Physics · JEE Main, NEET, Olympiad (NSEP)

Wave Optics

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

141MCQ50Numerical19With diagram
Start with question 1 See it move: Wave optics: YDSE, diffraction and polarisation
  1. 1In a YDSE, if the distance between slits is halved and distance between screen and slits is doubled, fringe width becomes:JEE Main/MCQ/Medium
  2. 2In Young's double slit experiment, if monochromatic light is replaced by white light, the central fringe is:NEET/MCQ/Medium
  3. 3In a Lloyd's mirror experiment, light reflected from a glass mirror interferes with direct light from a slit. The central fringe closest to the mirror surface is:Olympiad (NSEP)/MCQ/Hard
  4. 4A monochromatic light of frequency 5×1014 Hz5 \times 10^{14} \mathrm{~Hz} travelling through air, is incident on a medium of refractive index ' 2 '. Wavelength of the refracted light will be :JEE Main/MCQ/Medium/Wave Theory and Wavefronts
  5. 5A light wave is propagating with plane wave fronts of the type x+y+z=x+y+z= constant. The angle made by the direction of wave propagation with the xx-axis is:JEE Main/MCQ/Medium/Wave Theory and Wavefronts
  6. 6Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront of the light is :JEE Main/MCQ/Medium/Wave Theory and Wavefronts
  7. 7On a hot summer night, the refractive index of air is the smallest near the ground and increases with a height from the ground. When a light beam is directed horizontally, the Huygens' principle leads us to conclude that as it travels, the light beam,JEE Main/MCQ/Medium/Wave Theory and Wavefronts
  8. 8Two coherent point sources S1{S}_{1} and S2{S}_{2} are separated by a small distance dd as shown in the figure. The fringes obtained on the screen will be
    JEE Main/MCQ/Medium/Wave Theory and Wavefronts/With diagram
  9. 9In interference experiment the path difference between two interfering waves at a point AA on the screen is λ/3\lambda/3, where λ\lambda is the wavelength of these waves, and at another point BB the path difference is λ/6\lambda/6. The ratio of intensities at points AA and BB is _______.JEE Main/MCQ/Medium/Interference of Light
  10. 10Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities in the resulting interference pattern is xI. The value of xx is ______.JEE Main/Numerical/Medium/Interference of Light
  11. 11The ratio of the power of a light source S1S_1 to that the light source S2S_2 is 2.S12 . S_1 is emitting 2×10152 \times 10^{15} photons per second at 600 nm . If the wavelength of the source S2S_2 is 300 nm , then the number of photons per second emitted by S2S_2 is ……\ldots\ldots ×1014\times 10^{14}.JEE Main/Numerical/Medium/Interference of Light
  12. 12Young's double slit inteference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm . The slits are illuminated by a parallel beam of light whose wavelength in air is 690 nm . The fringe-width on a screen placed behind the plane of slits at a distance of 0.72 m , will be :JEE Main/MCQ/Medium/Interference of Light
  13. 13Two coherent monochromatic light beams of intensities I and 4I4 \mathrm{I} are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is xIx \mathrm{I}. The value of xx is _________.JEE Main/Numerical/Medium/Interference of Light
  14. 14Two waves of intensity ratio 1:91:9 cross each other at a point. The resultant intensities at the point, when (a) Waves are incoherent is I1(b){I}_{1}\left(b\right) Waves are coherent is I2{I}_{2} and differ in phase by 60o{60}^{o}. If I1I2=10x\dfrac{{I}_{1}}{{I}_{2}}=\dfrac{10}{x}, then x=x= _________.JEE Main/Numerical/Medium/Interference of Light
  15. 15A beam of light consisting of two wavelengths 7000Ao7000A^{o} and 5500Ao5500A^{o} is used to obtain interference pattern in Young's double slit experiment. The distance between the slits is 2.5mm2.5mm and the distance between the plane of slits and the screen is 150cm150cm. The least distance from the central fringe, where the bright fringes due to both the wavelengths coincide, is n×10–5mn\times {10}^{–5}m. The value of nn is _____.JEE Main/Numerical/Medium/Interference of Light
  16. 16The interference pattern is obtained with two coherent light sources of intensity ratio 4:14:1. And the ratio Imax⁡+Imin⁡Imax⁡−Imin⁡\dfrac{{I}_{\max }+{I}_{\min }}{{I}_{\max }-{I}_{\min }} is 5x\dfrac{5}{x}. Then, the value of xx will be equal to :JEE Main/MCQ/Medium/Interference of Light
  17. 17Two coherent light sources having intensity in the ratio 2x2x produce an interference pattern. The ratio Imax⁡−Imin⁡Imax⁡+Imin⁡\dfrac{{I}_{\max }-{I}_{\min }}{{I}_{\max }+{I}_{\min }} will beJEE Main/MCQ/Medium/Interference of Light
  18. 18In the figure below, PP and QQ are two equally intense coherent sources emitting radiation of wavelength 20m.20m. The separation between PP and QQ is 5m5m and the phase of PP is ahead of that of QQ by 90∘.A,B90^{\circ}.A,B and C are three distinct point of observation, each equidistant from the midpoint of PQ. The intensities of radiation at A,B,CA,B,C will be in the ratio :
    JEE Main/MCQ/Medium/Interference of Light/With diagram
  19. 19Two coherent sources of sound, S1{S}_{1} and S2,{S}_{2}, produce sound waves of the same wavelength λ=1m\lambda =1m are in phase. S1{S}_{1} and S2{S}_{2} are placed 1.5m1.5m apart (see fig). A listener, located at LL, directly in front of S2{S}_{2}, finds that the intensity is at a minimum when he is 2m2m away from S2{S}_{2}. The listener moves away from S1{S}_{1}, keeping the distance from S2{S}_{2} fixed. The adjacent maximum of intensity is observed when the listener is at a distance dd from S1{S}_{1}. Then dd is :
    JEE Main/MCQ/Medium/Interference of Light/With diagram
  20. 20Interference fringes are observed on a screen by illuminating two thin slits 1mm1mm apart with a light source (λ=632.8nm)\left(\lambda =632.8nm\right). The distance between the screen and the slits is 100cm100cm. If a bright fringe is observed on a screen at distance of 1.27mm1.27mm from the central bright fringe, then the path difference between the waves, which are reaching this point from the slits is close to :JEE Main/MCQ/Medium/Interference of Light
  21. 21In an interference experiment the ratio of amplitudes of coherent waves is a1a2=13\dfrac{{a}_{1}}{{a}_{2}}=\dfrac{1}{3} . The ratio of maximum and minimum intensities of fringes will be:JEE Main/MCQ/Medium/Interference of Light
  22. 22Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16.16. The intensity of the waves are in the ratio:JEE Main/MCQ/Medium/Interference of Light
  23. 23Interference pattern is observed at ' P\mathrm{P} ' due to superimposition of two rays coming out from a source ' SS ' as shown in the figure. The value of ' l\mathrm{l} ' for which maxima is obtained at ' P\mathrm{P} ' is:
    (     R\mathrm{R} is perfect reflecting surface)
    JEE Main/MCQ/Medium/Interference of Light/With diagram
  24. 24Two monochromatic light beams of intensity 16 and 9 units are interfering. The ratio of intensities of bright and dark parts of the resultant pattern is:JEE Main/MCQ/Medium/Interference of Light
  25. 25nn identical waves each of intensity I0I_0 interfere with each other. The ratio of maximum intensities if the interference is (i) coherent and (ii) incoherent is :JEE Main/MCQ/Medium/Interference of Light
  26. 26Two coherent plane light waves of equal amplitude makes a small angle α(<<1)\alpha(\lt \lt 1) with each other. They fall almost normally on a screen. If λ\lambda is the wavelength of light waves, the fringe width Δx\Delta x of interference patterns of the two sets of waves on the screen isJEE Main/MCQ/Medium/Interference of Light
  27. 27Direction:
    The question has a paragraph followed by two statements, Statement     −1-1 and statement −2-2. Of the given four alternatives after the statements, choose the one that describes the statements.
