Physics · JEE Main, NEET

Ray Optics

295 practice questions with a worked solution for each. Tap an option to see instantly if you are right.

229MCQ66Numerical76With diagram
Start with question 1 Revise Ray Optics firstSee it move: Lens ray diagramSee it move: Refraction and total internal reflection
  1. 1A ray of light undergoes minimum deviation through an equilateral glass prism of refractive index μ=3\mu = \sqrt{3}. The angle of minimum deviation δm\delta_m and angle of incidence ii are respectively:JEE Main/MCQ/Medium/With diagram
  2. 2In the given ray diagram, an object OO is placed in front of a thin convex lens of focal length f=20 cmf = 20\,\text{cm}. A real inverted image of the same size is formed at II. The distance between object OO and image II is:NEET/MCQ/Medium/With diagram
  3. 3A convex lens of focal length f=20 cmf = 20\,\text{cm} forms a real image of same size as object. Object distance is:NEET/MCQ/Medium
  4. 4Two thin lenses of focal lengths f1=+20 cmf_1 = +20\,\text{cm} and f2=−10 cmf_2 = -10\,\text{cm} are kept in contact. The power of the combination is:JEE Main/MCQ/Medium/With diagram
  5. 5A slanted object ABA B is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side. Angle made by the image with principal axis is:
    JEE Main/MCQ/Medium/Reflection of Light from Plane Mirror/With diagram
  6. 6When one light ray is reflected from a plane mirror with 30∘30^{\circ} angle of reflection, the angle of deviation of the ray after reflection is:JEE Main/MCQ/Medium/Reflection of Light from Plane Mirror
  7. 7An object is placed at a distance of 12cm12cm in front of a plane mirror. The virtual and erect image is formed by the mirror. Now the mirror is moved by 4cm4cm towards the stationary object. The distance by which the position of image would be shifted, will beJEE Main/MCQ/Medium/Reflection of Light from Plane Mirror
  8. 8Two vertical parallel mirrors AA and BB are separated by 1010 cm. AA point object OO is placed at a distance of 2cm2cm from mirror A.A. The distance of the second nearest image behind mirror AA from the mirror AA is _______cm.
    JEE Main/Numerical/Medium/Reflection of Light from Plane Mirror/With diagram
  9. 9The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are :-
    A. Real
    B. Erect
    C. Smaller in size than object
    D. Laterally inverted
    Choose the most appropriate answer from the options given below:    JEE Main/MCQ/Medium/Reflection of Light from Plane Mirror
  10. 10A light ray is incident, at an incident angle θ1{\theta }_{1}, on the system of two plane mirrors M1{M}_{1} and M2{M}_{2} having an inclination angle 75∘75^{\circ} between them (as shown in figure). After reflecting from mirror M1{M}_{1} it gets reflected back by the mirror M2{M}_{2} with an angle of reflection 30∘30^{\circ}. The total deviation of the ray will be _____ degree.
    JEE Main/Numerical/Medium/Reflection of Light from Plane Mirror/With diagram
  11. 11Two plane mirrors M1{M}_{1} and M2{M}_{2} are at right angle to each other shown. A point source PP is placed at aa and 2a2a meter away from M1{M}_{1} and M2{M}_{2} respectively. The shortest distance between the images thus formed is : (Take 5=2.3\sqrt{5}=2.3)
    JEE Main/MCQ/Medium/Reflection of Light from Plane Mirror/With diagram
  12. 12A point source of light SS, placed at a distance 60cm60cm infront of the centre of a plane mirror of width 50cm50cm, hangs vertically on a wall. A man walks infront of the mirror along a line parallel to the mirror at a distance 1.2m1.2m from it (see in the figure). The distance between the extreme points where he can see the image of the light source in the mirror is__cmcm
    JEE Main/Numerical/Medium/Reflection of Light from Plane Mirror/With diagram
  13. 13The incident ray, reflected ray and the outward drawn normal are denoted by the unitvectors a⃗,b⃗\vec{a},\vec{b}and c⃗\vec{c} respectively. Then choose the correct relation for these vectors.JEE Main/MCQ/Medium/Reflection of Light from Plane Mirror
  14. 14A point source of light, S is placed at a distance L in front of the center of plane mirror of width d which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance 2L as shown below. The distance over which the man can see the image of the light source in the mirror is:

    JEE Main/MCQ/Medium/Reflection of Light from Plane Mirror/With diagram
  15. 15Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M1)\left({M}_{1}\right) and parallel to the second mirror (M2)({M}_{2}) is finally reflected from the second mirror (M2)({M}_{2}) and parallel to the first mirror (M1).\left({M}_{1}\right). The angle between the two mirrors will be:JEE Main/MCQ/Medium/Reflection of Light from Plane Mirror
  16. 16To get three images of a single object, one should have two plane mirrors at an angle ofJEE Main/MCQ/Medium/Reflection of Light from Plane Mirror
  17. 17If two mirrors are kept at 60∘60^{\circ} to each other, then the number of images formed by them isJEE Main/MCQ/Medium/Reflection of Light from Plane Mirror
  18. 18A concave mirror of focal length 1010 cm forms an image which is double the size of object when the object is placed at two different positions. The distance between the two positions of the object is __________ cm.JEE Main/Numerical/Medium/Mirror Formula, Reflection in Spherical Mirror
  19. 19A rod of length 1010 cm lies along the principle axis of a concave mirror of focal length 1010 cm as shown in figure. The length of the image is _____ cm.
    JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror/With diagram
  20. 20Distance between an object and three times magnified real image is 40 cm. The focal length of the mirror used is ____\_\_\_\_ cm.JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  21. 21In parallax method for the determination of focal length of a concave mirror, the object should always be placed:JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  22. 22A mirror is used to produce an image with magnification of 14\frac{1}{4}. If the distance between object and its image is 40 cm , then the focal length of the mirror is ________JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  23. 23A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm. A plane mirror is now placed in such a way that the image produced by both the mirrors coincide with each other. The distance between the two mirrors is :JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  24. 24Distance between object and its image (magnified by −13)\left( \text{magnified by } -\frac{1}{3}\right) is 30 cm. The focal length of the mirror used is (x4)cm\left(\frac{x}{4}\right) \mathrm{cm},
    where magnitude of value of     xx is _________.    JEE Main/Numerical/Medium/Mirror Formula, Reflection in Spherical Mirror
  25. 25When an object is placed 40 cm away from a spherical mirror an image of magnification 12\frac{1}{2} is produced. To obtain an image with magnification of 13\frac{1}{3}, the object is to be moved :JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  26. 26Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12 cm , at same distance of 18 cm from the respective mirrors. The ratio of sizes of the images formed by convex mirror and by concave mirror is :JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  27. 27A concave mirror of focal length ff in air is dipped in a liquid of refractive index μ\mu. Its focal length in the liquid will be:JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  28. 28The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view mirror, which is a convex mirror with radius of curvature R=2 m\mathrm{R}=2 \mathrm{~m}. Another car approaches him from behind with a uniform speed of 90 km/hr90 \mathrm{~km} / \mathrm{hr}. When the car is at a distance of 24 m from him, the magnitude of the acceleration of the image of the car in the side view mirror is ' a '. The value of 100 a is _______ m/s2\mathrm{m} / \mathrm{s}^2.JEE Main/Numerical/Medium/Mirror Formula, Reflection in Spherical Mirror
  29. 29If the distance between object and its two times magnified virtual image produced by a curved mirror is 15cm15cm, the focal length of the mirror must be :JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  30. 30A convex mirror of radius of curvature 30cm30cm forms an image that is half the size of the object. The object distance is :JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  31. 31Two objects AandBAandB are placed at 15cmand25cm15cmand25cm from the pole in front of a concave mirror having radius of curvature 40cm40cm. The distance between images formed by the mirror is:JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  32. 32A thin cylindrical rod of length 10cm10cm is placed horizontally on the principle axis of a concave mirror of focal length 20cm20cm. The rod is placed in a such a way that mid point of the rod is at 40cm40cm from the pole of mirror. The length of the image formed by the mirror will be x3cm\dfrac{x}{3}cm. The value of xx is ______.JEE Main/Numerical/Medium/Mirror Formula, Reflection in Spherical Mirror
  33. 33In an experiment for estimating the value of focal length of converging mirror, image of an object placed at 40cm40cm from the pole of the mirror is formed at distance 120cm120cm from the pole of the mirror. These distances are measured with a modified scale in which there are 2020 small divisions in 1cm1cm. The value of error in measurement of focal length of the mirror is 1Kcm\dfrac{1}{K}cm. The value of KK is ______.JEE Main/Numerical/Medium/Mirror Formula, Reflection in Spherical Mirror
  34. 34An object 'OO' is placed at a distance of 100cm100cm in front of a concave mirror of radius of curvature 200cm200cm as shown in the figure. The object starts moving towards the mirror at a speed 2cms−12cm{s}^{-1}. The position of the image from the mirror after 10s10s will be at _____ cmcm.
    JEE Main/Numerical/Medium/Mirror Formula, Reflection in Spherical Mirror/With diagram
  35. 35An object is placed beyond the centre of curvature CC of the given concave mirror. If the distance of the object is d1{d}_{1} from CC and the distance of the image formed is d2{d}_{2} from C,C, the radius of curvature of this mirror is:JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  36. 36Car BB overtakes another car AA at a relative speed of 40ms−140{ms}^{-1}. How fast will the image of car BB appear to move in the mirror of focal length 10cm10cm fitted in car AA, when the car BB is 1.9m1.9m away from the car AA?JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  37. 37Region II and IIII are separated by a spherical surface of radius 25cm25cm. An object is kept in region II at a distance of 40cm40cm from the surface. The distance of
    the image from the surface is:
    JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror/With diagram
  38. 38The image of an object placed in air formed by a convex refracting surface is at a distance of 10m10m behind the surface. The image is real and is at 2rd3\dfrac{{2}^{rd}}{3} of the distance of the object from the surface. The wavelength of light inside the surface is 23\dfrac{2}{3} times the wavelength in air. The radius of the curved surface is x13m\dfrac{x}{13}m, the value of xx is ______ .JEE Main/Numerical/Medium/Mirror Formula, Reflection in Spherical Mirror
  39. 39A short straight object of height 100cm100cm lies before the central axis of a spherical mirror whose focal length has absolute value ∣f∣=40cm\left|f\right|=40cm. The image of object produced by the mirror is of height 25cm25cm and has the same orientation of the object. One may conclude from the information:JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  40. 40The same size images are formed by a convex lens when the object is placed at 20cm20cm or at 10cm10cm from the lens. The focal length of convex lens isJEE Main/Numerical/Medium/Mirror Formula, Reflection in Spherical Mirror
  41. 41The focal length ff is related to the radius of curvature rr of the spherical convex mirror by:JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  42. 42When an object is kept at a distance of 30cm30cm from a concave mirror, the image is formed at a distance of 10cm10cmfrom the mirror. If the object is moved with a speed of 9cms−19cm{s}^{-1} , the speed (in cms−1cm{s}^{-1}) with which image moves at that instant isJEE Main/Numerical/Medium/Mirror Formula, Reflection in Spherical Mirror
  43. 43A spherical mirror is obtained as shown in the figure from a hollow glass sphere, if an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure down as schematic and not to scale)
    JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror/With diagram
  44. 44An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical representation of the magnitude of linear magnification (m)\left(m\right) versus distance of the object from the mirror (x)\left(x\right) is correctly given by
    (Graphs are drawn schematically and are not to scale)    JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  45. 45A concave mirror has radius of curvature of 40cm.40cm. It is at the bottom of a glass that has water filled up to 5cm5cm (see figure). If a small particle is floating on the surface of water, its image as seen, from directly above the glass, is at a distance dd from the surface of water. The value of dd is close to: (Refractive index of water =1.33)=1.33)
    JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror/With diagram
  46. 46A concave mirror for face viewing has a focal length of 0.4m0.4m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 55 isJEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  47. 47A particle is oscillating on the xx-axis with an amplitude 2cm2cm about the point x0=10cm{x}_{0}=10cm with a frequency. A concave mirror of focal length 5cm5cm is placed at the origin (see figure).

