Physics · JEE Main

Units & Dimensions

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

147MCQ2Numerical4With diagram
Start with question 1
  1. 1The dimensional formula of magnetic permeability of free space μ0\mu_0 is:JEE Main/MCQ/Medium
  2. 2A new unit (α)(\alpha) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of α\alpha units if light takes 66 min. 4040 s to cover this distance?JEE Main/MCQ/Medium/Units
  3. 3Keeping the significant figures in view, the sum of the physical quantities 52.01 m,153.2 m52.01 \mathrm{~m}, 153.2 \mathrm{~m} and 0.123 m is :JEE Main/MCQ/Medium/Units
  4. 4Match List-I with List-II.
    List-IList-II(A) Heat capacity of body(I) Jkg−1(B) Specific heat capacity of body(II) JK−1(C) Latent heat(III) Jkg−1 K−1(D) Thermal conductivity(IV) Jm−1 K−1 s−1\begin{array}{ll} \text{List-I} & \text{List-II} \\ \text{(A) Heat capacity of body} & \text{(I) } \mathrm{J} \mathrm{kg}^{-1} \\ \text{(B) Specific heat capacity of body} & \text{(II) } \mathrm{JK}^{-1} \\ \text{(C) Latent heat} & \text{(III) } \mathrm{J} \mathrm{kg}^{-1} \mathrm{~K}^{-1} \\ \text{(D) Thermal conductivity} & \text{(IV) } \mathrm{Jm}^{-1} \mathrm{~K}^{-1} \mathrm{~s}^{-1} \end{array}
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Units
  5. 5Match List - I with List - II.


    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Units/With diagram
  6. 6Match List - I with List - II.
     List - I  List - II  (A)  Permeability of free space  (I) [M L2 T−2] (B)  Magnetic field  (II) [M T−2 A−1] (C)  Magnetic moment  (III) [M L T−2 A−2] (D)  Torsional constant  (IV) [L2 A]\begin{array}{llll} & \text { List - I } & & \text { List - II } \\ \text { (A) } & \text { Permeability of free space } & \text { (I) }\left[\mathrm{M} \mathrm{~L}^2 \mathrm{~T}^{-2}\right] \\ \text { (B) } & \text { Magnetic field } & \text { (II) }\left[\mathrm{M} \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right] \\ \text { (C) } & \text { Magnetic moment } & \text { (III) }\left[\mathrm{M} \mathrm{~L} \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right] \\ \text { (D) } & \text { Torsional constant } & \text { (IV) }\left[\mathrm{L}^2 \mathrm{~A}\right] \end{array}