    A thin air film is formed by putting the convex surface of a plane - convex lens over a plane glass plate. With monochromatic light, this film gives an interference pattern due to light reflected from the top (convex) surface and the bottom (glass plate) surface of the film.
    Statement-1 : When light reflects from the air-glass plate interface, the reflected wave suffers a phase change of     π\pi.
    Statement-2 : The centre of the interference pattern is dark.    JEE Main/MCQ/Medium/Interference of Light
  28. 28To demonstrate the phenomenon of interference, we require two sources which emit radiationJEE Main/MCQ/Medium/Interference of Light
  29. 29In Young's double slit experiment, the fringe width of the interference pattern produced on the screen is 2.42.4 μ\mum. If the experiment is carried out in another medium having refractive index 1.21.2, the fringe width will be _____ μ\mum.JEE Main/MCQ/Medium/Young's Double Slit Experiment
  30. 30In a Young double slit experiment, the wavelength of incident light is 60006000 Å, the separation between slits S1S_1 and S2S_2 is 55 cm and the distance between slits plane and screen is 5050 cm, as shown in the figure below. If the resultant intensity at PP is equal to the intensity due to individual slits, the path difference between interfering waves is __________ Å.
    JEE Main/MCQ/Medium/Youngs Double Slit Experiment/With diagram
  31. 31The maximum intensity in a Young's double slit experiment is I0I_0. Distance between the slits (dd) is 5λ5\lambda, where λ\lambda is the wavelength of light used. The intensity of the fringe, exactly opposite to one of the slits on the screen, placed at D=10dD = 10d is _______.JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  32. 32In a double slit experiment, when one of the slits is covered by a transparent mica sheet of refractive index 1.561.56, the central fringe shifts to the position of 7th7^{th} bright fringe, obtained with both slits uncovered. If the light source wavelength is 450450 nm, the thickness of mica sheet is α×10−9\alpha \times 10^{-9} m. The value of α\alpha is ______.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  33. 33In a Young's double slit experiment, the intensity at some point on the screen is found to be 34\dfrac{3}{4} times of the maximum of the interference pattern. The path difference between the interfering waves at this point is λx\dfrac{\lambda}{x} where λ\lambda is wavelength of the incident light. The value of xx is _______.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  34. 34A beam of light consisting of wavelengths 650 nm and 550 nm illuminates the Young's double slits with separation of 2 mm such that the interference fringes are formed on a screen, placed at a distance of 1.2 m from the slits. The least distance of a point from the central maximum, where the bright fringes due to both the wavelengths coincide, is ____\_\_\_\_ ×10−5 m\times 10^{-5} \mathrm{~m}.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  35. 35In the Young's double slit experiment the intensity produced by each one of the individual slits is I0I_{0}. The distance between two slits is 2 mm. The distance of screen from slits is 10 m. The wavelength of light is 6000 A∘6000 \mathrm{~A}^{\circ}. The intensity of light on the screen in front of one of the slits is ____\_\_\_\_.JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  36. 36In two separate Young's double-slit experimental set-ups and two monochromatic light sources of different wavelengths are used to get fringes of equal width. The ratios of the slits separations and that of the wavelengths of light used are 2:12: 1 and 1:21: 2 respectively. The corresponding ratio of the distances between the slits and the respective screens (D1/D2D_{1} / D_{2}) is ____\_\_\_\_.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  37. 37In a Young's double slit experiment set up, the two slits are kept 0.4 mm apart and screen is placed at 1 m from slits. If a thin transparent sheet of thickness 20μ m20 \mu \mathrm{~m} is introduced in front of one of the slits then center bright fringe shifts by 20 mm on the screen. The refractive index of transparent sheet is given by α10\frac{\alpha}{10}, where α\alpha is ____\_\_\_\_.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  38. 38Given below are two statements :
    Statement I : In a Young's double slit experiment, the angular separation of fringes will increase as the screen is moved away from the plane of the slits
    Statement II: In a Young's double slit experiment, the angular separation of fringes will increase when monochromatic source is replaced by another monochromatic source of higher wavelength.

    In the light of the above statements, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  39. 39In a double slit experiment the distance between the slits is 0.1 cm and the screen is placed at 50 cm from the slits plane. When one slit is covered with a transparent sheet having thickness tt and refractive index n(=1.5)n(=1.5), the central fringe shifts by 0.2 cm. The value of tt is ____\_\_\_\_ cm.JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  40. 40In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter and another by a green filter. In this caseJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  41. 41In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm. If the 20 maxima of the double slit pattern are contained within the centre maximum of the single slit diffraction pattern, then the width of each slit is x×10−3 cm\mathrm{x} \times 10^{-3} \mathrm{~cm}, where x -value is ________JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  42. 42In a Young's double slit experiment, the slits are separated by 0.2 mm. If the slits separation is increased to 0.4 mm , the percentage change of the fringe width is:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  43. 43Width of one of the two slits in a Young's double slit interference experiment is half of the other slit. The ratio of the maximum to the minimum intensity in the interference pattern is :JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  44. 44Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum isJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  45. 45If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is 30∘30^{\circ} in a single slit diffraction pattern recorded using 628 nm light, then the width of the slit is _______ μm\mu \mathrm{m}.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  46. 46A double slit interference experiment performed with a light of wavelength 600 nm forms an interference fringe pattern on a screen with 10 th bright fringe having its centre at a distance of 10 mm from the central maximum. Distance of the centre of the same 10th bright fringe from the central maximum when the source of light is replaced by another source of wavelength 660 nm would be _________ mm .JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  47. 47The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least number of the bright fringes of 480 nm light that are required for the first coincidence with the bright fringes formed by 600 nm light isJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  48. 48The width of one of the two slits in Young's double slit experiment is d while that of the other slit is x dx \mathrm{~d}. If the ratio of the maximum to the minimum intensity in the interference pattern on the screen is 9:49: 4 then what is the value of xx ?
    (Assume that the field strength varies according to the slit width.)    JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  49. 49Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
    Assertion (A) : In Young's double slit experiment, the fringes produced by red light are closer as compared to those produced by blue light.
    Reason (R): The fringe width is directly proportional to the wavelength of light.
    In the light of the above statements, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  50. 50Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
    Assertion-(A) : If Young's double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer.
    Reason-(R) : The speed of light reduces in an optically denser medium than air while its frequency does not change.