    Identify the correct statements?
    (i) The image executes periodic motion.
    (ii) The image executes non-periodic motion.
    (iii) The turning points of the image are asymmetric with respect to the image of the point at     X=10cmX=10cm.
    (iv) The distance between the turning points of the oscillation of the image is     10021cm\dfrac{100}{21}cm.    JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror/With diagram
  48. 48A particle is oscillating on the X\mathrm{X}-axis with an amplitude 2 cm2 \mathrm{~cm} about the point x0=10 cmx_0=10 \mathrm{~cm} with a frequency ω\omega. A concave mirror of focal length 5 cm\mathrm{cm} is placed at the origin (see figure)
    Identify the correct statements:
    (A) The image executes periodic motion
    (B) The image executes non-periodic motion
    (C) The turning points of the image are asymmetric w.r.t the image of the point at     xx =10 cm=10 \mathrm{~cm}
    (D) The distance between the turning points of the oscillation of the image is     10021\frac{100}{21}
    JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror/With diagram
  49. 49A planoconvex lens becomes an optical system of 28 cm28 \mathrm{~cm} focal length when its plane surface is silvered and illuminated from left to right as shown in Fig-A. If the same lens is instead silvered on the curved surface and illuminated from other side as in Fig. B, it acts like an optical system of focal length 10 cm10 \mathrm{~cm}. The refractive index of the material of lens is
    JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror/With diagram
  50. 50You are asked to design a shaving mirror assuming that a person keeps it at 10cm10cm from his face and views the magnified image of the face at the closest comfortable distance of 25cm25cm. The radius of curvature of the mirror would then be:JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  51. 51A car is fitted with a convex side-view mirror of focal length 20 cm20 \mathrm{~cm}. A second car 2.8 m2.8 \mathrm{~m} behind the first car is overtaking the first car at relative speed of 15 m/s15 \mathrm{~m} / \mathrm{s}. The speed of the image of the second car as seen in the mirror of the first one is :JEE Main/MCQ/Medium/Mirror Formula, Reflection in Spherical Mirror
  52. 52One side of an equilateral prism is painted by a transparent material of refractive index n2n_2. The refractive index of prism is 1.61.6. The minimum value of n2n_2 required for total internal reflection from painted face is _______.
    JEE Main/MCQ/Medium/Critical angle and total internal reflection/With diagram
  53. 53Consider light travelling from a medium AA to medium BB separated by a plane interface. If the light undergoes total internal reflection during its travel from medium AA to BB and the speed of light in media AA and BB are 2.4×108 m/s2.4 \times 10^{8} \mathrm{~m} / \mathrm{s} and 2.7×108 m/s2.7 \times 10^{8} \mathrm{~m} / \mathrm{s}, respectively, then the value of critical angle is :JEE Main/MCQ/Medium/Critical angle and total internal reflection
  54. 54A transparent block A having refractive index μ=1.25\mu=1.25 is surrounded by another medium of refractive index μ=1.0\mu=1.0 as shown in figure. A light ray is incident on the flat face of the block with incident angle θ\theta as shown in figure. What is the maximum value of θ\theta for which light suffers total internal reflection at the top surface of the block?
    JEE Main/MCQ/Medium/Critical angle and total internal reflection/With diagram
  55. 55Critical angle of incidence for a pair of optical media is 45∘45^{\circ}. The refractive indices of first and second media are in the ratio:JEE Main/MCQ/Medium/Critical angle and total internal reflection
  56. 56Light travels in two media M1{M}_{1} and M2{M}_{2} with speeds 1.5×108ms−11.5\times {10}^{8}m{s}^{-1} and 2.0×108ms−12.0\times {10}^{8}m{s}^{-1} respectively. The critical angle between them isJEE Main/MCQ/Medium/Critical angle and total internal reflection
  57. 57The speed of light in media ′A′'A' and ′B′'B' are 2.0×1010cms−12.0\times {10}^{10}cm{s}^{-1} and 1.5×1010cms−11.5\times {10}^{10}cm{s}^{-1} respectively. A ray of light enters from the medium BB to AA at an incident angle′θ′'\theta '. If the ray suffers total internal reflection, thenJEE Main/MCQ/Medium/Critical angle and total internal reflection
  58. 58A light wave travelling linearly in a medium of dielectric constant 44, incidents on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be :
    (Given : relative permeability of medium     μr=1{\mu }_{r}=1)    JEE Main/MCQ/Medium/Critical angle and total internal reflection
  59. 59A ray of light entering from air into a denser medium of refractive index 43\dfrac{4}{3}, as shown in figure.
    The light ray suffers total internal reflection at the adjacent surface as shown. The maximum value of angle     θ\theta should be equal to:
    JEE Main/MCQ/Medium/Critical angle and total internal reflection/With diagram
  60. 60A ray of light passes from a denser medium to a rarer medium at an angle of incidence i.i. The reflected and refracted rays make an angle of 90∘90^{\circ} with each other. The angle of reflection and refraction are respectively rr and r′.{r}^{'}. The critical angle is given by,
    JEE Main/MCQ/Medium/Critical angle and total internal reflection/With diagram
  61. 61Three rays of light, namely red (R)\left(R\right), green (G)(G) and blue (B)(B) are incident on the face PQPQ of a right angled prism PQRPQR as shown in figure.

    The refractive indices of the material of the prism for red, green and blue wavelength are     1.27,1.421.27,1.42 and 1.491.49 respectively. The colour of the ray(s) emerging out of the face PRPR is :    JEE Main/MCQ/Medium/Critical angle and total internal reflection/With diagram
  62. 62There is a small source of light at some depth below the surface of water (refractive index =43=\dfrac{4}{3} ) in a tank of large cross sectional surface area. Neglecting any reflection from the bottom and absorption by water, percentage of light that emerges out of surface is (nearly):
    [Use the fact that surface area of a spherical cap of height     hh and radius of curvature rr is 2πrh2\pi rh ]    JEE Main/MCQ/Medium/Critical angle and total internal reflection
  63. 63The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 33 and relative permeability 43\dfrac{4}{3} for this wavelength, will be:JEE Main/MCQ/Medium/Critical angle and total internal reflection
  64. 64A transparent cube of side dd, made of a material of refractive index μ2{\mu }_{2}, is immersed in a liquid of refractive index μ1(μ1<μ2)μ1 ( μ1<μ2). A ray is incident on the face ABAB at an angle θ\theta (shown in the figure). Total internal reflection takes place at the point EE on the face BC.BC.