    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Units
  7. 7Given below are two statements :
    Statement I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances.
    Statement II : Au < Parsec (Pc) < ly
    In the light of the above statements, choose the most appropriate answer from the options given below:    JEE Main/MCQ/Medium/Units
  8. 8Match List I with List II List I List II A Torque I kgm–1s–2kg{m}^{–1}{s}^{–2} B Energy density II kgms–1kgm{s}^{–1} C Pressure gradient III kgm–2s–2kg{m}^{–2}{s}^{–2} D Impulse IV kgm2s–2kg{m}^{2}{s}^{–2} Choose the correct answer from the options given below :JEE Main/MCQ/Medium/Units
  9. 9Electric field in a certain region is given by E⃗=(Ax2i^+By3j^)\vec{E}=\left(\dfrac{A}{{x}^{2}}\hat{i}+\dfrac{B}{{y}^{3}}\hat{j}\right). The SI unit of AA and BB are :JEE Main/MCQ/Medium/Units
  10. 10Match List I with List II List - I List - II A Surface tension I. kgm−1s−1kg{m}^{-1}{s}^{-1} B Pressure II. kgms−1kgm{s}^{-1} C Viscosity III. kgm−1s−2kg{m}^{-1}{s}^{-2} D Impulse IV. kgs−2kg{s}^{-2} Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Units
  11. 11Match List I with List II. List I List II (A) Torque (I) Nms−1{Nms}^{-1} (B) Stress (II) Jkg−1{Jkg}^{-1} (C) Latent Heat (III) NmNm (D) Power (IV) Nm−2{Nm}^{-2} Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Units
  12. 12Match List-(I)\left(I\right) with List-(II)\left(II\right). List-(I)\left(I\right) List-(II)\left(II\right) a RH{R}_{H} (Rydberg constant) i kgm−1s−1kg{m}^{-1}{s}^{-1} b hh (Planck's constant) ii kgm2s−1kg{m}^{2}{s}^{-1} c μB{\mu }_{B} (Magnetic field energy density) iii m−1{m}^{-1} d η\eta (coefficient of viscosity) iv kgm−1s−2kg{\text{m}}^{-1}{s}^{-2} Choose the most appropriate answer from the options given below:JEE Main/MCQ/Medium/Units
  13. 13If EE and HH represents the intensity of electric field and magnetizing field respectively, then the unit of EH\dfrac{E}{H} will be:JEE Main/MCQ/Medium/Units
  14. 14In SISI units, the dimensions of ϵ0μ0\sqrt{\dfrac{{ϵ}_{0}}{{\mu }_{0}}} is:JEE Main/MCQ/Medium/Units
  15. 15Let L,R,CL,R,C and VV represent inductance, resistance, capacitance and voltage, respectively. The dimension of LRCV\dfrac{L}{RCV} in SISI units will be:JEE Main/MCQ/Medium/Units
  16. 16The density of a material in SISI units is 128kgm−3.128kg{m}^{-3}. In certain units in which the unit of length is 25cm25cm and the unit of mass is 50g,50g, the numerical value of density of the material is:JEE Main/MCQ/Medium/Units
  17. 17A student measured the diameter of a wire using a screw gauge with the least count 0.001 cm0.001 \mathrm{~cm} and listed the measurements. The measured value should be recorded asJEE Main/MCQ/Medium/Units
  18. 18Consider the equation H=xpϵqErtsH = \dfrac{x^p \epsilon^q E^r}{t^s}, where H=H= magnetic field; E=E= electric field, ϵ=\epsilon= permittivity, x=x= distance, t=t= time. The values of p,q,rp, q, r and ss respectively are:JEE Main/MCQ/Medium/Dimensions
  19. 19Match List - I with List - II.List - IList - IIA. Boltzmann constantI. [M−1L3T−2][M^{-1}L^3T^{-2}]B. Stefan's constantII. [ML2T−1][ML^2T^{-1}]C. Planck's constantIII. [ML2T−2K−1][ML^2T^{-2}K^{-1}]D. Gravitational constantIV. [ML0T−3K−4][ML^0T^{-3}K^{-4}]Choose the correct answer from the options given below :JEE Main/MCQ/Medium/Dimensions
  20. 20The potential energy of a particle changes with distance xx from a fixed origin as V=Axx+BV = \dfrac{A\sqrt{x}}{x + B}, where AA and BB are constant with appropriate dimensions. The dimensions of ABAB are _______.JEE Main/MCQ/Medium/Dimensions
  21. 21Match List-I with List-II.
    List-IList-IIA. Meter (L)I.     hcG\sqrt{\dfrac{hc}{G}}B. Second (S)II. Ghc5\sqrt{\dfrac{Gh}{c^5}}C. Kilogram (M)III. K2L2c3Gh\sqrt{\dfrac{K^2L^2c^3}{Gh}}D. Kelvin (K)IV. Ghc3\sqrt{\dfrac{Gh}{c^3}}
    where     hh (Planck's constant), GG (gravitational constant) and cc (speed of light in vacuum) as fundamental units.
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Dimensions
  22. 22LL, CC and RR represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula ML2T−4A−2ML^2 T^{-4} A^{-2} corresponds to __________.JEE Main/MCQ/Medium/Dimensions
  23. 23Dimensions of universal gravitational constant (G)(G) in terms of Planck's constant (h)(h), distance (L)(L), mass (M)(M) and time (T)(T) are _______.JEE Main/MCQ/Medium/Dimensions
  24. 24Match List - I with List - II.
    \(\begin{array}{llll} & \text{List - I} & & \text{List - II} \\ A. & \text{Coefficient of viscosity} & I. & [M L^{-1} T^{-1}] \\ B. & \text{Surface tension} & II. & [M L^{0} T^{-2}] \\ C. & \text{Pressure} & III. & [M L^{-1} T^{-2}] \\ D. & \text{Surface energy} & IV. & [M L^{2} T^{-2}] \end{array}\)
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Dimensions
  25. 25Match the LIST-I with LIST-II
    \(\begin{array}{||c|l||c|l||} \hline & \text{List-I} & & \text{List-II} \\ \hline \text{A.} & \text{Magnetic induction} & \text{I.} & \mathrm{M\,L\,T^{-2}\,A^{-2}} \\ \hline \text{B.} & \text{Magnetic flux} & \text{II.} & \mathrm{M\,L^{2}\,T^{-2}\,A^{-2}} \\ \hline \text{C.} & \text{Magnetic permeability} & \text{III.} & \mathrm{M\,L^{0}\,T^{-2}\,A^{-1}} \\ \hline \text{D.} & \text{Self inductance} & \text{IV.} & \mathrm{M\,L^{2}\,T^{-2}\,A^{-1}} \\ \hline \end{array}\)
    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Dimensions
  26. 26A ball of radius rr and density ρ\rho dropped through a viscous liquid of density σ\sigma and viscosity η\eta attains its terminal velocity at time tt, given by t=Aρarbηcσdt=A \rho^{a} r^{b} \eta^{\mathrm{c}} \sigma^{d}, where AA is a constant and a,b,ca, b, c and dd are integers. The value of b+ca+d\frac{b+c}{a+d} is ____\_\_\_\_.JEE Main/Numerical/Medium/Dimensions
  27. 27If ϵ,E\epsilon, E and tt represent the free space permittivity, electric field and time respectively, then the unit of ϵEt\frac{\epsilon E}{t} will be :JEE Main/MCQ/Medium/Dimensions