    In the light of the above statements, choose the most appropriate answer from the options given below :    JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  51. 51Monochromatic light of wavelength 500 nm500 \mathrm{~nm} is used in Young's double slit experiment. An interference pattern is obtained on a screen. When one of the slits is covered with a very thin glass plate (refractive index =1.5=1.5 ), the central maximum is shifted to a position previously occupied by the 4th 4^{\text {th }} bright fringe. The thickness of the glass-plate is ______ μm\mu \mathrm{m}.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  52. 52In a Young's double slit experiment, the intensity at a point is (14)th \left(\frac{1}{4}\right)^{\text {th }} of the maximum intensity, the minimum distance of the point from the central maximum is ________ μm\mu \mathrm{m}.
    (Given :     λ=600 nm, d=1.0 mm,D=1.0 m\lambda=600 \mathrm{~nm}, \mathrm{~d}=1.0 \mathrm{~mm}, \mathrm{D}=1.0 \mathrm{~m} )    JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  53. 53Two slits are 1 mm1 \mathrm{~mm} apart and the screen is located 1 m1 \mathrm{~m} away from the slits. A light of wavelength 500 nm500 \mathrm{~nm} is used. The width of each slit to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern is _____×10−4 m\times 10^{-4} \mathrm{~m}JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  54. 54In a single slit experiment, a parallel beam of green light of wavelength 550 nm550 \mathrm{~nm} passes through a slit of width 0.20 mm0.20 \mathrm{~mm}. The transmitted light is collected on a screen 100 cm100 \mathrm{~cm} away. The distance of first order minima from the central maximum will be x×10−5 mx \times 10^{-5} \mathrm{~m}. The value of xx is :JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  55. 55In Young's double slit experiment, carried out with light of wavelength 5000A˚5000 \AA, the distance between the slits is 0.3 mm0.3 \mathrm{~mm} and the screen is at 200 cm200 \mathrm{~cm} from the slits. The central maximum is at x=0 cmx=0 \mathrm{~cm}. The value of xx for third maxima is _____mm\mathrm{mm}.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  56. 56The width of one of the two slits in a Young's double slit experiment is 4 times that of the other slit. The ratio of the maximum of the minimum intensity in the interference pattern is:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  57. 57Two wavelengths λ1\lambda_1 and λ2\lambda_2 are used in Young's double slit experiment. λ1=450 nm\lambda_1=450 \mathrm{~nm} and λ2=650 nm\lambda_2=650 \mathrm{~nm}. The minimum order of fringe produced by λ2\lambda_2 which overlaps with the fringe produced by λ1\lambda_1 is nn. The value of nn is _____.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  58. 58In Young's double slit experiment, monochromatic light of wavelength 5000A∘5000A^{^{\circ}} is used. The slits are 1.0mm1.0mm apart and screen is placed at 1.0m1.0m away from slits. The distance from the centre of the screen where intensity becomes half of the maximum intensity for the first time is ______×10−6m.\times {10}^{-6}m.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  59. 59In Young's double slit experiment, light from two identical sources are superimposing on a screen. The path difference between the two lights reaching at a point on the screen is 7λ4\dfrac{7\lambda }{4}. The ratio of intensity of fringe at this point with respect to the maximum intensity of the fringe is:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  60. 60In a double slit experiment shown in figure, when light of wavelength 400nm400nm is used, dark fringe is observed at PP. If D=0.2mD=0.2m, the minimum distance between the slits S1{S}_{1} and S2{S}_{2} is αmm\alpha mm. Write the value of 10α10\alpha to the nearest integer.JEE Main/Numerical/Medium/Youngs Double Slit Experiment/With diagram
  61. 61A single slit of width aa is illuminated by a monochromatic light of wavelength 600nm600nm. The value of aa for which first minimum appears at θ=30o\theta ={30}^{o} on the screen will be :JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  62. 62In a Young’s double slit experiment, the ratio of amplitude of light coming from slits is 2:12:1. The ratio of the maximum to minimum intensity in the interference pattern isJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  63. 63The ratio of intensities at two points PP and QQ on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are π3\dfrac{\pi }{3} and π2\dfrac{\pi }{2}, respectively areJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  64. 64The width of fringe is 2mm2mm on the screen in a double slit experiment for the light of wavelength of 400nm400nm. The width of the fringe for the light of wavelength 600nm600nm will be:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  65. 65As shown in the figure, in Young's double slit experiment, a thin plate of thickness t=10μmt=10\mu m and refractive index μ=1.2\mu =1.2 is inserted infront of slit S1{S}_{1}. The experiment is conducted in air (μ=1\mu =1) and uses a monochromatic light of wavelength λ=500nm\lambda =500nm. Due to the insertion of the plate, central maxima is shifted by a distance of xβ0x{\beta }_{0}. β0{\beta }_{0} is the fringe-width before the insertion of the plate. The value of the xx is ______.
    JEE Main/Numerical/Medium/Youngs Double Slit Experiment/With diagram
  66. 66Two light waves of wavelengths 800800 and 600nm600nm are used in Young's double slit experiment to obtain interference fringes on a screen placed 7m7m away from plane of slits. If the two slits are separated by 0.35mm0.35mm, then shortest distance from the central bright maximum to the point where the bright fringes of the two wavelength coincide will be ______ mmmm.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  67. 67In a Young’s double slit experiment, the intensities at two points, for the path difference λ4\dfrac{\lambda }{4} and λ3\dfrac{\lambda }{3} (λ\lambda being the wavelength of light used) are I1{I}_{1} and I2{I}_{2} respectively. If I0{I}_{0} denotes the intensity produced by each one of the individual slits, then \dfrac{{I}_{1}+{I}_{2}}{{I}_{0}}=______.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  68. 68In Young’s double slit experiment, two slits S1{S}_{1} and S2{S}_{2} are dd distance apart and the separation from slits to screen is DD (as shown in figure). Now if two transparent slabs of equal thickness 0.1mm0.1mm but refractive index 1.511.51 and 1.551.55 are introduced in the path of beam (λ=4000A˚)\left(\lambda =4000Å\right) from S1{S}_{1} and S2{S}_{2} respectively. The central bright fringe spot will shift by ________ number of fringes.