    Then,     θ\theta must satisfy    JEE Main/MCQ/Medium/Critical angle and total internal reflection/With diagram
  65. 65In figure, the optical fiber is l=2ml=2m long and has a diameter of d=20μm.d=20\mu m. If a ray of light is incident on one end of the fiber at angle θ1=40∘{\theta }_{1}=40^{\circ} , the number of reflections it makes before emerging from the other end is close to:
    (refractive index of fiber is     1.311.31 , sin40∘=0.64sin40^{\circ}=0.64 and sin⁡−1⁡0.49=30∘{\sin }^{-1}⁡0.49=30^{\circ} .)
    JEE Main/MCQ/Medium/Critical angle and total internal reflection/With diagram
  66. 66Let the refractive index of a denser medium with respect to rarer medium be n12{n}_{12} and its critical angle be θC{\theta }_{C} . At an angle of incidence AA when light is travelling from denser medium to rarer medium, a part of the light is reflected and the rest is refracted and the angle between reflected and refracted rays is 90o{90}^{o}. Angle AA is given byJEE Main/MCQ/Medium/Critical angle and total internal reflection
  67. 67A ray of light is incident from a denser to a rarer medium. The critical angle for total internal reflection is θiC{\theta }_{\text{iC}} and Brewster's angle of incidence is θiB{\theta }_{\text{iB}}, such that sinθiCsinθiB=η=1.28\dfrac{\text{sin}{\theta }_{\text{iC}}}{\text{sin}{\theta }_{\text{iB}}}=\eta =1\text{.}28. The relative refractive index of the two media isJEE Main/MCQ/Medium/Critical angle and total internal reflection
  68. 68A green light is incident from the water to the air - water interface at the critical angle (θc)\left({\theta }_{c}\right). Select the correct statement.JEE Main/MCQ/Medium/Critical angle and total internal reflection
  69. 69A light ray falls on a square glass slab as shown in the diagram. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is equal to :
    JEE Main/MCQ/Medium/Critical angle and total internal reflection/With diagram
  70. 70This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
    Statement-1: Short wave transmission is achieved due to the total internal reflection of the e-m wave from an appropriate height in the ionosphere.
    Statement-2: Refractive index of a plasma is independent of the frequency of e-m waves.    JEE Main/MCQ/Medium/Critical angle and total internal reflection
  71. 71Light is incident from a medium into air at two possible angles of incidence (A) 20∘20^{\circ} and (B) 40∘40^{\circ}. In the medium light travels 3.0 cm3.0 \mathrm{~cm} in 0.2 ns0.2 \mathrm{~ns}. The ray will :JEE Main/MCQ/Medium/Critical angle and total internal reflection
  72. 72Which of the following processes play a part in the formation of a rainbow?
    (i) Refraction
    (ii) Total internal reflection
    (iii) Dispersion
    (iv) Interference    JEE Main/MCQ/Medium/Critical angle and total internal reflection
  73. 73A transparent solid cylindrical rod has a refractive index of 23\frac{2}{\sqrt{3}}. It is surrounded by air. A light ray is incident at the mid point of one end of the rod as shown in the figure.
    The incident angle     θ\theta for which the light ray grazes along the wall of the rod is
    JEE Main/MCQ/Medium/Critical angle and total internal reflection/With diagram
  74. 74Which of the following is used in optical fibres ?JEE Main/MCQ/Medium/Critical angle and total internal reflection
  75. 75Light ray incident along a vector AO⃗\vec{AO} (AO⃗=2i^−3j^)(\vec{AO} = 2\hat{i}-3\hat{j}) emerges out along vector OB⃗\vec{OB} (OB⃗=Ci^−4j^)(\vec{OB} = C\hat{i}-4\hat{j}) as shown in the figure below. The value of CC is ________.
    JEE Main/MCQ/Medium/Refraction of light from plane surface/With diagram
  76. 76The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4/34 / 3. The wavelength of the same light when it is passing through a transparent medium having refractive index of 3/23 / 2 is ____\_\_\_\_ nm.JEE Main/MCQ/Medium/Refraction of light from plane surface
  77. 77Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)
    Assertion (A) : Refractive index of glass is higher than that of air.
    Reason (     R\mathrm{R}) : Optical density of a medium is directly proportionate to its mass density which results in a proportionate refractive index.
    In the light of the above statements, choose the most appropriate answer from the options given below :    JEE Main/MCQ/Medium/Refraction of light from plane surface
  78. 78A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above first liquid. If viewed from above, the apparent shift in the position of bottom of container is 40 cm. The value of H is ______ cm.
    (Consider liquids are immisible)    JEE Main/Numerical/Medium/Refraction of light from plane surface
  79. 79Two light beams fall on a transparent material block at point 1 and 2 with angle \(\theta_1\) and \(\theta_{2^{\prime}}\) respectively, as shown in figure. After refraction, the beams intersect at point 3 which is exactly on the interface at other end of the block. Given : the distance between 1 and 2, \(\mathrm{d}=4 \sqrt{3} \mathrm{~cm}\) and \(\theta_1=\theta_2=\cos ^{-1}\left(\frac{\mathrm{n}_2}{2 \mathrm{n}_1}\right)\), where refractive index of the block \(\mathrm{n}_2\gt\) refractive index of the outside medium \(\mathrm{n}_1\), then the thickness of the block is ________ cm.
    JEE Main/Numerical/Medium/Refraction of light from plane surface/With diagram
  80. 80At the interface between two materials having refractive indices \(n_1\) and \(n_2\), the critical angle for reflection of an em wave is \(\theta_{1 C}\). The \(n_2\) material is replaced by another material having refractive index \(n_3\) such that the critical angle at the interface between \(n_1\) and \(n_3\) materials is \(\theta_{2 \mathrm{C}}\). If \(\mathrm{n}_3\gt\mathrm{n}_2\gt\mathrm{n}_1 ; \frac{\mathrm{n}_2}{\mathrm{n}_3}=\frac{2}{5}\) and \(\sin \theta_{2 \mathrm{C}}-\sin \theta_{1 \mathrm{C}}=\frac{1}{2}\), then \(\theta_{1 \mathrm{C}}\) isJEE Main/MCQ/Medium/Refraction of light from plane surface
  81. 81What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' hh ' in terms of the angle of incidence ' ii ' and angle of refraction ' rr ', if the glass slab is placed in air medium?JEE Main/MCQ/Medium/Refraction of light from plane surface
  82. 82A transparent film of refractive index, 2.0 is coated on a glass slab of refractive index, 1.45. What is the minimum thickness of transparent film to be coated for the maximum transmission of Green light of wavelength 550 nm . [Assume that the light is incident nearly perpendicular to the glass surface.]JEE Main/MCQ/Medium/Refraction of light from plane surface
  83. 83In finding out refractive index of glass slab the following observations were made through travelling microscope 50 vernier scale division =49MSD;20=49 \mathrm{MSD} ; 20 divisions on main scale in each cm\mathrm{cm}
    For mark on paper
    MSR=8.45 cm,VC=26\mathrm{MSR}=8.45 \mathrm{~cm}, \mathrm{VC}=26
    For mark on paper seen through slab
    MSR     =7.12 cm,VC=41=7.12 \mathrm{~cm}, V C=41
    For powder particle on the top surface of the glass slab
    MSR=4.05 cm,VC=1\mathrm{MSR}=4.05 \mathrm{~cm}, \mathrm{VC}=1
    (MSR     == Main Scale Reading, VC == Vernier Coincidence)
    Refractive index of the glass slab is :    JEE Main/MCQ/Medium/Refraction of light from plane surface
  84. 84A light ray is incident on a glass slab of thickness 43 cm4 \sqrt{3} \mathrm{~cm} and refractive index 2\sqrt{2} . The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is _____ cm\mathrm{cm}. (\left(\right. Given sin⁡15∘=0.25)\left.\sin 15^{\circ}=0.25\right)JEE Main/Numerical/Medium/Refraction of light from plane surface
  85. 85Two immiscible liquids of refractive indices 85\dfrac{8}{5} and 32\dfrac{3}{2} respectively are put in a beaker as shown in the figure. The height of each column is 6cm6cm. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is α4cm\dfrac{\alpha }{4}cm. The value of α\alpha is _______.JEE Main/Numerical/Medium/Refraction of light from plane surface/With diagram
  86. 86A fish rising vertically upward with a uniform velocity of 8ms–1,8m{s}^{–1}, observes that a bird is diving vertically downward towards the fish with the velocity of 12ms–1.12m{s}^{–1}. If the refractive index of water is 43,\dfrac{4}{3}, then the actual velocity of the diving bird to pick the fish, will be__________m{s}^{-1}.
    JEE Main/Numerical/Medium/Refraction of light from plane surface/With diagram
  87. 87A vessel of depth dd is half filled with oil of refractive index n1{n}_{1} and the other half is filled with water of refractive index n2.{n}_{2}. The apparent depth of this vessel when viewed from above will be-JEE Main/MCQ/Medium/Refraction of light from plane surface
  88. 88As shown in the figure, a plane mirror is fixed at a height of 50cm50cm from the bottom of tank containing water (μ=43)\left(\mu =\dfrac{4}{3}\right). The height of water in the tank is 8cm8cm. A small bulb is placed at the bottom of the water tank. The distance of image of the bulb formed by mirror from the bottom of the tank is ______ cmcm.
    JEE Main/Numerical/Medium/Refraction of light from plane surface/With diagram
  89. 89The critical angle for a denser-rarer interface is 45∘45^{\circ}. The speed of light in rarer medium is 3×108ms−13\times {10}^{8}m{s}^{-1}. The speed of light in the denser medium is:JEE Main/MCQ/Medium/Refraction of light from plane surface
  90. 90Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
    Assertion A: The phase difference of two light waves change if they travel through different media having same thickness, but different indices of refraction.
    Reason R: The wavelengths of waves are different in different media.
    In the light of the above statements, choose the most appropriate answer from the options given below    JEE Main/MCQ/Medium/Refraction of light from plane surface
  91. 91A pole is vertically submerged in swimming pool, such that it gives a length of shadow 2.15m2.15m within water when sunlight is incident at an angle of 30∘30^{\circ} with the surface of water. If swimming pool is filled to a height of 1.5m,1.5m, then the height of the pole above the water surface in centimeters is ({n}_{w}=\dfrac{4}{3})________.JEE Main/Numerical/Medium/Refraction of light from plane surface
  92. 92A monochromatic light wave with wavelength λ1{\lambda }_{1} and frequency ν1{\nu }_{1} in air enters another medium. If the angle of incidence and angle of refraction at the interface are 45∘45^{\circ} and 30∘30^{\circ} respectively, then the wavelength λ2{\lambda }_{2} and frequency ν2{\nu }_{2} of the refracted wave are:JEE Main/MCQ/Medium/Refraction of light from plane surface
  93. 93A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index 53\dfrac{5}{3} is poured inside the bucket, then microscope have to be raised by 30cm30cm to focus the object again. The height of the liquid in the bucket is :JEE Main/MCQ/Medium/Refraction of light from plane surface
  94. 94In a medium the speed of light wave decreases to 0.20.2 times to its speed in free space. The ratio of relative permittivity to the refractive index of the medium is x:1x:1. The value of xx is ______.
    (Given speed of light in free space     =3×108ms−1=3\times {10}^{8}m{s}^{-1} and for the given medium μr=1{\mu }_{r}=1)    JEE Main/Numerical/Medium/Refraction of light from plane surface
  95. 95A ray of light is incident from air on a glass plate having thickness 3cm\sqrt{3}cm and refractive index 2\sqrt{2}. The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is ____\times {{10}^{-}}^{2}cm . (given sin⁡15∘=0.26\sin 15^{\circ}=0.26)JEE Main/Numerical/Medium/Refraction of light from plane surface
  96. 96Light enters from air into a given medium at an angle of 45∘45^{\circ} with interface of the air-medium surface. After refraction, the light ray is deviated through an angle of 15∘15^{\circ} from its original direction. The refractive index of the medium is :JEE Main/MCQ/Medium/Refraction of light from plane surface
  97. 97The X−YX-Y plane be taken as the boundary between two transparent media M1{M}_{1} and M2{M}_{2}. M1{M}_{1} in Z≥0Z\geq 0 has a refractive index of 2\sqrt{2} and M2{M}_{2} with Z<0Z\lt 0 has a refractive index of 3\sqrt{3}. A ray of light travelling in M1{M}_{1} along the direction given by the vector A⃗=43i−33j−5k^\vec{A}=4\sqrt{3i}-3\sqrt{3}j-5\hat{k}, is incident on the plane of separation. The value of difference between the angle of incident in M1{M}_{1} and the angle of refraction in M2{M}_{2} will be _____ degree.JEE Main/Numerical/Medium/Refraction of light from plane surface
  98. 98As shown in the figure, after passing through the medium 11. The speed of light v2{v}_{2} in medium 22 will be :
    (Given     c=3×108ms−1c=3\times {10}^{8}m{s}^{-1})
    JEE Main/MCQ/Medium/Refraction of light from plane surface/With diagram
  99. 99In the given figure, the face ACAC of the equilateral prism is immersed in a liquid of refractive index nn. For incident angle 60∘60^{\circ} at the side ACAC, the refracted light beam just grazes along face ACAC. The refractive index of the liquid n=x4n=\dfrac{\sqrt{x}}{4}. The value of xx is _____ .
    (Given refractive index of glass     =1.5=1.5)
    JEE Main/Numerical/Medium/Refraction of light from plane surface/With diagram
  100. 100Time taken by light to travel in two different materials AA and BB of refractive indices μA{\mu }_{A} and μB{\mu }_{B} of same thickness is t1{t}_{1} and t2{t}_{2} respectively. If t2−t1=5×10−10s{t}_{2}-{t}_{1}=5\times {10}^{-10}s and the ratio of μA{\mu }_{A} to μB{\mu }_{B} is 1:21:2. Then the thickness of material, in meter is: (Given vA{v}_{A} and vB{v}_{B} are velocities of light in AA and BB materials respectively).JEE Main/MCQ/Medium/Refraction of light from plane surface
  101. 101Consider a light ray travelling in air is incident into a medium of refractive index 2n\sqrt{2n}. The incident angle is twice that of refracting angle. Then, the angle of incidence will beJEE Main/MCQ/Medium/Refraction of light from plane surface
  102. 102A small bulb is placed at the bottom of a tank containing water to a depth of 7m\sqrt{7}m. The refractive index of water is 43\dfrac{4}{3}. The area of the surface of water through which light from the bulb can emerge out is xπm2x\pi {m}^{2}. The value of xx is _____ .JEE Main/Numerical/Medium/Refraction of light from plane surface
  103. 103The difference of speed of light in the two media AA and B(vA−vB)B\left({v}_{A}-{v}_{B}\right) is 2.6×107ms−12.6\times {10}^{7}m{s}^{-1}. If the refractive index of medium BB is 1.471.47, then the ratio of refractive index of medium BB to medium AA is: (Given : speed of light in vacuum c=3×108ms−1c=3\times {10}^{8}{ms}^{-1})JEE Main/MCQ/Medium/Refraction of light from plane surface
  104. 104A ray of light is incident at an angle of incidence 60∘60^{\circ} on the glass slab of refractive index 3\sqrt{3}. After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is 43cm4\sqrt{3}cm. The thickness of the glass slab is _____ cmcm.JEE Main/Numerical/Medium/Refraction of light from plane surface
  105. 105A ray of laser of a wavelength 630nm630nm is incident at an angle of 30∘30^{\circ} at the diamond-air interface. It is going from diamond to air. The refractive index of diamond is 2.422.42 and that of air is 11. Choose the correct option.JEE Main/MCQ/Medium/Refraction of light from plane surface
  106. 106Two light waves having the same wavelength λ\lambda in vacuum are in phase initially. Then the first wave travels a path L1{L}_{1} through a medium of refractive index n1{n}_{1}while the second wave travels a path of length L2{L}_{2} through a medium of refractive index n2{n}_{2}. After this the phase difference between the two waves is:JEE Main/MCQ/Medium/Refraction of light from plane surface
  107. 107An observer can see through a small hole on the side of a jar (radius 15cm15cm ) at a point at height of 15cm15cm from the bottom (see figure). The hole is at a height of 45cm45cm. When the jar is filled with a liquid up to a height of 30cm30cm the same observer can see the edge at the bottom of the jar. If the refractive index of the liquid isN100,\dfrac{N}{100}, where NN is an integer, the value of NN is
    JEE Main/Numerical/Medium/Refraction of light from plane surface/With diagram
  108. 108A light ray enters a solid glass sphere of refractive index μ=3\mu =\sqrt{3} at an angle of incidence 60∘60^{\circ}. The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and refracted rays at this surface is _____________.JEE Main/Numerical/Medium/Refraction of light from plane surface
  109. 109A vessel of depth 2h2h is half filled with a liquid of refractive index 222\sqrt{2} and the upper half with another liquid of refractive index 2\sqrt{2} . The liquids are immiscible. The apparent depth of the inner surface of the bottom of the vessel will beJEE Main/MCQ/Medium/Refraction of light from plane surface
  110. 110A ray of light AOAO in vacuum is incident on a glass slab at angle 60∘60^{\circ} and refracted at angle 30∘30^{\circ} along OBOB as shown in the figure. The optical path length of light ray from AA to BB is:
    JEE Main/MCQ/Medium/Refraction of light from plane surface/With diagram
  111. 111A light wave is incident normally on a glass slab of refractive index 1.5.1.5. If 44% of light gets reflected and the amplitude of the electric field of the incident light is 30Vm,30\dfrac{V}{m}, then the amplitude of the electric field for the wave propagating in the glass medium will be:JEE Main/MCQ/Medium/Refraction of light from plane surface
  112. 112To determine refractive index of glass slab using a travelling microscope, minimum number of readings required are :JEE Main/MCQ/Medium/Refraction of light from plane surface
  113. 113A diver looking up through the water sees the outside world contained in a circular horizon. The refractive index of water is 43\dfrac{4}{3}, and the diver's eyes are 15cm15cm below the surface of the water. Then the radius of the circle is :JEE Main/MCQ/Medium/Refraction of light from plane surface
  114. 114A printed page is pressed by a glass of water. The refractive index of the glass and water is 1.51.5 and 1.331.33, respectively. If the thickness of the bottom of glass is 1 cm1 \mathrm{~cm} and depth of water is 5 cm5 \mathrm{~cm}, how much the page will appear to be shifted if viewed from the top ?JEE Main/MCQ/Medium/Refraction of light from plane surface
  115. 115A ray of light of intensity I\mathrm{I} is incident on a parallel glass slab at point A\mathrm{A} as shown in diagram. It undergoes partial reflection and refraction. At each reflection, 25%25 \% of incident energy is reflected. The rays AB\mathrm{AB} and A′B′\mathrm{A}^{\prime} \mathrm{B}^{\prime} undergo interference. The ratio of Imax⁡\mathrm{I}_{\max } and Imin⁡\mathrm{I}_{\min } is :
    JEE Main/MCQ/Medium/Refraction of light from plane surface/With diagram
  116. 116Let the x−zx-z plane be the boundary between two transparent media. Medium 1 in z≥0z \geq 0 has a refractive index of 2\sqrt{2} and medium 2 with z<0z \lt 0 has a refractive index of 3\sqrt{3}. A ray of light in medium 1 given by the vector A⃗=63i^+83j^−10k^\vec{A}=6 \sqrt{3} \hat{i}+8 \sqrt{3} \hat{j}-10 \hat{k} is incident on the plane of separation. The angle of refraction in medium 2 isJEE Main/MCQ/Medium/Refraction of light from plane surface
  117. 117An initially parallel cylindrical beam travels in a medium of refractive index μ(I)=μ0+μ2I\mu(I)=\mu_0+\mu_2 I, where μ0\mu_0 and μ2\mu_2 are positive constants and I\mathrm{I} is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.
    The speed of light in the medium is    JEE Main/MCQ/Medium/Refraction of light from plane surface
  118. 118An initially parallel cylindrical beam travels in a medium of refractive index μ(I)=μ0+μ2I\mu(I)=\mu_0+\mu_2 I, where μ0\mu_0 and μ2\mu_2 are positive constants and I\mathrm{I} is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.
    The initial shape of the wave front of the beam is    JEE Main/MCQ/Medium/Refraction of light from plane surface
  119. 119An initially parallel cylindrical beam travels in a medium of refractive index μ(I)=μ0+μ2I\mu(I)=\mu_0+\mu_2 I, where μ0\mu_0 and μ2\mu_2 are positive constants and I\mathrm{I} is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.
    As the beam enters the medium, it will    JEE Main/MCQ/Medium/Refraction of light from plane surface
  120. 120A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/34 / 3 and the fish is 12 cm12 \mathrm{~cm} below the surface, the radius of this circle in cm\mathrm{cm} isJEE Main/MCQ/Medium/Refraction of light from plane surface
  121. 121A thin biconvex lens is prepared from the glass (μ=1.5\mu=1.5) both curved surfaces of which have equal radii of 2020 cm each. Left side surface of the lens is silvered from outside to make it reflecting. To have the position of image and object at the same place, the object should be placed, from the lens at a distance of ________ cm.JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  122. 122A spherical interface lens of radius RR separates two media of refractive indices 11 and 1.41.4 respectively as shown in the figure below. A point source is placed at a distance of 4R4R in front of spherical interface. The magnitude of the magnification of point source image is _______.
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  123. 123An object ABAB is placed 15 cm15\text{ cm} on the left of a convex lens PP of focal length 10 cm10\text{ cm}. Another convex lens QQ is now placed 15 cm15\text{ cm} right of lens PP. If the focal length of lens QQ is 15 cm15\text{ cm}, the final image is _______.JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  124. 124A thin convex lens and a thin concave lens are kept in contact and are co-axial. Which of the following statements is correct for this combination of two lenses ?JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  125. 125A convex lens is made from glass material having refractive index of 1.41.4 with same radius of curvature on both sides. The ratio of its focal length and radius of curvature is ______.JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  126. 126If sunlight is focused on a paper using convex lens, it starts burning the paper in shortest time when the lens is kept at 3030 cm above the paper. If the radius of curvature of the lens is 6060 cm then the refractive index of the lens material is α10\dfrac{\alpha}{10}. The value of α\alpha is _______.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  127. 127Refer the figure given below. μ1\mu_1 and μ2\mu_2 are refractive indices of air and lens material. The height of image will be _______ cm.
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  128. 128A convex lens of refractive index 1.5 and focal length f=18 cmf=18 \mathrm{~cm} is immersed in water. The difference in focal lengths of the given lens when it is in water and in air is α×f\alpha \times \mathrm{f}. The value of α\alpha is ____\_\_\_\_.
    (refractive index of water     =4/3=4 / 3)    JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  129. 129The magnitudes of power of a biconvex lens (refractive index 1.5) and that of a plano-concave lens (refractive index =1.7=1.7) are same. If the curvature of planoconcave lens exactly matches with the curvature of back surface of the biconvex lens, then ratio of radius of curvature of front and back surface of the biconvex lens is ____\_\_\_\_.JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  130. 130Five persons P1,P2,P3,P4\mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3}, \mathrm{P}_{4} and P5\mathrm{P}_{5} recorded object distance (u)(\mathrm{u}) and image distance (v) using same convex lens having power +5 D as (25,96),(30,62),(35,37),(45,35)(25,96),(30,62),(35,37),(45,35) and (50,32)(50,32) respectively. Identify correct statementJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  131. 131The size of the images of an object, formed by a thin lens are equal when the object is placed at two different positions 8 cm and 24 cm from the lens. The focal length of the lens is ____\_\_\_\_ cm.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  132. 132A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm. Refractive index of glass is 1.5. The rays converge to a point at a distance x cmx \mathrm{~cm} from the centre of the curvature of the spherical surface. The value of xx is ____\_\_\_\_ cm.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  133. 133A collimated beam of light of diameter 2 mm is propagating along xx-axis. The beam is required to be expanded in a collimated beam of diameter 14 mm using a system of two convex lenses. If first lens has focal length 40 mm, then the focal length of second lens is ____\_\_\_\_ mm.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  134. 134A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20 cm. An object is placed at 20 cm to the left of this lens system. The distance of the image from the lens in cm is ________JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  135. 135A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20 cm , respectively. The concave surface is upwards and is filled with a liquid of refractive index 1.3. The focal length of the liquid-glass combination will beJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  136. 136Two thin convex lenses of focal length 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  137. 137A lens having refractive index 1.6 has focal length of 12 cm , when it is in air. Find the focal length of the lens when it is placed in water.
    (Take refractive index of water as 1.28)    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  138. 138Light from a point source in air falls on a spherical glass surface (refractive index, μ=1.5\mu=1.5 and radius of curvature =50 cm=50 \mathrm{~cm}). The image is formed at a distance of 200 cm from the glass surface inside the glass. The magnitude of distance of the light source from the glass surface is ____ m.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  139. 139The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens is 12 cm. The refractive index of the lens material isJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  140. 140A bi-convex lens has radius of curvature of both the surfaces same as 1/6 cm1 / 6 \mathrm{~cm}. If this lens is required to be replaced by another convex lens having different radii of curvatures on both sides (R1≠R2)\left(R_1 \neq R_2\right), without any change in lens power then possible combination of R1R_1 and R2R_2 is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  141. 141
    A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image of an object ' O ', is :
    ( C is the center of curvature of the spherical surface and     RR is the radius of curvature)    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  142. 142

    Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B . The separation between the images of     OO, formed by each refracting surface is :    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  143. 143A convex lens made of glass (refractive index =1.5=1.5 ) has focal length 24 cm in air. When it is totally immersed in water (refractive index =1.33=1.33 ), its focal length changes toJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  144. 144Two identical symmetric double convex lenses of focal length ff are cut into two equal parts L1,L2L_1, L_2 by ABA B plane and L3,L4L_3, L_4 by XYX Y plane as shown in figure respectively. The ratio of focal lengths of lenses L1L_1 and L3L_3 is
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  145. 145Let u and \(v\) be the distances of the object and the image from a lens of focal length \(f\). The correct graphical representation of \(\mathbf{u}\) and \(v\) for a convex lens when \(|\mathbf{u}|\gt f\), isJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  146. 146In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus towards AA. If an object placed at 13 cm from the vertex of the meniscus in A forms an image with a magnification of ' −2′-2^{\prime} then the radius of curvature of meniscus is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  147. 147A concave mirror produces an image of an object such that the distance between the object and image is 20 cm . If the magnification of the image is ' -3 ', then the magnitude of the radius of curvature of the mirror is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  148. 148A hemispherical vessel is completely filled with a liquid of refractive index μ\mu. A small coin is kept at the lowest point (O)(\mathrm{O}) of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that a person can see the coin from point E (at the level of the vessel) is
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  149. 149A photograph of a landscape is captured by a drone camera at a height of 18 km . The size of the camera film is 2 cm×2 cm2 \mathrm{~cm} \times 2 \mathrm{~cm} and the area of the landscape photographed is 400 km2400 \mathrm{~km}^2. The focal length of the lens in the drone camera is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  150. 150What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D from 2.5D ? ['D' stands for dioptre]JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  151. 151Given a thin convex lens (refractive index μ2\mu_2 ), kept in a liquid (refractive index μ1,μ1<μ2\mu_1, \mu_1 \lt \mu_2 ) having radii of curvatures ∣R1∣\left|R_1\right| and ∣R2∣\left|R_2\right|. Its second surface is silver polished. Where should an object be placed on the optic axis so that a real and inverted image is formed at the same place?JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  152. 152A spherical surface of radius of curvature RR, separates air from glass (refractive index =1.5=1.5 ). The centre of curvature is in the glass medium. A point object ' OO ' placed in air on the optic axis of the surface, so that its real image is formed at ' II ' inside glass. The line OI intersects the spherical surface at P and PO=PI\mathrm{PO}=\mathrm{PI}. The distance PO equals toJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  153. 153In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them as compared to ∣R1∣\left|R_1\right| and ∣R2∣\left|R_2\right|, i.e., the radii of curvature for upper and lower surfaces of the glass lens, the power of the combination is