  28. 28Match the LIST-I with LIST-II
    \(\begin{array}{||c|l||c||l||} \hline & \textbf{List-I} & & \textbf{List-II} \\ \hline A. & \text{Spring constant} & I. & \mathrm{M L^{2} T^{-2} K^{-1}} \\ \hline B. & \text{Thermal conductivity} & II. & \mathrm{M L^{0} T^{-2}} \\ \hline C. & \text{Boltzmann constant} & III. & \mathrm{M L^{2} T^{-3} A^{-2}} \\ \hline D. & \text{Inductive reactance} & IV. & \mathrm{M L T^{-3} K^{-1}} \\ \hline \end{array}\)
    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Dimensions
  29. 29Consider a modified Bernoulli equation.
    (P+ABt2)+ρg(h+Bt)+12ρV2=\left(\mathrm{P}+\frac{A}{B t^{2}}\right)+\rho g(h+B t)+\frac{1}{2} \rho V^{2}= constant
    If     tt has the dimension of time then the dimensions of AA and BB are ____\_\_\_\_, ____\_\_\_\_ respectively.    JEE Main/MCQ/Medium/Dimensions
  30. 30Match List-I with List-II.
    List-IList-II(A)Mass density(I)[ML2 T−3](B)Impulse(II)[MLT−1](C)Power(III)[ML2 T0](D)Moment of inertia(IV)[ML−3 T0]\begin{array}{|l|l|l|l|} \hline & \text{List-I} & & \text{List-II} \\ \hline \text{(A)} & \text{Mass density} & \text{(I)} & {\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\right]} \\ \hline \text{(B)} & \text{Impulse} & \text{(II)} & {\left[\mathrm{MLT}^{-1}\right]} \\ \hline \text{(C)} & \text{Power} & \text{(III)} & {\left[\mathrm{ML}^2 \mathrm{~T}^0\right]} \\ \hline \text{(D)} & \text{Moment of inertia} & \text{(IV)} & {\left[\mathrm{ML}^{-3} \mathrm{~T}^0\right]} \\ \hline\end{array}
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Dimensions
  31. 31The dimension of μ0ϵ0\sqrt{\frac{\mu_0}{\epsilon_0}} is equal to that of :
    (     μ0=\mu_0= Vacuum permeability and ϵ0=\epsilon_0= Vacuum permittivity)    JEE Main/MCQ/Medium/Dimensions
  32. 32If ϵ0\epsilon_0 denotes the permittivity of free space and ΦE\Phi_{\mathrm{E}} is the flux of the electric field through the area bounded by the closed surface, then dimension of (ϵ0 dϕEdt)\left(\epsilon_0 \frac{\mathrm{~d} \phi_{\mathrm{E}}}{\mathrm{dt}}\right) are that of :JEE Main/MCQ/Medium/Dimensions
  33. 33In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of [MPL∘TRAS]\left[M^P L^{\circ} \mathrm{T}^{\mathrm{R}} \mathrm{A}^{\mathrm{S}}\right]. The value of P and Q are :JEE Main/MCQ/Medium/Dimensions
  34. 34Given below are two statements :
    Statement (I) : The dimensions of Planck's constant and angular momentum are same.
    Statement (II) : In Bohr's model electron revolve around the nucleus only in those orbits for which angular momentum is integral multiple of Planck's constant.
    In the light of the above statements, choose the most appropriate answer from the options given below :    JEE Main/MCQ/Medium/Dimensions
  35. 35In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of MPLQTRAS\mathrm{M}^{\mathrm{P}} \mathrm{L}^{\mathrm{Q}} \mathrm{T}^{\mathrm{R}} \mathrm{A}^{\mathrm{S}}, where value of ' Q ' and ' R ' areJEE Main/MCQ/Medium/Dimensions
  36. 36Match the LIST-I withLIST-II
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Dimensions/With diagram
  37. 37Match the LIST-I with LIST-II
    LIST-ILIST-IIA.Gravitational constantI.[LT−2]B.Gravitational potentialenergyII.[L2 T−2]C.Gravitational potentialIII.[ML2 T−2]D.Acceleration due togravityIV.[M−1 L3 T−2]\begin{array}{|l|l|l|l|}\hline & \text{LIST-I} & & \text{LIST-II} \\ \hline \text{A.} & \text{Gravitational constant} & \text{I.} & {\left[\mathrm{LT}^{-2}\right]} \\ \hline \text{B.} & \begin{array}{l} \text{Gravitational potential} \\ \text{energy} \end{array} & \text{II.} & {\left[\mathrm{L}^2 \mathrm{~T}^{-2}\right]} \\ \hline \text{C.} & \text{Gravitational potential} & \text{III.} & {\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]} \\ \hline \text{D.} & \begin{array}{l} \text{Acceleration due to} \\ \text{gravity} \end{array} & \text{IV.} & {\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]} \\ \hline \end{array}
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Dimensions
  38. 38A person measures mass of 3 different particles as 435.42 g,226.3 g435.42 \mathrm{~g}, 226.3 \mathrm{~g} and 0.125 g. According to the rules for arithmetic operations with significant figures, the additions of the masses of 3 particles will be.JEE Main/MCQ/Medium/Dimensions
  39. 39Given a charge qq, current I and permeability of vacuum μ0\mu_0. Which of the following quantity has the dimension of momentum?JEE Main/MCQ/Medium/Dimensions
  40. 40If μ0\mu_0 and ε0\varepsilon_0 are the permeability and permittivity of free space, respectively, then the dimension of (1μ0ε0)\left(\frac{1}{\mu_0 \varepsilon_0}\right) is :JEE Main/MCQ/Medium/Dimensions
  41. 41Match List-I with List-II.
    List-IList-II(A) Coefficient of viscosity(I) [ML0 T−3](B) Intensity of wave(II) [ML−2 T−2](C) Pressure gradient(III) [M−1LT2](D) Compressibility(IV) [ML−1 T−1]\begin{array}{ll} \text{List-I} & \text{List-II} \\ \text{(A) Coefficient of viscosity} & \text{(I) } \left[\mathrm{ML}^0 \mathrm{~T}^{-3}\right] \\ \text{(B) Intensity of wave} & \text{(II) } \left[\mathrm{ML}^{-2} \mathrm{~T}^{-2}\right] \\ \text{(C) Pressure gradient} & \text{(III) } \left[\mathrm{M}^{-1} \mathrm{LT}^2\right] \\ \text{(D) Compressibility} & \text{(IV) } \left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]\end{array}
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Dimensions
  42. 42The equation for real gas is given by (P+aV2)(V−b)=RT\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}, where P,V,T\mathrm{P}, \mathrm{V}, \mathrm{T} and R are the pressure, volume, temperature and gas constant, respectively. The dimension of ab−2\mathrm{ab}^{-2} is equivalent to that of :JEE Main/MCQ/Medium/Dimensions
  43. 43Match List - I with List - II.