    JEE Main/Numerical/Medium/Youngs Double Slit Experiment/With diagram
  69. 69In a Young’s double slit experiment, two slits are illuminated with a light of wavelength 800nm800nm. The line joining A1P{A}_{1}P is perpendicular to A1A2{A}_{1}{A}_{2} as shown in the figure. If the first minimum is detected at PP, the value of slits separation aa will be :

    The distance of screen from slits     D=5cmD=5cm.    JEE Main/MCQ/Medium/Youngs Double Slit Experiment/With diagram
  70. 70In Young's double slits experiment, the position of 5th bright fringe from the central maximum is 5cm5cm. The distance between slits and screen is 1m1m and wavelength of used monochromatic light is 600nm600nm. The separation between the slits is:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  71. 71In a Young's double slit experiment, a laser light of 560nm560nm produces an interference pattern with consecutive bright fringes' separation of 7.2mm7.2mm. Now another light is used to produce an interference pattern with consecutive bright fringes' separation of 8.1mm8.1mm. The wavelength of second light is _____ nm.nm.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  72. 72Two coherent sources of light interfere. The intensity ratio of two sources is 1:41:4. For this interference pattern if the value of Imax⁡+Imin⁡Imax⁡−Imin⁡\dfrac{{I}_{\max }+{I}_{\min }}{{I}_{\max }-{I}_{\min }} is equal to 2α+1β+3\dfrac{2\alpha +1}{\beta +3}, then αβ\dfrac{\alpha }{\beta } will beJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  73. 73Two beams of light having intensities II and 4I4I interfere to produce a fringe pattern on a screen. The phase difference between the two beams are π2\dfrac{\pi }{2} and π3\dfrac{\pi }{3} at points AA and BB respectively. The difference between the resultant intensities at the two points is xIxI. The value of xx will be _____ .JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  74. 74In young's double slit experiment, the fringe width is 12mm12mm. If the entire arrangement is placed in water of refractive index 43\dfrac{4}{3}, then the fringe width becomes (in mmmm)JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  75. 75In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the plane of slits. If the screen is moved by 5×10−2m5\times {10}^{-2}m towards the slits, the change in fringe width is 3×10−3cm3\times {10}^{-3}cm. If the distance between the slits is 1mm1mm, then the wavelength of the light will be____nmnm.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  76. 76Using Young's double slit experiment, a monochromatic light of wavelength 5000Å5000Å produces fringes of fringe width 0.5mm0.5mm. If another monochromatic light of wavelength 6000Å6000Å is used and the separation between the slits is doubled, then the new fringe width will beJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  77. 77In a Young's double slit experiment, an angular width of the fringe is 0.35∘0.35^{\circ} on a screen placed at 2m2m away for particular wavelength of 450nm450nm. The angular width of the fringe, when whole system is immersed in a medium of refractive index 75\dfrac{7}{5}, is 1α\dfrac{1}{\alpha }. The value of α\alpha is _____ .JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  78. 78In young's double slit experiment performed using a monochromatic light of wavelength λ\lambda, when a glass plate (μ=1.5)\left(\mu =1.5\right) of thickness xλx\lambda is introduced in the path of the one of the interfering beams, the intensity at the position where the central maximum occurred previously remains unchanged. The value of xx will beJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  79. 79In Young's double slit experiment the two slits are 0.6mm0.6mm distance apart. Interference pattern is observed on a screen at a distance 80cm80cm from the slits. The first dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light will be _____ nmnm.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  80. 80The two light beams having intensities II and 9I9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π2\dfrac{\pi }{2} at point PP and π\pi at point QQ. Then the difference between the resultant intensities at PP and QQ will be :JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  81. 81Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 11 hour and 88 hours respectively. The radius of the orbit of nearer satellite is 2×103km.2\times {10}^{3}km. The angular speed of the farther satellite as observed from the nearer satellite at the instant when both the satellites are closest is πxradh−1\dfrac{\pi }{x}rad{h}^{-1}, where xx is _______.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  82. 82In a Young's double slit experiment, the slits are separated by 0.3mm0.3mm and the screen is 1.5m1.5m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright fringe is 2.4cm.2.4cm. The frequency of light used is x×1014Hz.x\times {10}^{14}Hz.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  83. 83The light waves from two coherent sources have same intensity I1=I2=I0.{I}_{1}={I}_{2}={I}_{0}. In interference pattern the intensity of light at minima is zero. What will be the intensity of light at maxima?JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  84. 84White light is passed through a double slit and interference is observed on a screen 1.5m1.5m away. The separation between the slits is 0.3mm0.3mm. The first violet and red fringes are formed 2.0mm2.0mm and 3.5mm3.5mm away from the central white fringes. The difference in wavelengths of red and violet light is (innm).\left(\text{in}nm\right).JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  85. 85In Young's double slit experiment, if the source of light changes from orange to blue then:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  86. 86In the Young's double slit experiment, the distance between the slits varies in time as d(t)=d0+a0sin⁡ωtd\left(t\right)={d}_{0}+{a}_{0}\sin \omega t; where d0,ω{d}_{0},\omega and a0{a}_{0} are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  87. 87In Young's double slit arrangement, slits are separated by a gap of 0.5mm0.5mm, and the screen is placed at a distance of 0.5m0.5m from them. The distance between the first and the third bright fringe formed when the slits are illuminated by a monochromatic light of 5890Ao5890A^{o} is :-JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  88. 88A fringe width of 6mm6mm was produced for two slits separated by 1mm1mm apart. The screen is placed 10m10m away. The wavelength of light used is xx nmnm. The value of xx to the nearest integer is ______.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  89. 89In a Young's double slit experiment two slits are separated by 2mm2mm and the screen is placed one meter away. When a light of wavelength 500nm500nm is used, the fringe separation will be :JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  90. 90If the source of light used in a Young's double slit experiment is changed from red to violet:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  91. 91In a Young's double slit experiment, the width of the one of the slit is three times the other slit. The amplitude of the light coming from a slit is proportional to the slit-width. Find the ratio of the maximum to the minimum intensity in the interference pattern.JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  92. 92A Young's double-slit experiment is performed using monochromatic light of wavelength λ\lambda. The intensity of light at a point on the screen, where the path difference is λ\lambda, is KK units. The intensity of light at a point where the path difference is λ6\dfrac{\lambda }{6} is given by nK12\dfrac{nK}{12}, where nn is an integer. The value of nn isJEE Main/Numerical/Medium/Youngs Double Slit Experiment
  93. 93In a Young's double slit experiment, light of 500nm500nm is used to produce and interference pattern. When the distance between the slits is 0.05mm,0.05mm, the angular width (in degree) of the fringes formed on the distance screen is close to :JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  94. 94In a Young's double slit experiment,1616 fringes are observed in a certain segment of the screen when light of wavelength 700nm700nm is used. If the wavelength of light is changed to 400nm400nm, the number of fringes observed in the same segment of the screen would be :JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  95. 95In a Young's double slit experiment 1515 fringes are observed on a small portion of the screen when light of wavelength 500nm500nm is used. Ten fringes are observed on the same section of the screen when another light source of wavelength λ\lambda is used. Then the value of λ\lambda is (in nmnm ) __________.JEE Main/Numerical/Medium/Youngs Double Slit Experiment
  96. 96In a double – slit experiment, at a certain point on the screen the path difference between the two interfering waves is 18th\dfrac{1}{8}th of a wavelength. The ratio of the intensity of light at that point to that at the center of a bright fringe is:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  97. 97In a Young’s double slit experiment, the separation between the slits is 0.15mm0.15mm . In the experiment, a source of light of wavelength 589nm589nm is used and the interference pattern is observed on a screen kept 1.5m1.5m away. The separation between the successive bright fringes on the screen is:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  98. 98In a double slit experiment, when a thin film of thickness tt having refractive index μ\mu is introuduced in front of one of the slits, the maximum at the centre of the fringe pattern shifts by one fringe width. The value of tt is (λ(\lambda is the wavelength of the light used):JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  99. 99In a Young's double-slit experiment, the ratio of the slit's width is 4:14:1 . The ratio of the intensity of maxima to minima, close to the central fringe on the screen, will beJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  100. 100The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ\mu is put in front of one of the slits, the central maximum gets shifted by a distance equal to n fringe width. If the wavelength of light used is λ\lambda then tt will be:
    JEE Main/MCQ/Medium/Youngs Double Slit Experiment/With diagram
  101. 101In a Young's double slit experiment, the path difference, at a certain point on the screen, betwen two interfering waves is 18\frac{1}{8} th of wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe is close to:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  102. 102Consider a Young's double slit experiment as shown in figure. What should be the slit separation dd in terms of wavelength λ\lambda such that the first minima occurs directly in front of the slit (S1)({S}_{1}) ?