    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  154. 154Given is a thin convex lens of glass (refractive index μ\mu ) and each side having radius of curvature RR. One side is polished for complete reflection. At what distance from the lens, an object be placed on the optic axis so that the image gets formed on the object itself ?JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  155. 155The following figure represents two biconvex lenses L1L_1 and L2L_2 having focal length 10 cm10 \mathrm{~cm} and 15 cm15 \mathrm{~cm} respectively. The distance between L1&L2L_1 \& L_2 is :
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  156. 156Given below are two statements :
    Statement (I) : When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side.
    Statement (II) : Concave lens always forms a virtual and erect image.
    In the light of the above statements, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  157. 157The position of the image formed by the combination of lenses is :
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  158. 158For the thin convex lens, the radii of curvature are at 15 cm15 \mathrm{~cm} and 30 cm30 \mathrm{~cm} respectively. The focal length the lens is 20 cm20 \mathrm{~cm}. The refractive index of the material is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  159. 159An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis is 25D25 \mathrm{D}. Focal length of each of the convex lens is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  160. 160The distance between object and its 33 times magnified virtual image as produced by a convex lens is 20cm.20cm. The focal length of the lens used is ________ cm.cm.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  161. 161Light from a point source in air falls on a convex curved surface of radius 20cm20cm and refractive index 1.51.5. If the source is located at 100cm100cm from the convex surface, the image will be formed at ______ cmcm from the object.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  162. 162In an experiment to measure the focal length (f)(f) of a convex lens, the magnitude of object distance(x)(x) and the image distance(y)(y) are measured with reference to the focal point of the lens. The y−xy-x plot is shown in figure. The focal length of the lens is _____cm.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  163. 163The distance between object and its two times magnified real image as produced by a convex lens is 45cm45cm. The focal length of the lens used is ________cmcm.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  164. 164A biconvex lens of refractive index 1.51.5 has a focal length of 20cm20cm in air. Its focal length when immersed in a liquid of refractive index 1.61.6 will be:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  165. 165A convex lens of focal length 40cm40cm forms an image of an extended source of light on a photoelectric cell. A current II is produced. The lens is replaced by another convex lens having the same diameter but focal length 20cm20cm. The photoelectric current now isJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  166. 166A bi convex lens of focal length 10cm10cm is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is _____ DD.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  167. 167An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is 12cm12cm. When viewed from the opposite side, the apparent distance of the bubble is observed as 4cm4cm. If the side of the ice cube is 24cm24cm, the refractive index of the ice cube isJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  168. 168The radius of curvature of each surface of a convex lens having refractive index 1.81.8 is 20cm20cm. The lens is now immersed in a liquid of refractive index 1.51.5. The ratio of power of lens in air to its power in the liquid will be x:1x:1. The value of xx isJEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  169. 169A point object OO is placed in front of two thin symmetrical coaxial convex lenses L1{L}_{1} and L2{L}_{2} with focal length 24cm24cm and 9cm9cm respectively. The distance between two lenses is 10cm10cm and the object is placed 6cm6cm away from lens L1{L}_{1} as shown in the figure. The distance between the object and the image formed by the system of two lenses is _____________ cmcm
    JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  170. 170Two transparent media having refractive indices 1.01.0 and 1.51.5 are separated by a spherical refracting surface of radius of curvature 30cm30cm. The centre of curvature of surface is towards denser medium and a point object is placed on the principal axis in rarer medium at a distance of 15cm15cm from the pole of the surface. The distance of image from the pole of the surface is cmcm.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  171. 171A 22 meter long scale with least count of 0.2cm0.2cm is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at 80cm80cm mark and 1m1m mark, respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at 180cm180cm mark. The % error in the estimation of focal length is:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  172. 172A person has been using spectacles of power −1.0-1.0 diopter for distant vision and a separate reading glass of power 2.02.0 diopters. What is the least distance of distinct vision for this person:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  173. 173A convex lens of refractive index 1.51.5 and focal length 18cm18cm in air is immersed in water. The change in focal length of the lens will be_____cmcm.
    (Given refractive index of water    =43=\dfrac{4}{3})    JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  174. 174When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is called :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  175. 175As shown in the figure, a combination of a thin plano-concave lens and a thin plano-convex lens is used to image an object placed at infinity. The radius of curvature of both the lenses is 30cm30cm and refraction index of the material for both the lenses is 1.751.75. Both the lenses are placed at distance of 40cm40cm from each other. Due to the combination, the image of the object is formed at distance x=x= ______ cmcm, from concave lens.
    JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  176. 176In an experiment with a convex lens. The plot of the image distance (v′)\left({v}^{'}\right) against the object distance (μ′)\left({\mu }^{'}\right) measured from the focus gives a curve v′μ′=225{v}^{'}{\mu }^{'}=225. If all the distances are measured in cmcm. The magnitude of the focal length of the lens is _____ cmcm.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  177. 177The power of a lens (biconvex) is 1.25m−11.25{m}^{-1} in particular medium. Refractive index of the lens is 1.51.5 and radii of curvature are 20cm20cm and 40cm40cm respectively. The refractive index of surrounding medium:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  178. 178The graph between 1u\dfrac{1}{u} and 1v\dfrac{1}{v} for a thin convex lens in order to determine its focal length is plotted as shown in the figure. The refractive index of lens is 1.51.5 and its both the surfaces have same radius of curvatures RR. The value of RR will be _____ cmcm.
    (Where     u=u= object distance, v=v= image distance)
    JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  179. 179A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30cm30cm and refractive index 1.51.5. The distance from the centre of the globe at which beam of light can converge is _____ mmmm.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  180. 180A convex lens has power PP. It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect option for the reported pieces.
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  181. 181An object is placed at the focus of concave lens having focal length f.f. What is the magnification and distance of the image from the optical centre of the lens?JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  182. 182Curved surfaces of a plano-convex lens of refractive index μ1{\mu }_{1} and a plano-concave lens of refractive index μ2{\mu }_{2} have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the combined lenses
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  183. 183Find the distance of the image from object O,O, formed by the combination of lenses in the figure:
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  184. 184The refractive index of a converging lens is 1.41.4. What will be the focal length of this lens if it is placed in a medium of same refractive index ? (Assume the radii of curvature of the faces of lens are R1{R}_{1} and R2{R}_{2} respectively)JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  185. 185A double convex lens has power PP and same radii of curvature rr of both the surfaces. The radius of curvature of a surface of a plano-convex lens made of the same material with power 1.5P1.5P is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  186. 186A point like object is placed at distance of 1m1m in front of a convex lens of focal length 0.5m0.5m. A plane mirror is placed at a distance of 2m2m behind the lens. The position and nature of the image formed by the system isJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  187. 187For a concave lens of focal length ff, the relation between object and image distance uu and v,v, respectively, from its pole can best be represented by (u=vu=v is the reference line):JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  188. 188The distance between an object and a screen is 100cm100cm. A lens can produce real image of the object on the screen for two different positions between the screen and the object. The distance between these two positions is 40cm40cm. If the power of the lens is close to (N100)D\left(\dfrac{N}{100}\right)D where NN is an integer, the value of NN is _________JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  189. 189A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved surface is 30cm30cm and the refractive index of the lens material is 1.5,1.5, then the focal length of the lens (in cm) is ___________.JEE Main/Numerical/Medium/Lens Formula, Refraction of light from curved surface
  190. 190A thin lens made of glass (refractive index =1.5=1.5 ) of focal length f=16cmf=16cm is immersed in a liquid of refractive index 1.421.42 . If its focal length in liquid is fl{f}_{l} , then the ratio fl/f{f}_{l}/f is closest to the integer:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  191. 191The graph shows how the magnification mm produced by a thin lens varies with image distance vv. The focal length of the lens used is
    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  192. 192One plano-convex and one plano-concave lens of the same radius of curvature RR but of different materials are joined side by side as shown in the figure. If the refractive index of the material of 11 is μ1{\mu }_{1} and that of 22 isμ2{\mu }_{2}, then the focal length of the combination is:

    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  193. 193A convex lens of focal length 20cm20cm produces images of the same magnification 2 when an object is kept at two distances x1{x}_{1} and x2(x1>x2){x}_{2}\left({x}_{1}\gt {x}_{2}\right) from the lens. The ratio of x1{x}_{1} and x2{x}_{2} is:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  194. 194Formation of real image using a biconvex lens is shown below:



    If the whole set up is immersed in water without disturbing the object and the screen positions, what will one observe on the screen?    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  195. 195A plano - convex lens (focal length f2{f}_{2} , refractive index μ2,{\mu }_{2}, radius of curvature R) fits exactly into a plano - concave lens (focal length f1,{f}_{1}, refractive index μ1,{\mu }_{1}, radius of curvature R). Their plane surfaces are parallel to each other. Then, the focal length of the combination will be:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  196. 196What is the position and nature of image formed by lens combination shown in figure? ( f1,f2{f}_{1},{f}_{2} are focal lengths)

    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  197. 197An object is at a distance of 20 m20 \mathrm{~m} from a convex lens of focal length 0.3 m0.3 \mathrm{~m}. The lens forms an image of the object. If the object moves away from the lens at a speed of 5 m/s5 \mathrm{~m} / \mathrm{s} the speed and direction of the image will beJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  198. 198The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of the cornea (7.8mm)(7.8mm). This surface separates two media of refractive indices 11 and 1.341.34. Calculate the distance from the refracting surface at which a parallel beam of light will come to focus.JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  199. 199A plano-convex lens of refractive index μ1{\mu }_{1} and focal length f1{f}_{1} is kept in contact with another plano-concave lens of refractive index μ2{\mu }_{2} and focal length f2.{f}_{2}. If the radius of curvature of their spherical faces is RR each and f1=2f2,{f}_{1}=2{f}_{2}, the μ1{\mu }_{1} and μ2{\mu }_{2} are related as:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  200. 200A convex lens is put 10cm10cm from a light source and it makes a sharp image on a screen, kept 10cm10cm from the lens. Now a glass block (refractive index 1.5) of 1.5cm1.5cm thickness is placed in between the light source and the lens. To get the sharp image again, the screen is shifted by a distance d.d. Then dd is:

    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  201. 201A plano-convex lens becomes an optical system of 28cm28cm focal length when its plane surface is silvered and illuminated from left to right as shown in fig−A-A If the same lens is instead silvered on the curved surface and illuminated from another side as in fig-BB, it acts as an optical system of focal length 10cm10cm. The refractive index of the material of the lens is:

    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  202. 202A diverging lens with magnitude of focal length 25cm25cm is placed at a distance of 15cm15cm from a converging lens of magnitude of focal length 20cm20cm. A beam of parallel light falls on the diverging lens. The final image formed is:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  203. 203A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the mirror is seen :

    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  204. 204A convex lens, of focal length 30 cm, a concave lens of focal length 120 cm, and a plane mirror are arranged as shown. For an object kept at a distance of 60 cm from the convex lens, the final image, formed by the combination, is a real image, at a distance of:

    JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface/With diagram
  205. 205The refractive index of the material of a concave lens is μ\mu. It is immersed in a medium of refractive index μ1\mu_1. A parallel beam of light is incident on the lens. The path of the emergent rays when μ1>μ\mu_1\gt \mu is:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  206. 206A thin convex lens made from crown glass (μ=32)\left(\mu =\dfrac{3}{2}\right) has focal length f⁡f⁡. When it is measured in two different liquids having refractive indices 43\dfrac{4}{3} and 53\dfrac{5}{3}, it has the focal lengths f⁡1{f⁡}_{1} and f⁡2{f⁡}_{2} respectively. The correct relation between the focal lengths is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  207. 207The image of an illuminated square is obtained on a screen with the help of a converging lens. The distance of the square from the lens is 40 cm\mathrm{cm}. The area of the image is 9 times that of the square. The focal length of the lens is :JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  208. 208Diameter of a plano - convex lens is 6cm6cm and thickness at the centre is 3mm3mm. If the speed of light in the material of lens is 2×108ms−12\times 1{0}^{8}m{s}^{-1}, the focal length of the lens is:JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  209. 209An object 2.4 m2.4 \mathrm{~m} in front of a lens forms a sharp image on a film 12 cm12 \mathrm{~cm} behind the lens. A glass plate 1 cm1 \mathrm{~cm} thick, of refractive index 1.501.50 is interposed between lens and film with its plane faces parallel to film. At what distance (from lens) should object be shifted to be in sharp focus on film?JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  210. 210In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance uu and the image distance vv, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of 45∘45^{\circ} with the x-axis meets the experimental curve at PP. The coordinates of PP will beJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  211. 211A student measures the focal length of convex lens by putting an object pin at a distance 'u' from the lens and measuring the distance ' vv ' of the image pin. The graph between ' uu ' and ' vv ' plotted by the student should look likeJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  212. 212A thin glass (refractive index 1.5) lens has optical power of −5D-5 D in air. Its optical power in a liquid medium with refractive index 1.61.6 will beJEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  213. 213A plane convex lens of refractive index 1.51.5 and radius of curvature 30 cm30 \mathrm{~cm} is silvered at the curved surface. Now this lens has been used to form the image of an object. At what distance from this lens an object be placed in order to have a real image of the size of the object?JEE Main/MCQ/Medium/Lens Formula, Refraction of light from curved surface
  214. 214A biconvex lens is formed by using two thin planoconvex lenses, as shown in the figure. The refractive index and radius of curved surfaces are also mentioned in figure. When an object is placed on the left side of lens at a distance of 30 cm from the biconvex lens, the magnification of the image will be :
    JEE Main/MCQ/Medium/Combination of Lens and Mirrors/With diagram
  215. 215A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of f1f_1 in air. Another plano-convex lens with first surface radius of curvature 3 cm has focal length of f2\mathrm{f}_2 when it is immersed in a liquid of refractive index 1.2 . If both the lenses are made of same glass of refractive index 1.5 , the ratio of f1f_1 and f2f_2 will beJEE Main/MCQ/Medium/Combination of Lens and Mirrors
  216. 216A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.2. When the plane side of the lens is silver coated for complete reflection, the lens immersed in the liquid behaves like a concave mirror of focal length 0.2 m . The radius of curvature of the curved surface of the lens isJEE Main/MCQ/Medium/Combination of Lens and Mirrors
  217. 217A symmetric thin biconvex lens is cut into four equal parts by two planes ABA B and CDC D as shown in figure. If the power of original lens is 4 D then the power of a part of the divided lens is

    JEE Main/MCQ/Medium/Combination of Lens and Mirrors/With diagram
  218. 218Two convex lenses of focal length 20cm20cm each are placed coaxially with a separation of 60cm60cm between them. The image of the distant object formed by the combination is at _____ cmcm from the first lens.JEE Main/Numerical/Medium/Combination of Lens and Mirrors
  219. 219An object is placed on the principal axis of convex lens of focal length 10cm10cm as shown. A plane mirror is placed on the other side of lens at a distance of 20cm20cm. The image produced by the plane mirror is 5cm5cm inside the mirror. The distance of the object from the lens is ____ cmcm.
    JEE Main/Numerical/Medium/Combination of Lens and Mirrors/With diagram
  220. 220A convex lens of focal length 20cm20cm is placed in front of convex mirror with principal axis coinciding each other. The distance between the lens and mirror is 10cm10cm. A point object is placed on principal axis at a distance of 60cm60cm from the convex lens. The image formed by combination coincides the object itself. The focal length of the convex mirror is _____ cmcm.JEE Main/Numerical/Medium/Combination of Lens and Mirrors
  221. 221For an object placed at a distance 2.4m2.4m from a lens, a sharp focused image is observed on a screen placed at a distance 12cm12cm from the lens. A glass plate of refractive index 1.51.5 and thickness 1cm1cm is introduced between lens and screen such that the glass plate plane faces parallel to the screen. By what distance should the object be shifted so that a sharp focused image is observed again on the screen?JEE Main/MCQ/Medium/Combination of Lens and Mirrors
  222. 222Two identical thin biconvex lenses of focal length 15cm15cm and refractive index 1.51.5 are in contact with each other. The space between the lenses is filled with a liquid of refractive index 1.251.25. The focal length of the combination is _____ cm.cm.JEE Main/Numerical/Medium/Combination of Lens and Mirrors
  223. 223An object is placed at a distance of 12cm12cm from a convex lens. A convex mirror of focal length 15cm15cm is placed on another side of the lens at 8cm8cm as shown in the figure. The image of the object coincides with the object.