    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Dimensions/With diagram
  44. 44The pair of physical quantities not having same dimensions is :JEE Main/MCQ/Medium/Dimensions
  45. 45The expression given below shows the variation of velocity \((v)\) with time (t), \(v=\mathrm{At}^2+\frac{\mathrm{Bt}}{\mathrm{C}+\mathrm{t}}\). The dimension of ABC is :JEE Main/MCQ/Medium/Dimensions
  46. 46Match List - I with List - II.
    JEE Main/MCQ/Medium/Dimensions/With diagram
  47. 47In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of [MaLbTc]\left[M^a L^b T^c\right]. If b=−3b=-3, the value of cc is ________JEE Main/Numerical/Medium/Dimensions
  48. 48The electric flux is ϕ=ασ+βλ\phi=\alpha \sigma+\beta \lambda where λ\lambda and σ\sigma are linear and surface charge density, respectively. (αβ)\left(\frac{\alpha}{\beta}\right) representsJEE Main/MCQ/Medium/Dimensions
  49. 49The position of a particle moving on xx-axis is given by x(t)=Asin⁡t+Bcos⁡2t+Ct2+Dx(t)=A \sin t+B \cos ^2 t+C t^2+D, where tt is time. The dimension of ABCD\frac{A B C}{D} isJEE Main/MCQ/Medium/Dimensions
  50. 50Which one of the following is the correct dimensional formula for the capacitance in F ? M,L,T\mathrm{M}, \mathrm{L}, \mathrm{T} and C stand for unit of mass, length, time and charge,JEE Main/MCQ/Medium/Dimensions
  51. 51If BB is magnetic field and μ0\mu_0 is permeability of free space, then the dimensions of (B/μ0)\left(B / \mu_0\right) isJEE Main/MCQ/Medium/Dimensions
  52. 52The de-Broglie wavelength associated with a particle of mass mm and energy EE is h/2mEh / \sqrt{2 m E}. The dimensional formula for Planck's constant is :JEE Main/MCQ/Medium/Dimensions
  53. 53The dimensional formula of latent heat is :JEE Main/MCQ/Medium/Dimensions
  54. 54If ϵ0\epsilon_0 is the permittivity of free space and E\mathrm{E} is the electric field, then ϵ0E2\epsilon_0 \mathrm{E}^2 has the dimensions :JEE Main/MCQ/Medium/Dimensions
  55. 55Given below are two statements :
    Statement (I) : Dimensions of specific heat is     [L2 T−2 K−1]\left[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right].
    Statement (II) : Dimensions of gas constant is     [ML2 T−1 K−1]\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-1} \mathrm{~K}^{-1}\right].
    In the light of the above statements, choose the most appropriate answer from the options given below.    JEE Main/MCQ/Medium/Dimensions
  56. 56Match List I with List II
    $\begin{array}{|l|l|r|l|}
    \hline \text{ LIST I } & \text{ LIST II } \\
    \hline \text{A.} & \text{Torque} & \text{I.} & {\left[M^1 L^1 T^{-2} A^{-2}\right]} \\
    \hline \text{B.} & \text{Magnetic field} & \text{II.} & {\left[L^2 A^1\right]} \\
    \hline \text{C.} & \text{Magnetic moment} & \text{III.} & {\left[M^1 T^{-2} A^{-1}\right]} \\
    \hline \text{D.} & \text{Permeability of free space} & \text{IV.} & {\left[M^1 L^2 T^{-2}\right]} \\
    \hline
    \end{array}$
    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Dimensions
  57. 57What is the dimensional formula of ab−1a b^{-1} in the equation (P+aV2)(V−b)=RT\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}, where letters have their usual meaning.JEE Main/MCQ/Medium/Dimensions
  58. 58If G\mathrm{G} be the gravitational constant and u\mathrm{u} be the energy density then which of the following quantity have the dimensions as that of the uG\sqrt{\mathrm{uG}} :JEE Main/MCQ/Medium/Dimensions
  59. 59Applying the principle of homogeneity of dimensions, determine which one is correct,
    where     TT is time period, GG is gravitational constant, MM is mass, rr is radius of orbit.    JEE Main/MCQ/Medium/Dimensions
  60. 60The equation of stationary wave is :
    y=2asin⁡(2πntλ)cos⁡(2πxλ). y=2 a \sin \left(\frac{2 \pi n t}{\lambda}\right) \cos \left(\frac{2 \pi x}{\lambda}\right) \text {. }
    Which of the following is NOT correct :    JEE Main/MCQ/Medium/Dimensions
  61. 61The dimensional formula of angular impulse is :JEE Main/MCQ/Medium/Dimensions
  62. 62Consider two physical quantities AA and BB related to each other as E=B−x2AtE=\dfrac{B-{x}^{2}}{At} where E,xE,x and tt have dimensions of energy, length and time respectively. The dimension of ABAB isJEE Main/MCQ/Medium/Dimensions
  63. 63A force is represented by F=ax2+bt12F=a{x}^{2}+b{t}^{\dfrac{1}{2}}, where x=x= distance and t=t= time. The dimensions of b2a\dfrac{{b}^{2}}{a} are :JEE Main/MCQ/Medium/Dimensions
  64. 64If mass is written as m=kcPG−1/2h1/2m=k{c}^{P}{G}^{-1/2}{h}^{1/2}, then the value of PP will be : (Constants have their usual meaning with kk a dimensionless constant)JEE Main/MCQ/Medium/Dimensions
  65. 65Match List-I with List-II.
    List-IList-IIA.Coefficient of viscosityI.[ML2T−2]B.Surface TensionII.[ML2T−1]C.Angular momentumIII.[ML−1T−1]D.Rotational kinetic energyIV.[ML0T−2]\begin{matrix} & \text{List-I} & & \text{List-II} \\ \text{A.} & \text{Coefficient of viscosity} & \text{I.} & \left[{ML}^{2}{T}^{-2}\right] \\ \text{B.} & \text{Surface Tension} & \text{II.} & \left[{ML}^{2}{T}^{-1}\right] \\ \text{C.} & \text{Angular momentum} & \text{III.} & \left[{ML}^{-1}{T}^{-1}\right] \\ \text{D.} & \text{Rotational kinetic energy} & \text{IV.} & \left[{ML}^{0}{T}^{-2}\right]\end{matrix}    JEE Main/MCQ/Medium/Dimensions