    JEE Main/MCQ/Medium/Youngs Double Slit Experiment/With diagram
  103. 103In a Young's double slit experiment slit separation 0.1mm,0.1mm, one observes a bright fringe at angle 140rad\dfrac{1}{40}rad by using light of wavelength λ1.{\lambda }_{1}. When the light of wavelength λ2{\lambda }_{2} is used a bright fringe is seen at the same angle in the same set up. Given that λ1{\lambda }_{1} and λ2{\lambda }_{2} are in visible range (380nmto740nm),\left(380nmto740nm\right), their values are:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  104. 104In a young's double slit experiment, the slits are placed 0.320mm0.320mm apart. Light of wavelength λ=500nm\lambda =500nm is incident on the slits. The total number of bright fringes that are observed in the angular range −30o≤θ≤30o-{30}^{o}\leq \theta \leq {30}^{o} is:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  105. 105Light of wavelength 550nm550nm falls normally on a slit of width 22.0×10−5cm22.0\times {10}^{-5}cm. The angular position of the second minima from the central maximum will be (in radians):JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  106. 106In a Young's double slit experiment, slits are separated by 0.5mm0.5mm, and the screen is placed 150cm150cm away. A beam of light consisting of two wavelengths, 650nm650nm and 520nm520nm, is used to obtain interference fringes on the screen. The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  107. 107In Young's double-slit experiment, the distance between slits and the screen is 1m1m and monochromatic light of wavelength 600nm600nm is being used. A person standing near the slits is looking at the fringe pattern. When the separation between the slits is varied, the interference pattern disappears for a particular distance d0{d}_{0} between the slits. If the angular resolution of the eye is 160∘\dfrac{1}{60}^{\circ}, then the value of d0{d}_{0} is close toJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  108. 108In a Young's double slit experiment with light of wavelength λ,\lambda , the separation of slits is dd and distance of screen is DD such that D≫d≫λD≫d≫\lambda . If the Fringe width is β\beta , the distance from point of maximum intensity to the point where intensity falls to half of the maximum intensity on either side is:JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  109. 109In Young’s double-slit experiment, the distance between the two identical slits is6.16.1 times larger than the slit width. Then the number of intensity maxima observed within the central maximum of the single-slit diffraction pattern is :JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  110. 110Using monochromatic light of wavelength λ\lambda, an experimentalist sets up the Young's double slit experiment in three ways as shown.
    If she observes that     y⁡=β′y⁡={\beta }^{'}, the wavelength of light used is :

         JEE Main/MCQ/Medium/Youngs Double Slit Experiment/With diagram
  111. 111This 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: In Young's double slit experiment, the number of fringes observed in the field of view is small with longer wavelength of light and is large with shorter wavelength of light.
    Statement-2: In the double slit experiment the fringe width depends directly on the wavelength of light.    JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  112. 112In Young's double slit interference experiment, the slit widths are in the ratio 1:251: 25. Then the ratio of intensity at the maxima and minima in the interference pattern isJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  113. 113The maximum number of possible interference maxima for slit separation equal to 1.8λ1.8 \lambda, where λ\lambda is the wavelength of light used, in a Young's double slit experiment isJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  114. 114In a Young's double slit experiment with light of wavelength λ\lambda, fringe pattern on the screen has fringe width β\beta. When two thin transparent glass (refractive index μ\mu ) plates of thickness t1t_1 and t2t_2 (t1>t2)\left(t_1\gt t_2\right) are placed in the path of the two beams respectively, the fringe pattern will shift by a distanceJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  115. 115In Young's double slit experiment, one of the slit is wider than other, so that the amplitude of the light from one slit is double of that from other slit. If ImI_m be the maximum intensity, the resultant intensity I when they interfere at phase difference ϕ\phi is given byJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  116. 116A mixture of light, consisting of wavelength 590 nm590 \mathrm{~nm} and an unknown wavelength, illuminates Young's double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both lights coincide. Further, it is observed that the third bright fringe of known light coincides with the 4th 4^{\text {th }} bright fringe of the unknown light. From this data, the wavelength of the unknown light isJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  117. 117In a Young's double slit experiment the intensity at a point where the path difference is λ6\frac{\lambda}{6} (λ\lambda being the wavelength of the light used) is I\mathrm{I}. If I0\mathrm{I}_0 denotes the maximum intensity, II0\frac{\mathrm{I}}{\mathrm{I}_0} is equal toJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  118. 118A Young’s double slit experiment uses a monochromatic source. The shape of the
    interference fringes formed on a screen is    JEE Main/MCQ/Medium/Youngs Double Slit Experiment
  119. 119The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment isJEE Main/MCQ/Medium/Youngs Double Slit Experiment
  120. 120The source that illuminates the double −- slit in 'double - slit interference experiment' emits two distinct monochromatic waves of wavelength 500 nm500\mathrm{~nm} and 600 nm600 \mathrm{~nm}, each of them producing its own pattern on the screen. At the central point of the pattern when path difference is zero, maxima of both the patterns coincide and the resulting interference pattern is most distinct at the region of zero path difference. But as one moves out of this central region, the two fringe systems are gradually out of step such that maximum due to on wavelength coincides with the minimum due to the other and the combined fringe system becomes completely indistinct. This may happen when path difference in nm\mathrm{nm} is:JEE Main/MCQ/Medium/Special Cases in YDSE
  121. 121A thin glass plate of thickness is 25003λ\frac{2500}{3} \lambda ( λ\lambda is wavelength of light used) and refractive index μ=1.5\mu=1.5 is inserted between one of the slits and the screen in Young's double slit experiment. At a point on the screen equidistant from the slits, the ratio of the intensities before and after the introduction of the glass plate is :JEE Main/MCQ/Medium/Special Cases in YDSE
  122. 122Some distant star is to be observed by some telescope of diameter of objective lens aa, at an angular resolution of 3.0×10−73.0\times 10^{-7} radian. If the wavelength of light from the star reaching the telescope is 500500 nm, the minimum diameter of the objective lens of the telescope is ________ cm. (nearest integer)JEE Main/Numerical/Medium/Diffraction of Light
  123. 123A telescope with objective diameter RR is used to observe a distant star emitting light of wavelength 500500 nm, at a resolution of 5×10−75 \times 10^{-7} radian. The value of RR is _____ cm.JEE Main/MCQ/Medium/Diffraction of Light
  124. 124A slit of width aa is illuminated by light of wavelength λ\lambda. The linear separation between 1st1^{st} and 3rd3^{rd} minima in the diffraction pattern produced on a screen placed at a distance DD from the slit system is _____.JEE Main/MCQ/Medium/Diffraction of Light
  125. 125In single slit diffraction pattern, the wavelength of light used is 628628 nm and slit width is 0.20.2 mm, the angular width of central maximum is α×10−2\alpha \times 10^{-2} degrees. The value of α\alpha is _______.JEE Main/Numerical/Medium/Diffraction of Light
  126. 126Given below are two statements:
    Statement I: A plane wave after passing through prism remains as plane wave but passing through small pin hole may become spherical wave.
