JEE Mains · Physics · STD 12 - Atoms
- JEE Mains 2025
- Medium
- MCQ
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 :
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) Statement I is correct but Statement II is incorrect
Step-by-step Solution
Detailed explanation
\(\begin{aligned}
& \mathrm{E}=\mathrm{hf} \\
& \mathrm{ML}^2 \mathrm{~T}^{-2}=[\mathrm{h}] \times\left[\mathrm{T}^{-1}\right] \\
& {[\mathrm{h}]=\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]} \\
& \mathrm{L}=[\mathrm{MVR}]=\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right] \\
& \mathrm{L}=\frac{\mathrm{nh}}{2 \pi}
\end{aligned}\)
L is integral multiple of \(\frac{\mathrm{h}}{2 \pi}\)
& \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}
\end{aligned}\)
L is integral multiple of \(\frac{\mathrm{h}}{2 \pi}\)
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