  66. 66The equation of state of a real gas is given by (P+aV2)(V−b)=RT\left(P+\dfrac{a}{{V}^{2}}\right)(V-b)=RT, where P,VP,V and TT are pressure, volume and temperature respectively and RR is the universal gas constant. The dimensions of ab2\dfrac{a}{{b}^{2}} is similar to that of :JEE Main/MCQ/Medium/Dimensions
  67. 67Given below are two statements:
    Statement (I) : Planck's constant and angular momentum have the same dimensions.
    Statement (II) : Linear momentum and moment of force have the same dimensions.
    In light of the above statements, choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Dimensions
  68. 68The speed of a wave produced in water is given by ν=λagbρc\nu ={\lambda }^{a}{g}^{b}{\rho }^{c}. Where λ,g\lambda ,g and ρ\rho are wavelength of wave, acceleration due to gravity and density of water respectively. The values of a,ba,b and cc respectively, areJEE Main/MCQ/Medium/Dimensions
  69. 69In the equation [X+aY2][Y−b]=RT,X\left[X+\dfrac{a}{{Y}^{2}}\right][Y-b]=RT,X is pressure, YY is volume, RR is universal gas constant and TT is temperature. The physical quantity equivalent to the ratio ab\dfrac{a}{b} is:JEE Main/MCQ/Medium/Dimensions
  70. 70Match List I with List II List-I List-II A Spring constant I [T–1][{T}^{–1}] B Angular speed II [MT–2][M{T}^{–2}] C Angular momentum III [ML2][M{L}^{2}] D Moment of Inertia IV [ML2T–1][M{L}^{2}{T}^{–1}] Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Dimensions
  71. 71If force (F)(F), velocity (V)(V) and time (T)(T) are considered as fundamental physical quantity, then dimensional formula of density will be :JEE Main/MCQ/Medium/Dimensions
  72. 72Match List I with List II List I List II A. Torque I. ML−2T−2M{L}^{-2}{T}^{-2} B. Stress II. ML2T−2M{L}^{2}{T}^{-2} C. Pressure gradient III. ML−1T−1M{L}^{-1}{T}^{-1} D. Coefficient of
    viscosity IV.     ML−1T−2M{L}^{-1}{T}^{-2} Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Dimensions
  73. 73Dimension of 1μ0ϵ0\dfrac{1}{{\mu }_{0}{\epsilon }_{0}} should be equal toJEE Main/MCQ/Medium/Dimensions
  74. 74If the velocity of light cc, universal gravitational constant GG and planck's constant hh are chosen as fundamental quantities. The dimensions of mass in the new system is:JEE Main/MCQ/Medium/Dimensions
  75. 75(P+aV2)(V−b)=RT\left(P+\dfrac{a}{{V}^{2}}\right)\left(V-b\right)=RT represents the equation of state of some gases. Where PP is the pressure, VV is the volume, TT is the temperature and a,b,Ra,b,R are the constants. The physical quantity, which has dimensional formula as that of b2a\dfrac{{b}^{2}}{a} , will be :JEE Main/MCQ/Medium/Dimensions
  76. 76Match List I with List II List I List II A Angular momentum I [ML2T−2]\left[{ML}^{2}{T}^{-2}\right] B Torque II [ML−2T−2]\left[{ML}^{-2}{T}^{-2}\right] C Stress III [ML2T−1]\left[{ML}^{2}{T}^{-1}\right] D Pressure gradient IV [ML−1T−2]\left[{ML}^{-1}{T}^{-2}\right] Choose the correct answer from the options given below :JEE Main/MCQ/Medium/Dimensions
  77. 77If R,XLandXCR,{X}_{L}\text{and}{X}_{C} represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:JEE Main/MCQ/Medium/Dimensions
  78. 78The equation of a circle is given by x2+y2=a2{x}^{2}+{y}^{2}={a}^{2}, where aa is the radius. If the equation is modified to change the origin other than (0,0)(0,0), then find out the correct dimensions of AA and BB in a new equation :
    (x−At)2+(y−tB)2=a2{\left(x-At\right)}^{2}+{\left(y-\dfrac{t}{B}\right)}^{2}={a}^{2}
    The dimensions of     tt is given as [T−1]\left[{T}^{-1}\right]    JEE Main/MCQ/Medium/Dimensions
  79. 79Match List I with List II : List-I (Physical Quantity) List-II (Dimensional Formula) A Pressure gradient I [M0L2T−2]\left[{M}^{0}{L}^{2}{T}^{-2}\right] B Energy density II [M1L−1T−2]\left[{M}^{1}{L}^{-1}{T}^{-2}\right] C Electric Field III [M1L−2T−2]\left[{M}^{1}{L}^{-2}{T}^{-2}\right] D Latent heat IV [M1L1T−3A−1]\left[{M}^{1}{L}^{1}{T}^{-3}{A}^{-1}\right] Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Dimensions
  80. 80Match List I with List II List List II A Young's Modulus (Y)(Y) I [ML–1T–1][{ML}^{–1}T{}^{–1}] B Co-efficient of Viscosity (η)(\eta ) II [ML2T–1][{ML}^{2}T{}^{–1}] C Planck's Constant (h)(h) III [ML–1T–2][{ML}^{–1}T{}^{–2}] D Work Function (ϕ)\left(\phi \right) IV [ML2T–2][{ML}^{2}{T}^{–2}] Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Dimensions
  81. 81The frequency (ν)\left(\nu \right) of an oscillating liquid drop may depend upon radius (r)\left(r\right) of the drop, density (ρ)\left(\rho \right) of liquid and the surface tension (s)\left(s\right) of the liquid as: ν=raρbsc\nu ={r}^{a}{\rho }^{b}{s}^{c}. The values of a,ba,b and cc respectively areJEE Main/MCQ/Medium/Dimensions