    Statement II: The curvature of a spherical wave emerging from a slit will increase for increasing slit width.
    In the light of the above statements, choose the correct answer from the options given below    JEE Main/MCQ/Medium/Diffraction of Light
  127. 127Which of the following are true for a single slit diffraction?
    A. Width of central maxima increases with increase in wavelength keeping slit width constant.
    B. Width of central maxima increases with decrease in wavelength keeping slit width constant.
    C. Width of central maxima increases with decrease in slit width at constant wavelength.
    D. Width of central maxima increases with increase in slit width at constant wavelength.
    E. Brightness of central maxima increases for decrease in wavelength at constant slit width.    JEE Main/MCQ/Medium/Diffraction of Light
  128. 128Which of the following phenomena can not be explained by wave theory of light?JEE Main/MCQ/Medium/Diffraction of Light
  129. 129A parallel beam of monochromatic light of wavelength 600 nm600 \mathrm{~nm} passes through single slit of 0.4 mm0.4 \mathrm{~mm} width. Angular divergence corresponding to second order minima would be ______ ×10−3rad\times 10^{-3} \mathrm{rad}.JEE Main/Numerical/Medium/Diffraction of Light
  130. 130A microwave of wavelength 2.0cm2.0cm falls normally on a slit of width 4.0cm.4.0cm. The angular spread of the central maxima of the diffraction pattern obtained on a screen 1.5m1.5m away from the slit, will be:JEE Main/MCQ/Medium/Diffraction of Light
  131. 131A monochromatic light of wavelength 6000Ao6000A^{o} is incident on the single slit of width 0.01mm0.01mm. If the diffraction pattern is formed at the focus of the convex lens of focal length 20cm20cm, the linear width of the central maximum is :JEE Main/MCQ/Medium/Diffraction of Light
  132. 132The diffraction pattern of a light of wavelength 400nm400nm diffracting from a slit of width 0.2mm0.2mm is focused on the focal plane of a convex lens of focal length 100cm100cm. The width of the 1st{1}^{\text{st}} secondary maxima will be :JEE Main/MCQ/Medium/Diffraction of Light
  133. 133In a single slit diffraction pattern, a light of wavelength 6000Ao6000A^{o} is used. The distance between the first and third minima in the diffraction pattern is found to be 3mm3mm when the screen is placed 50cm50cm away from slits. The width of the slit is ____×10−4m\times {10}^{-4}m.JEE Main/Numerical/Medium/Diffraction of Light
  134. 134A parallel beam of monochromatic light of wavelength 5000Ao5000A^{o} is incident normally on a single narrow slit of width 0.001mm0.001mm. The light is focused by convex lens on screen, placed on its focal plane. The first minima will be formed for the angle of diffraction of ______ (degree).JEE Main/Numerical/Medium/Diffraction of Light
  135. 135Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R
    Assertion A : The beam of electrons shows wave nature and exhibit interference and diffraction.
    Reason R : Davisson Germer Experimentally verified the wave nature of electrons.
    In the light of the above statements. Choose the most appropriate answer from the options given below :    JEE Main/MCQ/Medium/Diffraction of Light
  136. 136Given below are two statements :
    Statement I : If the Brewster's angle for the light propagating from air to glass is     θB{\theta }_{B}, then Brewster's angle for the light propagating from glass to air is π2−θB\dfrac{\pi }{2}-{\theta }_{B}.
    Statement II : The Brewster's angle for the light propagating from glass to air is     tan⁡−1(μg){\tan }^{-1}\left({\mu }_{g}\right), where μg{\mu }_{g} is the refractive index of glass.
    In the light of the above statements, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Diffraction of Light
  137. 137Sodium light of wavelengths 650nm650nm and 655nm655nm is used to study diffraction at a single slit of aperture 0.5mm0.5mm. The distance between the slit and the screen is 2.0m2.0m. The separation between the positions of the first maxima of diffraction pattern obtained in the two cases is _____ ×10−5m\times {10}^{-5}mJEE Main/Numerical/Medium/Diffraction of Light
  138. 138The difference in the number of waves when yellow light propagates through air and vacuum columns of the same thickness is one. The thickness of the air column is _____ mmmm. [Refractive index of air =1.0003=1.0003, the wavelength of yellow light in vacuum =6000A∘]=6000A^{^{\circ}}]JEE Main/Numerical/Medium/Diffraction of Light
  139. 139Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1μm.0.1\mu m. If the diameter of the pinhole is slightly increased, it will affect the diffraction pattern such thatJEE Main/MCQ/Medium/Diffraction of Light
  140. 140Orange light of wavelength 6000×10–10m6000\times {10}^{–10}m illuminates a single slit of width 0.6×10–4m0.6\times {10}^{–4}m. The maximum possible number of diffraction minima produced on both sides of the central maximum is __________JEE Main/Numerical/Medium/Diffraction of Light
  141. 141The aperture diameter of a telescope is 5m5m . The separation between the moon and the earth is 4×105km4\times {10}^{5}km . With light of wavelength of 5500A˚5500Å , the minimum separation between objects on the surface of moon, so that they are just resolved, is close to:JEE Main/MCQ/Medium/Diffraction of Light
  142. 142Visible light of wavelength 6000×10−8cm6000\times {10}^{-8}cm falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum is at 60o{60}^{o} from the central maximum. If the first minimum is produced at θ1,{\theta }_{1}, then θ1{\theta }_{1} is close toJEE Main/MCQ/Medium/Diffraction of Light
  143. 143In a double-slit experiment, green light (5303 A)(5303 \mathrm{~A}) falls on a double slit having a separation of 19.44μm19.44 \mu \mathrm{m} and a width of 4.05μm4.05 \mu \mathrm{m}. The number of bright fringes between the first and the second diffraction minima isJEE Main/MCQ/Medium/Diffraction of Light
  144. 144Light of wavelength 550 nm550 \mathrm{~nm} falls normally on a slit of width 22.0×10−5 cm22.0 \times 10^{-5} \mathrm{~cm}. The angular position of the second minima from the central maximum will be (in radians)JEE Main/MCQ/Medium/Diffraction of Light
  145. 145The angular width of the central maximum in a single slit diffraction pattern is 60∘60^{\circ} . The width of the slit is 1μm1\mu m. The slit is illuminated by monochromatic plane waves. If another slit of the same width is made near it, Young's fringes can be observed on a screen placed at a distance 50cm50 cm from the slits. If the observed fringe width is 1cm1 cm, what is slit separation distance? (i.e., the distance between the centres of each slit.)JEE Main/MCQ/Medium/Diffraction of Light
  146. 146A single slit of width 0.1mm0.1mm is illuminated by a parallel beam of light of wavelength 6000Å6000Å and diffraction bands are observed on a screen 0.5m0.5m from the slit. The distance of the third dark band from the central bright band is:JEE Main/MCQ/Medium/Diffraction of Light
  147. 147A single slit of width bb is illuminated by a coherent monochromatic light of wavelength λ.\lambda . If the second and fourth minima in the diffraction pattern at a distance 1cm1cm from the slit are at 3cm3cm and 6cm6cm respectively from the central maximum, what is the width of the central maximum? (i.e. distance between first minimum on either side of the central maximum)JEE Main/MCQ/Medium/Diffraction of Light
  148. 148Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600nm. To see the stars just resolved by the telescope, the minimum distance between them should be (1lightyear=9.46×1015m)\left(1lightyear=9.46\times {10}^{15}m\right) of the order of :JEE Main/MCQ/Medium/Diffraction of Light
  149. 149The box of a pin hole camera, of length L, has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength λ\lambda the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say bmin{b}_{min} ) when:JEE Main/MCQ/Medium/Diffraction of Light
  150. 150A parallel beam of electrons travelling in x - direction falls on a slit of width d (see figure). If after passing the slit, an electron acquires momentum py{p}_{y} in the y - direction then for a majority of electrons passing through the slit (h is Planck's constant):

    JEE Main/MCQ/Medium/Diffraction of Light/With diagram
  151. 151Assuming that the human pupil has a radius of 0.25cm0.25cm and a comfortable viewing distance of 25cm25cm. The minimum separation between two point objects that the human eye can resolve for the light of wavelength 500nm500nm isJEE Main/MCQ/Medium/Diffraction of Light
  152. 152In an experiment of single slit diffraction pattern, first minimum for red light coincides with first maximum of some other wavelength. If wavelength of red light is 6600A˚6600 Å, then wavelength of first maximum will be:JEE Main/MCQ/Medium/Diffraction of Light
  153. 153This question has Statement-1 and Statements2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
    Statement-1 : Out of radio waves and microwaves, the radio waves undergo more diffraction.