    When the convex mirror is removed, a real and inverted image is formed at a position. The distance of the image from the object will be     ___cm    JEE Main/Numerical/Medium/Combination of Lens and Mirrors/With diagram
  224. 224The thickness at the centre of a plano convex lens is 3mm3mm and the diameter is 6cm.6cm. If the speed of light in the material of the lens is 2×108ms−1.2\times {10}^{8}{ms}^{-1}. The focal length of the lens is ___________.JEE Main/MCQ/Medium/Combination of Lens and Mirrors
  225. 225A thin convex lens LL (refractive index =1.5=1.5 ) is placed on a plane mirror MM. When a pin is placed at AA, such that OA=18cm,OA=18cm, its real inverted image is formed at AA itself, as shown in figure. When liquid of refractive index μl{\mu }_{l} is put between the lens and the mirror, the pin has to be moved to A′,{A}^{'}, such that OA′=27cm,O{A}^{'}=27 cm, to get its inverted real image at A′A' itself. The value of μl{\mu }_{l} will be

    JEE Main/MCQ/Medium/Combination of Lens and Mirrors/With diagram
  226. 226A convex lens (of focal length 20cm20cm ) and a concave mirror, having their principal axes along the same lines, are kept 80cm80cm apart from each other. The concave mirror is to the right of the convex lens. When an object is kept at a distance of 30cm30cm to the left of the convex lens, its image remains at the same position even if the concave mirror is removed. The maximum distance of the object for which this concave mirror, by itself would produce a virtual image would be:JEE Main/MCQ/Medium/Combination of Lens and Mirrors
  227. 227An upright object is placed at a distance of 40cm40cm in front of a convergent lens of focal length 20cm.20cm. A convergent mirror of focal length 10cm10cm is placed at a distance of 60cm60cm on the other side of the lens. The position and size of the final image will be:JEE Main/MCQ/Medium/Combination of Lens and Mirrors
  228. 228A convergent doublet of separated lenses, corrected for spherical aberration, has resultant focal length of 10 cm10 \mathrm{~cm}. The separation between the two lenses is 2 cm2 \mathrm{~cm}. The focal lengths of the component lensesJEE Main/MCQ/Medium/Combination of Lens and Mirrors
  229. 229In an experiment a convex lens of focal length 15cm15cm is placed coaxially on an optical bench in front of a convex mirror at a distance of 5cm5cm from it. It is found that an object and its image coincide, if the object is placed at a distance of 20cm20cm from the lens. The focal length of the convex mirror is-JEE Main/MCQ/Medium/Combination of Lens and Mirrors
  230. 230To find the focal length of a convex mirror, a student records the following data: Object pin Convex Lens Convex Mirror Image Pin 22.2 cm 32.2 cm 45.8 cm 71.2 cm The focal length of the convex lens is f1{f}_{1} and that of mirror is f2{f}_{2} . Then taking index correction to be negligibly small, f1{f}_{1} and f2{f}_{2} are close to:JEE Main/MCQ/Medium/Combination of Lens and Mirrors
  231. 231A thin convex lens of focal length ff is put on a plane mirror as shown in the figure. When an object is kept at a distance aa from the lens-mirror combination, its image is formed at a distance a3\dfrac{a}{3} in front of the combination. The value of aa is:
    JEE Main/MCQ/Medium/Combination of Lens and Mirrors/With diagram
  232. 232Two lenses of power −15 D-15 \mathrm{~D} and +5 D+5 \mathrm{~D} are in contact with each other. The focal length of the combination isJEE Main/MCQ/Medium/Combination of Lens and Mirrors
  233. 233Angle of minimum deviation is equal to the half of the angle of prism in an equilateral prism. The refractive index of the prism is __________.JEE Main/MCQ/Medium/Prism and Dispersion of Light
  234. 234A ray of light passing through an equilateral prism is having velocity 2.12×1082.12 \times 10^8 m/s in the prism material, then the minimum angle of deviation is _________ degrees.JEE Main/MCQ/Medium/Prism and Dispersion of Light
  235. 235For a thin symmetric prism made of glass (refractive index 1.51.5), the ratio of incident angle and minimum deviation will be _______.JEE Main/MCQ/Medium/Prism and Dispersion of Light
  236. 236For a transparent prism, if the angle of minimum deviation is equal to its refracting angle, the refractive index nn of the prism satisfies.JEE Main/MCQ/Medium/Prism and Dispersion of Light
  237. 237The exit surface of a prism with refractive index nn is coated with a material having refractive index n2\frac{n}{2}. When this prism is set for minimum angle of deviation, it exactly meets the condition of critical angle. The prism angle is ____\_\_\_\_.JEE Main/MCQ/Medium/Prism and Dispersion of Light
  238. 238A prism of angle 75∘75^{\circ} and refractive index 3\sqrt{3} is coated with thin film of refractive index 1.5 only at the back exit surface. To have total internal reflection at the back exit surface the incident angle must be ____\_\_\_\_
    (    sin⁡15∘=0.25\sin 15^{\circ}=0.25 and sin⁡25∘=0.43\sin 25^{\circ}=0.43)    JEE Main/MCQ/Medium/Prism and Dispersion of Light
  239. 239A thin prism with angle 5∘5^{\circ} of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion without deviation. The angle of second prism is ____\_\_\_\_.JEE Main/MCQ/Medium/Prism and Dispersion of Light
  240. 240Consider an equilateral prism (refractive index 2\sqrt{2}). A ray of light is incident on its one surface at a certain angle ii. If the emergent ray is found to graze along the other surface then the angle of refraction at the incident surface is close to ____\_\_\_\_.JEE Main/MCQ/Medium/Prism and Dispersion of Light
  241. 241As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes along the second surface.

    If refractive index of the material of prism is     2\sqrt{2}, the angle θ\theta of prism is.    JEE Main/MCQ/Medium/Prism and Dispersion of Light/With diagram
  242. 242Consider following statements for refraction of light through prism, when angle of deviation is minimum.
    (A) The refracted ray inside prism becomes parallel to the base.
    (B) Larger angle prisms provide smaller angle of minimum deviation.
    (C) Angle of incidence and angle of emergence becomes equal.
    (D) There are always two sets of angle of incidence for which deviation will be same except at minimum deviation setting.
    (E) Angle of refraction becomes double of prism angle.
    Choose the correct answer from the options given below.    JEE Main/MCQ/Medium/Prism and Dispersion of Light
  243. 243A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60∘60^{\circ}. The refractive index of the prism material is 2\sqrt{2}. The angle of incidence (in degrees) is ______.JEE Main/Numerical/Medium/Prism and Dispersion of Light
  244. 244A thin prism P1\mathrm{P}_1 with angle 4∘4^{\circ} made of glass having refractive index 1.54 , is combined with another thin prism P2\mathrm{P}_2 made of glass having refractive index 1.72 to get dispersion without deviation. The angle of the prism P2P_2 in degrees isJEE Main/MCQ/Medium/Prism and Dispersion of Light
  245. 245The refractive index of the material of a glass prism is 3\sqrt{3}. The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?JEE Main/MCQ/Medium/Prism and Dispersion of Light
  246. 246The refractive index of prism is μ=3\mu=\sqrt{3} and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _______.JEE Main/Numerical/Medium/Prism and Dispersion of Light
  247. 247Given below are two statements :
    Statement I : When the white light passed through a prism, the red light bends lesser than yellow and violet.
    Statement II : The refractive indices are different for different wavelengths in dispersive medium. In the light of the above statements, chose the correct answer from the options given below:    JEE Main/MCQ/Medium/Prism and Dispersion of Light
  248. 248The refractive index of a prism with apex angle AA is cotA2cot\dfrac{A}{2}. The angle of minimum deviation is :JEE Main/MCQ/Medium/Prism and Dispersion of Light
  249. 249If the refractive index of the material of a prism is cot⁡(A2)\cot \left(\dfrac{A}{2}\right), where AA is the angle of prism then the angle of minimum deviation will beJEE Main/MCQ/Medium/Prism and Dispersion of Light
  250. 250The refractive index of a transparent liquid filled in an equilateral hollow prism is 2\sqrt{2}. The angle of minimum deviation for the liquid will be _______∘^{\circ}.JEE Main/Numerical/Medium/Prism and Dispersion of Light
  251. 251A thin prism P1{P}_{1} with an angle 6∘6^{\circ} and made of glass of refractive index 1.541.54 is combined with another prism P2{P}_{2} made from glass of refractive index 1.721.72 to produce dispersion without average deviation. The angle of prism P2{P}_{2} is :JEE Main/MCQ/Medium/Prism and Dispersion of Light
  252. 252A thin prism of angle 6∘6^{\circ} and refractive index for yellow light (nY)1.5\left({n}_{Y}\right)1.5 is combined with another prism of angle 5∘5^{\circ} and nY=1.55{n}_{Y}=1.55. The combination produces no dispersion. The net average deviation (δ)\left(\delta \right) produced by the combination is (1x)∘{\left(\dfrac{1}{x}\right)}^{^{\circ}}. The value of xx is _____ .
    JEE Main/Numerical/Medium/Prism and Dispersion of Light/With diagram
  253. 253Which of the following statement is correct?JEE Main/MCQ/Medium/Prism and Dispersion of Light
  254. 254The refracting angle of a prism is AA and refractive index of the material of the prism is cot⁡(A2)\cot \left(\dfrac{A}{2}\right). Then the angle of minimum deviation will beJEE Main/MCQ/Medium/Prism and Dispersion of Light
  255. 255Cross-section view of a prism is the equilateral triangle ABCABC shown in the figure. The minimum deviation is observed using this prism when the angle of incidence is equal to the prism angle. The time taken by light to travel from PP (midpoint of BCBC) to AA is ___________ ×10−10s.\times {10}^{-10}s. (Given, speed of light in vacuum =3×108ms−1=3\times {10}^{8}m{s}^{-1} and cos⁡30∘=32\cos 30^{\circ}=\dfrac{\sqrt{3}}{2})
    JEE Main/Numerical/Medium/Prism and Dispersion of Light/With diagram
  256. 256The expected graphical representation of the variation of angle of deviation ' δ\delta ' with angle of incidence 'i' in a prism is :JEE Main/MCQ/Medium/Prism and Dispersion of Light
  257. 257A prism of refractive index n1{n}_{1} and another prism of refractive index n2{n}_{2} are stuck together (as shown in the figure). n1{n}_{1} and n2{n}_{2} depend on λ,\lambda , the wavelength of light, according to the relation n1=1.2+10.8×10−14λ2{n}_{1}=1.2+\dfrac{10.8\times {10}^{-14}}{{\lambda }^{2}} and n2=1.45+1.8×10−14λ2{n}_{2}=1.45+\dfrac{1.8\times {10}^{-14}}{{\lambda }^{2}}
    The wavelength for which rays incident at any angle on the interface     BCBC pass through without bending at that interface will be ____ nm.nm.
    JEE Main/Numerical/Medium/Prism and Dispersion of Light/With diagram
  258. 258A prism of refractive index μ\mu and angle of prism AA is placed in the position of minimum angle of deviation. If minimum angle of deviation is also AA, then in terms of refractive,JEE Main/MCQ/Medium/Prism and Dispersion of Light
  259. 259A ray of light passing through a prism (μ=3)(\mu =\sqrt{3}) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. Then, the angle of prism is (in degrees).JEE Main/Numerical/Medium/Prism and Dispersion of Light
  260. 260A deviation of 2∘2^{\circ} is produced in the yellow ray when prism of crown and flint glass are achromatically combined. Taking dispersive powers of crown and flint glass are 0.020.02 and 0.030.03 respectively and refractive index for yellow light for these glasses are 1.51.5 and 1.61.6 respectively. The refracting angles for crown glass prism will be ________∘^{\circ} (in degree)
    (Round off to the Nearest Integer)    JEE Main/Numerical/Medium/Prism and Dispersion of Light
  261. 261The angle of deviation through a prism is minimum when

    (A) Incident ray and emergent ray are symmetric to the prism
    (B) The refracted ray inside the prism becomes parallel to its base
    (C) Angle of incidence is equal to that of the angle of emergence
    (D) When angle of emergence is double the angle of incidence
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Prism and Dispersion of Light/With diagram
  262. 262A prism of angle A=1∘A=1^{\circ} μ=1.5\mu =1.5. A good estimate for the minimum angle of deviation (in degrees) is close to N10.\dfrac{N}{10}. Value of NN is ………\ldots \ldots \ldotsJEE Main/Numerical/Medium/Prism and Dispersion of Light
  263. 263A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation.

