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JEE Main 20254 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
4 April
Shift
Evening Shift
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2025 · 4 April · Evening Shift · Physics · Units and Dimensions

Given below are two statements : Statement (I) : The dimensions of...

Given 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 :

Options

  1. ABoth Statement I and Statement II are correct
  2. BStatement I is incorrect but Statement II is correct
  3. CStatement I is correct but Statement II is incorrect
  4. DBoth Statement I and Statement II are incorrect

Correct answer

C. Statement I is correct but Statement II is incorrect

Step-by-step solution

<br/>E=hfML2 T−2=[h]×[T−1][h]=[ML2 T−1]L=[MVR]=[ML2 T−1]L=nh2π<br/>\begin{aligned}<br/>& \mathrm{E}=\mathrm{hf} \\ & \mathrm{ML}^2 \mathrm{~T}^{-2}=[\mathrm{h}] \times\left[\mathrm{T}^{-1}\right] \\ & {[\mathrm{h}]=\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]} \\ & \mathrm{L}=[\mathrm{MVR}]=\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right] \\ & \mathrm{L}=\frac{\mathrm{nh}}{2 \pi}<br/>\end{aligned}
L is integral multiple of h2π\frac{\mathrm{h}}{2 \pi}
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