  82. 82Match List I with List II List I List II A.A. Planck's constant (h)\left(h\right) I.I. [M1L2T−2]\left[{M}^{1}{L}^{2}{T}^{-2}\right] B.B. Stopping potential (Vs)\left({V}_{s}\right) II.II. [M1L1T−1]\left[{M}^{1}{L}^{1}{T}^{-1}\right] C.C. Work function (ϕ)\left(\phi \right) III.III. [M1L2T−1]\left[{M}^{1}{L}^{2}{T}^{-1}\right] D.D. Momentum (p)\left(p\right) IV.IV. [M1L2T−3A−1]\left[{M}^{1}{L}^{2}{T}^{-3}{A}^{-1}\right]JEE Main/MCQ/Medium/Dimensions
  83. 83Given below are two statements: One is labelled as Assertion (A) and other is labelled as Reason (R)
    Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension     (S)\left(S\right), if density of the liquid is ρ\rho and radius of the drop is rr, then T=Kρr3S32T=K\sqrt{\dfrac{\rho {r}^{3}}{{S}^{\dfrac{3}{2}}}} is dimensionally correct, where KK is dimensionless.
    Reason (R) : Using dimensional analysis we get R.H.S. having different dimension than that of time period. In the light of above statements, choose the correct answer from the options given below.    JEE Main/MCQ/Medium/Dimensions
  84. 84Consider the efficiency of Carnot's engine is given by η=αβsin⁡θlog⁡eβxkT\eta =\dfrac{\alpha \beta }{\sin \theta }{\log }_{e}\dfrac{\beta x}{kT}, where α\alpha and β\beta are constants. If TT is temperature, kk is Boltzman constant, θ\theta is angular displacement and xx has the dimensions of length. Then, choose the incorrect option.JEE Main/MCQ/Medium/Dimensions
  85. 85The dimensions of (B2μ0)\left(\dfrac{{B}^{2}}{{\mu }_{0}}\right) will be
    (if     μ0{\mu }_{0}: permeability of free space and B:B:magnetic field)    JEE Main/MCQ/Medium/Dimensions
  86. 86An expression of energy density is given by u=αβsin⁡(αxkt)u=\dfrac{\alpha }{\beta }\sin \left(\dfrac{\alpha x}{kt}\right), where α,β\alpha ,\beta are constants, xx is displacement, kk is Boltzmann constant and tt is the temperature. The dimensions of β\beta will beJEE Main/MCQ/Medium/Dimensions
  87. 87Which of the following physical quantities have the same dimensions?JEE Main/MCQ/Medium/Dimensions
  88. 88If momentum [P]\left[P\right], area [A]\left[A\right] and time [T]\left[T\right] are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity isJEE Main/MCQ/Medium/Dimensions
  89. 89In van dar Wall equation [P+aV2][V−b]=RT;P\left[P+\dfrac{a}{{V}^{2}}\right]\left[V-b\right]=RT;P is pressure, VV is volume, RR is universal gas constant and TT is temperature. The ratio of constants ab\dfrac{a}{b} is dimensionally equal to :JEE Main/MCQ/Medium/Dimensions
  90. 90Assertion A: Product of Pressure (P)\left(P\right) and time (t)\left(t\right) has the same dimension as that of coefficient of viscosity.
    Reason: Coefficient of viscosity     =ForceVelocitygradient=\dfrac{Force}{Velocitygradient}    JEE Main/MCQ/Medium/Dimensions
  91. 91If L,CL,C and RR are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?JEE Main/MCQ/Medium/Dimensions
  92. 92The SI unit of a physical quantity is Pascal‐sec⁡Pascal‐\sec. The dimensional formula of this quantity will beJEE Main/MCQ/Medium/Dimensions
  93. 93The dimension of mutual inductance isJEE Main/MCQ/Medium/Dimensions
  94. 94An expression for a dimensionless quantity PP is given by P=αβlog⁡e(kTβx)P=\dfrac{\alpha }{\beta }{\log }_{e}\left(\dfrac{kT}{\beta x}\right); where α\alpha and β\beta are constants, xx is distance; kk is Boltzmann constant and TT is the temperature. Then the dimensions of α\alpha will beJEE Main/MCQ/Medium/Dimensions
  95. 95Identify the pair of physical quantities that have same dimensions:JEE Main/MCQ/Medium/Dimensions
  96. 96Identify the pair of physical quantities which have different dimensions:JEE Main/MCQ/Medium/Dimensions
  97. 97If velocity [V]\left[V\right] time [T]\left[T\right] and force [F]\left[F\right] are chosen as the base quantities, the dimensions of the mass will be :JEE Main/MCQ/Medium/Dimensions
  98. 98Match List - I with List - II. List - I List - II a Torque i MLT−1{MLT}^{-1} b Impulse ii MT−2{MT}^{-2} c Tension iii ML2T−2{ML}^{2}{T}^{-2} d Surface Tension iv MLT−2{MLT}^{-2} Choose the most appropriate answer from the option given below :JEE Main/MCQ/Medium/Dimensions
  99. 99Which of the following equations is dimensionally incorrect?
    Where     t=t=time, h=h=height, s=s=surface tension, θ=\theta =angle, ρ=\rho =density ,a,r=,a,r=radius, g=g= the acceleration due to gravity, V=V=volume, p=p=pressure, W=W=work done, τ=\tau =torque, ϵ=ϵ=permittivity, E=E=electric field, J=J=current density, L=L=length.    JEE Main/MCQ/Medium/Dimensions
  100. 100If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:JEE Main/MCQ/Medium/Dimensions
  101. 101Which of the following is not a dimensionless quantity?JEE Main/MCQ/Medium/Dimensions
  102. 102Match List - I with List - II : List - I List - II a Magnetic induction i ML2T−2A−1{ML}^{2}{T}^{-2}{A}^{-1} b Magnetic flux ii M0L−1A{M}^{0}{L}^{-1}A c Magnetic permeability iii MT−2A−1{MT}^{-2}{A}^{-1} d Magnetization iv MLT−2A−2{MLT}^{-2}{A}^{-2} Choose the most appropriate answer from the options given below :JEE Main/MCQ/Medium/Dimensions