    Statement-2 : Radio waves have greater frequency compared to microwaves.    JEE Main/MCQ/Medium/Diffraction of Light
  154. 154The first diffraction minimum due to the single slit diffraction is seen at θ=30∘\theta=30^{\circ} for a light of wavelength 5000A˚5000 Å falling perpendicularly on the slit. The width of the slit isJEE Main/MCQ/Medium/Diffraction of Light
  155. 155If I0\mathrm{I}_0 is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?JEE Main/MCQ/Medium/Diffraction of Light
  156. 156Two point white dots are 1 mm1 \mathrm{~mm} apart on a black paper. They are viewed by eye of pupil diameter 3 mm3 \mathrm{~mm}. Approximately, what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light =500 nm=500 \mathrm{~nm} ]JEE Main/MCQ/Medium/Diffraction of Light
  157. 157Wavelength of light used in an optical instrument are λ1=4000A˚\lambda_1=4000 Å and λ2=5000A˚\lambda_2=5000 Å, then ratio of their respective resolving powers (corresponding to λ1\lambda_1 and λ2\lambda_2 ) isJEE Main/MCQ/Medium/Diffraction of Light
  158. 158An unpolarized light of intensity IoI_o passes through polarizer and then through a certain optically active solution and finally it goes to analyser. If the angle between analyser and polariser is 0°0° and intensity of light emerged from analyser is 38Io\dfrac{3}{8}I_o, the angle of rotation of the light by the solution with respect to analyser is _______ degrees.JEE Main/Numerical/Medium/Polarization of Light
  159. 159An unpolarized light of certain intensity passes through a combination of two polarizers whose transmission axes are at 30°30° and 90°90°, respectively, with respect to the horizontal axis. A third polarizer with its transmission axis at 60°60° with the horizontal axis is placed between the two existing polarizers. The ratio of the output intensities with and without the third polarizer is ______.JEE Main/MCQ/Medium/Polarization of Light
  160. 160An unpolarized light is incident on the plane interface of air-dielectric medium shown in figure. If the incident angle is equal to Brewster angle, identify the expression representing reflected wave.
    JEE Main/MCQ/Medium/Polarization of Light/With diagram
  161. 161An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and 232 \sqrt{3} (medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is ____\_\_\_\_.JEE Main/MCQ/Medium/Polarization of Light
  162. 162When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observed that the reflected beam is linearly polarized. The angle of refracted beam with respect to the normal is ____\_\_\_\_.
    (tan⁡−1(1.52)=57.7∘\left(\tan ^{-1}(1.52)=57.7^{\circ}\right., refractive indices of air and glass are 1.00 and 1.52, respectively.)    JEE Main/MCQ/Medium/Polarization of Light
  163. 163Two polarisers P1P_1 and P2P_2 are placed in such a way that the intensity of the transmitted light will be zero. A third polariser P3P_3 is inserted in between P1P_1 and P2\mathrm{P}_2, at the particular angle between P2\mathrm{P}_2 and P3\mathrm{P}_3. The transmitted intensity of the light passing the through all three polarisers is maximum. The angle between the polarisers P2\mathrm{P}_2 and P3\mathrm{P}_3 is :JEE Main/MCQ/Medium/Polarization of Light
  164. 164In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of P1P_1 and P2P_2 are orthogonal to each other. The polarizer P3P_3 covers both the slits with its transmission axis at 45∘45^{\circ} to those of P1P_1 and P2P_2. An unpolarized light of wavelength λ\lambda and intensity I0I_0 is incident on P1P_1 and P2P_2. The intensity at a point after P3P_3 where the path difference between the light waves from s1s_1 and s2s_2 is λ3\frac{\lambda}{3}, is
    JEE Main/MCQ/Medium/Polarization of Light/With diagram
  165. 165When unpolarized light is incident at an angle of 60∘60^{\circ} on a transparent medium from air. The reflected ray is completely polarized. The angle of refraction in the medium isJEE Main/MCQ/Medium/Polarization of Light
  166. 166A beam of unpolarised light of intensity I0{I}_{0} is passed through a polaroid AA and then through another polaroid BB which is oriented so that its principal plane makes an angle of 45∘45^{\circ} relative to that of AA. The intensity of emergent light is :JEE Main/MCQ/Medium/Polarization of Light
  167. 167When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a rotation of :JEE Main/MCQ/Medium/Polarization of Light
  168. 168Unpolarised light of intensity 32Wm−232W{m}^{-2} passes through the combination of three polaroids such that the pass axis of the last polaroids is perpendicular to that of the pass axis of first polaroids. If intensity of emerging light is 3Wm−23W{m}^{-2}, then the angle between pass axis of first two polaroids is _________∘^{\circ}.JEE Main/Numerical/Medium/Polarization of Light
  169. 169‘nn’ polarizing sheets are arranged such that each makes an angle 45∘45^{\circ} with the proceeding sheet. An unpolarized light of intensity II is incident into this arrangement. The output intensity is found to be I64\dfrac{I}{64} . The value of nn will be:JEE Main/MCQ/Medium/Polarization of Light
  170. 170Two polaroids AandBA\text{and}B are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid CC is placed between AandBA\text{and}B bisecting angle between them. If intensity of unpolarised light is I0{I}_{0} then intensity of transmitted light after passing through polaroid BB will be :JEE Main/MCQ/Medium/Polarization of Light
  171. 171Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.82.8 (medium –11) and 6.86.8 (medium – 22), respectively. To satisfy the condition, so that the reflected and refracted rays are perpendicular to each other, the angle of incidence should be tan⁡−1(1+10θ)12{\tan }^{-1}{\left(1+\dfrac{10}{\theta }\right)}^{\dfrac{1}{2}}, the value of θ\theta is ______.