    If the refractive index of the material of the prism is     3\sqrt{3},

    then the angle of incidence is :    JEE Main/MCQ/Medium/Prism and Dispersion of Light
  264. 264The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of the following graphs is the correct one, if DmD_{m} is the angle of minimum deviation?

    JEE Main/MCQ/Medium/Prism and Dispersion of Light/With diagram
  265. 265A ray of light is incident at an angle of 60∘{60}^{^{\circ}} on one face of a prism of angle 30∘{30}^{^{\circ}}. The emergent ray of light makes an angle of 30∘{30}^{^{\circ}} with incident ray. The angle made by the emergent ray with second face of prism will be:JEE Main/MCQ/Medium/Prism and Dispersion of Light
  266. 266In an experiment for determination of refractive index of glass of a prism by ii v/s δ\delta plot, it was found that a ray incident at angle 35o{35}^{o} , suffers a deviation of 40o{40}^{o} and that it emerges at angle 79o{79}^{o} . In that case which of the following is closest to the maximum possible value of the refractive index?JEE Main/MCQ/Medium/Prism and Dispersion of Light
  267. 267Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is μ\mu , a ray, incident at an angle θ\theta , on the face AB would get transmitted through the face AC of the prism provided:

    JEE Main/MCQ/Medium/Prism and Dispersion of Light/With diagram
  268. 268The graph between angle of deviation (δ)\left(\delta \right) and angle of incidence (i)\left(i\right) for a triangular prism is represented by :JEE Main/MCQ/Medium/Prism and Dispersion of Light
  269. 269A beam of light consisting of red, green and blue colours is incident on a right-angled prism on face ABA B. The refractive indices of the material for the above red, green and blue colours are 1.39,1.441.39,1.44 and 1.471.47 respectively. A person looking on surface ACA C of the prism will see
    JEE Main/MCQ/Medium/Prism and Dispersion of Light/With diagram
  270. 270A glass prism of refractive index 1.51.5 is immersed in water (refractive index 43\frac{4}{3} ) as shown in figure. A light beam incident normally on the face ABA B is
     totally reflected to reach the face BC, if \text { totally reflected to reach the face } B C \text {, if }
    JEE Main/MCQ/Medium/Prism and Dispersion of Light/With diagram
  271. 271The refractive index of glass is 1.5201.520 for red light and 1.5251.525 for blue light. Let D1D_1 and D2D_2 be an of minimum deviation for red and blue light respectively in a prism of this glass. ThenJEE Main/MCQ/Medium/Prism and Dispersion of Light
  272. 272A light ray is incident perpendicular to one face of a 90∘90^{\circ} prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45∘45^{\circ}, we conclude that the refractive index nn
    JEE Main/MCQ/Medium/Prism and Dispersion of Light/With diagram
  273. 273A compound microscope is designed with two symmetric biconvex lenses. The objective lens is cut vertically, creating two identical plano-convex lenses. One of them is used in place of original objective lens. To retain same magnification keeping the object distance unchanged, the tube length has to beJEE Main/MCQ/Medium/Optical Instruments
  274. 274In a microscope of tube length 10 cm two convex lenses are arranged with focal length of 2 cm and 5 cm. Total magnification obtained with this system for normal adjustment is (5)k(5)^{k}. The value of kk is ____\_\_\_\_.JEE Main/MCQ/Medium/Optical Instruments
  275. 275In a microscope the objective is having focal length fo=2 cmf_{o}=2 \mathrm{~cm} and eye-piece is having focal length fe=4 cmf_{e}=4 \mathrm{~cm}. The tube length is 32 cm. The magnification produced by this microscope for normal adjustment is ____\_\_\_\_.JEE Main/Numerical/Medium/Optical Instruments
  276. 276In a reflecting telescope, a secondary mirror is used to:JEE Main/MCQ/Medium/Optical Instruments
  277. 277In normal adjustment, for a refracting telescope, the distance between objective and eye piece is 30cm30cm. The focal length of the objective, when the angular magnification of the telescope is 22, will be:JEE Main/MCQ/Medium/Optical Instruments
  278. 278An object viewed from a near point distance of 25cm25cm, using a microscopic lens with magnification 6,6, gives an unresolved image. A resolved image is observed at infinite distance with a total magnification double the earlier using an eyepiece along with the given lens and a tube of length 0.6m0.6m, if the focal length of the eyepiece is equal to ____ cm.cm.JEE Main/Numerical/Medium/Optical Instruments
  279. 279Given below are two statements : one is labeled as Assertion AA and the other is labeled as Reason RR.
    Assertion     AA: For a simple microscope, the angular size of the object equals the angular size of the image.
    Reason     RR: Magnification is achieved as the small object can be kept much closer to the eye than 25cm25cm and hence it subtends a large angle. In the light of the above statements, choose the most appropriate answer from the options given below:    JEE Main/MCQ/Medium/Optical Instruments
  280. 280A compound microscope consists of an objective lens of focal length 1cm1cm and an eye piece of focal length 5cm5cm with a separation of 10cm.10cm. The distance between an object and the objective lens, at which the strain on the eye is minimum is n40cm.\dfrac{n}{40}cm. The value of nn is.......JEE Main/Numerical/Medium/Optical Instruments
  281. 281In a compound microscope, the magnified virtual image is formed at a distance of 25cm25\text{cm} from the eye-piece. The focal length of its objective lens is 1cm1\text{cm}. If the magnification is 100100 and the tube length of the microscope is 20cm20\text{cm}, then the focal length of the eye-piece lens (in cm\text{cm}) is ______JEE Main/Numerical/Medium/Optical Instruments
  282. 282The magnifying power of a telescope with tube length 60cm60cm is 5.5. What is the focal length of its eye piece?JEE Main/MCQ/Medium/Optical Instruments
  283. 283If we need a magnification of 375375 from a compound microscope of tube length 150mm150mm and an objective of focal length 5mm,5mm, the focal length of the eye-piece, should be close to:JEE Main/MCQ/Medium/Optical Instruments
  284. 284An observer looks at a distant tree of height 10m10m with a telescope of magnifying power of 2020. To the observer, the tree appears asJEE Main/MCQ/Medium/Optical Instruments
  285. 285A telescope has an objective lens of focal length 150cm150cm and an eyepiece of focal length 5cm5cm. If a 50m50m tall tower at a distance of 1km1km is observed through this telescope in a normal setting, the angle formed by the image of the tower is θ\theta, then θ\theta is close toJEE Main/MCQ/Medium/Optical Instruments
  286. 286In a compound microscope the focal length of objective lens is 1.2 cm1.2 \mathrm{~cm} and focal length of eye piece is 3.0 cm3.0 \mathrm{~cm}. When object is kept at 1.25 cm1.25 \mathrm{~cm} in front of objective, final image is formed at infinity. Magnifying power of the compound microscope should be:JEE Main/MCQ/Medium/Optical Instruments
  287. 287An object is located in a fixed position in front of a screen. Sharp image is obtained on the screen for two positions of a thin lens separated by 10 cm\mathrm{cm}. The size of the images in two situations are in the ratio 3:33: 3. What is the distance between the screen and the object?JEE Main/MCQ/Medium/Optical Instruments
  288. 288The focal lengths of objective lens and eye lens of a Galilean Telescope are respectively 30 cm and 3.0 cm. Telescope produces virtual, erect image of an object situated far away from it at least distance of distinct vision from the eye lens. In this condition the Magnifying Power of the Galilean Telescope should be :JEE Main/MCQ/Medium/Optical Instruments
  289. 289This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
    Statement 1: Very large size telescopes are reflecting telescopes instead of refracting telescopes.
    Statement 2: It is easier to provide mechanical support to large size mirrors than large size lenses.    JEE Main/MCQ/Medium/Optical Instruments
  290. 290The focal length of the objective and the eyepiece of a telescope are 50 cm50 \mathrm{~cm} and 5 cm5 \mathrm{~cm} respectively. If the telescope is focussed for distinct vision on a scale distant 2 m2 \mathrm{~m} from its objective, then its magnifying power will be :JEE Main/MCQ/Medium/Optical Instruments
  291. 291We wish to make a microscope with the help of two positive lenses both with a focal length of 20 mm\mathrm{mm} each and the object is positioned 25 mm25 \mathrm{~mm} from the objective lens. How far apart the lenses should be so that the final image is formed at infinity?JEE Main/MCQ/Medium/Optical Instruments
  292. 292An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distance are measured byJEE Main/MCQ/Medium/Optical Instruments
  293. 293The image formed by an objective of a compound microscope isJEE Main/MCQ/Medium/Optical Instruments
  294. 294A thin convex lens of focal length 5 cm and a thin concave lens of focal length 4 cm are combined together (without any gap) and this combination has magnification m1m_{1} when an object is placed 10 cm before the convex lens. Keeping the positions of convex lens and object undisturbed a gap of 1 cm is introduced between the lenses by moving the concave lens away, which lead to a change in magnification of total lens system to m2m_{2}. The value of ∣m1m2∣\left|\frac{m_{1}}{m_{2}}\right| is ____\_\_\_\_.JEE Main/MCQ/Medium/Lens Formula
  295. 295Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to her as nonuniform and distorted. The doctor diagnosed the problem as :JEE Main/MCQ/Medium/Human eye

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