  103. 103If E,L,ME,L,M and GG denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimensions of PP in the formula P=EL2M−5G−2P=E{L}^{2}{M}^{-5}{G}^{-2} are:JEE Main/MCQ/Medium/Dimensions
  104. 104Match List I with List II. List-I List-II a Capacitance, C i M1L1T−3A−1{M}^{1}{L}^{1}{T}^{-3}{A}^{-1} b Permittivity of free space, ϵ0{\epsilon }_{0} ii M−1L−3T4A2{M}^{-1}{L}^{-3}{T}^{4}{A}^{2} c Permeability of free space, μ0{\mu }_{0} iii M−1L−2T4A2{M}^{-1}{L}^{-2}{T}^{4}{A}^{2} d Electric field, E iv M1L1T−2A−2{M}^{1}{L}^{1}{T}^{-2}{A}^{-2} Choose the correct answer from the options given belowJEE Main/MCQ/Medium/Dimensions
  105. 105The force is given in terms of time tt and displacement xx by the equation F=Acos⁡Bx+Csin⁡DtF=A\cos Bx+C\sin Dt
    The dimensional formula of     ADB\dfrac{AD}{B} is:    JEE Main/MCQ/Medium/Dimensions
  106. 106If time (t),\left(t\right), velocity (v),\left(v\right), and angular momentum (l)\left(l\right) are taken as the fundamental units. Then the dimension of mass (m)(m) in terms of t,vt,v and ll is:JEE Main/MCQ/Medium/Dimensions
  107. 107If CC and VV represent capacity and voltage respectively then what are the dimensions of λ\lambda where C/V=λC/V=\lambda ?JEE Main/MCQ/Medium/Dimensions
  108. 108In a typical combustion engine the workdone by a gas molecule is given by W=α2βe−βx2kTW={\alpha }^{2}\beta {e}^{\dfrac{-\beta {x}^{2}}{kT}}, where xx is the displacement, kk is the Boltzmann constant and TT is the temperature. If α\alpha and β\beta are constants, dimensions of α\alpha will be:JEE Main/MCQ/Medium/Dimensions
  109. 109If ee is the electronic charge, cc is the speed of light in free space and hh is Planck's constant, the quantity 14πϵ0∣e∣2hc\dfrac{1}{4\pi {\epsilon }_{0}}\dfrac{{\left|e\right|}^{2}}{hc} has dimensions of :JEE Main/MCQ/Medium/Dimensions
  110. 110Match List - I with List - II : List−IList-I List−IIList-II (a)\left(a\right) hh (Planck's constant) (i)\left(i\right) [MLT−1]\left[{MLT}^{-1}\right] (b)\left(b\right) EE (kinetic energy) (ii)\left(ii\right) [ML2T−1]\left[{ML}^{2}{T}^{-1}\right] (c)\left(c\right) VV (electric potential) (iii)\left(iii\right) [ML2T−2]\left[{ML}^{2}{T}^{-2}\right] (d)\left(d\right) PP (linear momentum) (iv)\left(iv\right) [ML2I−1T−3]\left[{ML}^{2}{I}^{-1}{T}^{-3}\right] Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Dimensions
  111. 111The work done by a gas molecule in an isolated system is given by, W=αβ2e−x2αkT,W=\alpha {\beta }^{2}{e}^{-\dfrac{{x}^{2}}{\alpha kT}}, where xx is the displacement, kk is the Boltzmann constant and TT is the temperature. α\alpha and β\beta are constants. Then the dimensions of β\beta will be:JEE Main/MCQ/Medium/Dimensions
  112. 112The quantities x=1μ0∈0,y=EBx=\dfrac{1}{\sqrt{{\mu }_{0}{\in }_{0}}},y=\dfrac{E}{B} and z=lCRz=\dfrac{l}{CR} are defined where C-capacitance, R-Resistance, ℓ−\ell -length, E-Electric field, B-magnetic field and∈0,μ0,−\in 0,\mu 0,-free space permittivity and permeability respectively. Then:JEE Main/MCQ/Medium/Dimensions
  113. 113A quantity xx is given by (1Fv2/WL4)(1F{v}^{2}/W{L}^{4}) in terms of moment of inertia II, force FF, velocity vv, work WW and length LL. The dimensional formula for xx is same as that of :JEE Main/MCQ/Medium/Dimensions
  114. 114Dimensional formula for thermal conductivity is (here K\text{K} denotes the temperature):JEE Main/MCQ/Medium/Dimensions
  115. 115Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of solar constant is:JEE Main/MCQ/Medium/Dimensions
  116. 116If momentum(P)(P), area (A)(A) and time (T)(T) are taken to be the fundamental quantities then the dimensional formula for energy is :JEE Main/MCQ/Medium/Dimensions
  117. 117If speed VV, area AA and force FF are chosen as fundamental units, then the dimension of Young's modulus will be :JEE Main/MCQ/Medium/Dimensions
  118. 118A quantity ff is given by f=hc5Gf=\sqrt{\dfrac{h{c}^{5}}{G}} where cc is speed of light, GG univasal gravitational constant and hh is the Planck’s constant. Dimension of ff is that of:JEE Main/MCQ/Medium/Dimensions
  119. 119The dimension of stopping potential V0{V}_{0} in photoelectric effect in units of Planck’s constant ‘ hh ’, speed of light ‘ cc ’ and Gravitational constant ‘ GG ’ and ampere AA is:JEE Main/MCQ/Medium/Dimensions
  120. 120Given, BB is magnetic field induction, and μ0{\mu }_{0} is the magnetic permeability of vacuum. The dimension of B22μ0\dfrac{{B}^{2}}{2{\mu }_{0}} is:JEE Main/MCQ/Medium/Dimensions
  121. 121Which of the following combinations has the dimension of electrical resistance (ϵ0({ϵ}_{0} is the permittivity of vacuum and μ0{\mu }_{0} is the permeability of vacuum)?JEE Main/MCQ/Medium/Dimensions
  122. 122In the formula X=5YZ2X=5Y{Z}^{2} , XX and ZZ have dimensions of capacitance and magnetic field, respectively. What are the dimensions of YY in SI units?JEE Main/MCQ/Medium/Dimensions
  123. 123If Surface tension(S)(S), Moment of Inertia (I)(I) and Planck's constant (h),(h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be:JEE Main/MCQ/Medium/Dimensions
  124. 124If speed (V), acceleration (A) and force (F) are considered