    (Given for dielectric media,     μr=1{\mu }_{r}=1)    JEE Main/Numerical/Medium/Polarization of Light
  172. 172As shown in figures, three identical polaroids P1{P}_{1}, P2{P}_{2} and P3{P}_{3} are placed one after another. The pass axis of P2{P}_{2} and P3{P}_{3} are inclined at angle of 60º60º and 90º90º with respect to axis of P1{P}_{1}. The source SS has an intensity of 256Wm−2256W{m}^{-2}. The intensity of light at point OO is _____Wm−2W{m}^{-2}.
    JEE Main/Numerical/Medium/Polarization of Light/With diagram
  173. 173An unpolarised light beam of intensity 2I02{I}_{0} is passed through a polaroid PP and then through another polaroid QQ which is oriented in such a way that its passing axis makes an angle of 30∘30^{\circ} relative to that of PP. The intensity of the emergent light isJEE Main/MCQ/Medium/Polarization of Light
  174. 174A wave of frequency =3GHz=3GHz, strikes a particle of size (1100)th{\left(\dfrac{1}{100}\right)}^{th} of λ\lambda, then this phenomenon is called asJEE Main/MCQ/Medium/Polarization of Light
  175. 175A light whose electric field vectors are completely removed by using a good polaroid, allowed to incident on the surface of the prism at Brewster's angle. Choose the most suitable option for the phenomenon related to the prism.JEE Main/MCQ/Medium/Polarization of Light
  176. 176A source of light is placed in front of a screen. The intensity of light on the screen is II. Two Polaroids P1{P}_{1} and P2{P}_{2} are so placed in between the source of light and screen that the intensity of light on the screen is I2\dfrac{I}{2}. Then the P2{P}_{2}, should be rotated by an angle of (degrees) so that the intensity of light on the screen becomes 3I8\dfrac{3I}{8}.JEE Main/Numerical/Medium/Polarization of Light
  177. 177An unpolarized light beam is incident on the polarizer of a polarization experiment and the intensity of light beam emerging from the analyzer is measured as 100100 Lumens. Now, if the analyzer is rotated around the horizontal axis (direction of light) by 30∘30^{\circ} in clockwise direction, the intensity of emerging light will be _______Lumens.JEE Main/Numerical/Medium/Polarization of Light
  178. 178A beam of plane polarized light of large cross-sectional area and uniform intensity of 3.3Wm–23.3W{m}^{–2} falls normally on a polarizer (cross-sectional area 3×10–4m23\times {10}^{–4}{m}^{2}), which rotates about its axis with an angular speed of 31.4rads−131.4rad{s}^{-1}. The energy of light passing through the polarizer per revolution, is close to:JEE Main/MCQ/Medium/Polarization of Light
  179. 179A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just 3636% of the original intensity. Assuming that the polarizer - analyser set does not absorb any light, the angle by which the analyser needs to be rotated further, to reduce the output intensity to zero, is (sin⁡−1(35)=37∘)\left({\sin }^{-1}\left(\dfrac{3}{5}\right)=37^{\circ}\right)JEE Main/MCQ/Medium/Polarization of Light
  180. 180A system of three polarizers P1,P2,P3{P}_{1},{P}_{2},{P}_{3} is set up such that the pass axis of P3{P}_{3} is crossed with respect to that of P1{P}_{1} . The pass axis of P2{P}_{2} is inclined at 60o{60}^{o} to the pass axis of P3.{P}_{3}. When a beam of unpolarized light of intensity Io{I}_{o} is incident on P1,{P}_{1}, the intensity of light transmitted by the three polarizers is II . The ratio (Io/I)\left({I}_{o}/I\right) equals (nearly):JEE Main/MCQ/Medium/Polarization of Light
  181. 181Consider a tank made of glass (refractive index 1.51.5 ) with a thick bottom. It is filled with a liquid of refractive index μ.\mu . A student finds that, irrespective of what the incident angle ii (see figure) is for a beam of light entering the liquid, the light reflected from the liquid glass interface is never completely polarized. For this to happen, the minimum value of μ\mu is:

    JEE Main/MCQ/Medium/Polarization of Light/With diagram
  182. 182Unpolarized light of intensity II is incident on a system of two polarizers, AA followed by BB. The intensity of emergent light is I2\dfrac{I}{2} . If a third the polarizer CC is placed between AA and BB the intensity of emergent light is reduced to I3\dfrac{I}{3} . The angle between the polarizers AA and CC is θ\theta , thenJEE Main/MCQ/Medium/Polarization of Light
  183. 183A plane polarized light is incident on a polariser with its pass axis making angle θ\theta with x\mathrm{x}-axis, as shown in the figure. At four different values of θ,θ=8∘,38∘,188∘\theta, \theta=8^{\circ}, 38^{\circ}, 188^{\circ} and 218∘218^{\circ}, the observed intensities are same. What is the angle between the direction of polarization and x\mathrm{x}-axis
    JEE Main/MCQ/Medium/Polarization of Light/With diagram
  184. 184Unpolarized light of intensity II passes through an ideal polariser AA. Another identical polariser BB is placed behind AA. The intensity of light beyond B is found to be I2\dfrac{I}{2}. Now another identical polariser CC is placed between AA and BB. The intensity beyond B is now found to be I8\dfrac{I}{8} . The angle between polariser AA and CC isJEE Main/MCQ/Medium/Polarization of Light
  185. 185Unpolarized light of intensity I0{I}_{0} is incident on surface of a block of glass at Brewster's angle. In that case, which one of the following statements is true?JEE Main/MCQ/Medium/Polarization of Light
  186. 186Two beams, A and B of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position when the beam A has maximum intensity (and beam B has zero intensity), a rotation of polaroid through 30o makes the two beams appear equally bright. If the initial intensities of the two beams are IA and IB respectively, then IAIB\dfrac{{\text{I}}_{\text{A}}}{{\text{I}}_{\text{B}}} equals :JEE Main/MCQ/Medium/Polarization of Light
  187. 187A person lives in a high-rise building on the bank of a river 50 m50 \mathrm{~m} wide. Across the river is a well lit tower of height 40 m40 \mathrm{~m}. When the person, who is at a height of 10 m10 \mathrm{~m}, looks through a polarizer at an appropriate angle at light of the tower reflecting from the river surface, he notes that intensity of light coming from distance X\mathrm{X} from his building is the least and this corresponds to the light coming from light bulbs at height ' Y\mathrm{Y} ' on the tower. The values of X\mathrm{X} and Y\mathrm{Y} are respectively close to (refractive index of water ≃43\simeq \frac{4}{3} )
    JEE Main/MCQ/Medium/Polarization of Light/With diagram
  188. 188A beam of unpolarised light of intensity I0{I}_{0} is passed through a polaroid AA and then through another polaroid BB which is oriented so that its principle plane makes an angle of 45o{\text{45}}^{\text{o}} relative to that of AA. The intensity of the emergent light is:JEE Main/MCQ/Medium/Polarization of Light
  189. 189Two polaroids have their polarizing directions parallel so that the intensity of a transmitted light is maximum. The angle through which either polaroid must be turned if the intensity is to drop by one-half isJEE Main/MCQ/Medium/Polarization of Light
  190. 190When an unpolarized light of intensity I0I_0 is incident on a polarizing sheet, the intensity of the light which does not get transmitted isJEE Main/MCQ/Medium/Polarization of Light
  191. 191The angle of incidence at which reflected light totally polarized for reflection from air to glass (refractive index nn ), isJEE Main/MCQ/Medium/Polarization of Light

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