    as fundamental units, the dimension of Young's modulus

    will be :    JEE Main/MCQ/Medium/Dimensions
  125. 125The force of interaction between two atoms is given by F=αβexp⁡(−x2αkT);F=\alpha \beta \exp \left(-\frac{x^{2}}{\alpha k T}\right) ; where xx is the distance, k\mathrm{k} is the

    Boltzmann constant and T is temperature and     α\alpha and β\beta are two constants. The dimensions of β\beta is:    JEE Main/MCQ/Medium/Dimensions
  126. 126Expression for time in terms of GG (universal gravitational constant), hh (Planck constant) and cc (speed of light) is proportional to:JEE Main/MCQ/Medium/Dimensions
  127. 127The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants G,h\mathrm{G}, \mathrm{h} and c\mathrm{c}. Which of the following correctly gives the Planck length?JEE Main/MCQ/Medium/Dimensions
  128. 128Time (T)\left(T\right), velocity (C)\left(C\right) and angular momentum (h)\left(h\right) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be:JEE Main/MCQ/Medium/Dimensions
  129. 129A,B,CA, B, C, and DD are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD=Cln(BD)AD=C ln(BD) holds true. Then which of the combination is not a meaningful quantity?JEE Main/MCQ/Medium/Dimensions
  130. 130In the following II refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity:JEE Main/MCQ/Medium/Dimensions
  131. 131If electronic charge ee, electron mass mm, speed of light in vacuum cc and Planck's constant hh are taken as fundamental quantities, the permeability of vacuum μ0{\mu }_{0} can be expressed in units of:JEE Main/MCQ/Medium/Dimensions
  132. 132A beaker contains a fluid of density ρ\rhokgm3\dfrac{kg}{{m}^{3}} , specific heat SJkgoCS\dfrac{J}{k{g}^{o}C} and viscosity η\eta . The beaker is filled up to height h. To estimate the rate of heat transfer per unit area (Q˙A)\left(\dfrac{Q^{˙}}{A}\right) by convection when beaker is put on a hot plate, a student proposes that it should depend on η\eta , (SΔθh)\left(\dfrac{S\Delta \theta }{h}\right) and (1ρg)\left(\dfrac{1}{\rho g}\right) when Δθ\Delta \theta ( inoC{in}^{o}C ) is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for (Q˙A)\left(\dfrac{Q^{˙}}{A}\right) is:JEE Main/MCQ/Medium/Dimensions
  133. 133If the capacitance of a nanocapacitor is measured in terms of a unit uu, made by combining the electronic charge ee, Bohr radius a0,{a}_{0}^{}, Planck's constant hh and speed of light cc thenJEE Main/MCQ/Medium/Dimensions
  134. 134From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is:JEE Main/MCQ/Medium/Dimensions
  135. 135In terms of resistance RR and time TT, the dimensions of ratio με\frac{\mu}{\varepsilon} of the permeability μ\mu and permittivity ε\varepsilon is:JEE Main/MCQ/Medium/Dimensions
  136. 136If the time period tt of the oscillation of a drop of liquid of density dd, radius rr, vibrating under surface tension ss is given by the formula t=r2bscda/2t=\sqrt{r^{2 b} s^c d^{a / 2}}. It is observed that the time period is directly proportional to ds\sqrt{\frac{d}{s}}. The value of bb should therefore be :JEE Main/MCQ/Medium/Dimensions
  137. 137The dimensions of angular momentum, latent heat and capacitance are, respectively.JEE Main/MCQ/Medium/Dimensions
  138. 138From the following, the quantity (constructed from the basic constants of nature), that has the dimensions, as well as correct order of magnitude, vis-a-vis typical atomic size, is:JEE Main/MCQ/Medium/Dimensions
  139. 139Let [∈0]\left[{\in }_{0}\right] denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then :JEE Main/MCQ/Medium/Dimensions
  140. 140The electrical resistance RR of a conductor of length ll and area of cross section aa is given by R=ρlaR=\frac{\rho l}{a} where ' ρ\rho ' is the electrical resistivity. What is the dimensional formula for electrical conductivity ' σ\sigma ' which is reciprocal of resistivity?JEE Main/MCQ/Medium/Dimensions
  141. 141Given that K=K= energy, V=V= velocity, T=T= time. If they are chosen as the fundamental units, then what is dimensional formula for surface tension?JEE Main/MCQ/Medium/Dimensions
  142. 142The dimension of magnetic field in M,L,T\mathrm{M}, \mathrm{L}, \mathrm{T} and C\mathrm{C} (Coulomb) is given asJEE Main/MCQ/Medium/Dimensions
  143. 143Which of the following units denotes the dimensions ML2/Q2\mathrm{ML}^2 / \mathrm{Q}^2, where Q\mathrm{Q} denotes the electric charge?JEE Main/MCQ/Medium/Dimensions
  144. 144Out of the following pair, which one does NOT have identical dimensions isJEE Main/MCQ/Medium/Dimensions
  145. 145Which one of the following represents the correct dimensions of the coefficient of viscosity?JEE Main/MCQ/Medium/Dimensions
  146. 146The physical quantities not having same dimensions areJEE Main/MCQ/Medium/Dimensions
  147. 147Dimension of 1μ0ε0\frac{1}{\mu_0 \varepsilon_0}, where symbols have their usual meaning, areJEE Main/MCQ/Medium/Dimensions
  148. 148Identify the pair whose dimensions are equalJEE Main/MCQ/Medium/Dimensions
  149. 149The percentage error in the calculated volume of a sphere, if there is 2%2\% error in its diameter measurement, is __________.JEE Main/MCQ/Medium/Errors of Measurement

JEE Main question paper PDF

This chapter includes JEE Main questions. Open a shift to read the paper, or download the PDF.

JEE Main 2025 Apr 2 Shift 1 question paper

Open Download PDF

Opening paper…

Other Physics chapters

Current Electricity 380Electrostatics 311Kinematics 308Ray Optics 295Rotational Motion 280Magnetic Effects & Magnetism 276Atoms & Nuclei 239Gravitation 223Laws of Motion 210Semiconductors 209Dual Nature of Matter 200Oscillations 194Fluid Mechanics 192Wave Optics 191Alternating Current 190Thermodynamics 190Work Energy Power 183Capacitors 180Kinetic Theory 168Electromagnetic Waves 165Electromagnetic Induction 153Waves 142Center of Mass, Momentum & Collision 130Thermal Properties of Matter 126Mathematics in Physics 121Mechanical Properties of Solids 118Experimental Physics 70Magnetic Properties of Matter 57Modern Physics 5

Stuck on a Units & Dimensions question from your book?

Snap it and get a whiteboard video that solves it step by step. Your first video needs no login.

Scan a doubtView plans