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Question: Answered & Verified by Expert
If an electron is moving in the $4^{\text {th }}$ orbit of the hydrogen atom then the angular momentum of the electron in SI units is
PhysicsAtomic PhysicsTS EAMCETTS EAMCET 2023 (12 May Shift 1)
Options:
  • A $\frac{h}{\pi}$
  • B $\frac{2h}{\pi}$
  • C $\frac{4h}{\pi}$
  • D $\frac{h}{2\pi}$
Solution:
2084 Upvotes Verified Answer
The correct answer is: $\frac{2h}{\pi}$
Given, $\mathrm{n}=4$
$\begin{aligned}
& \text { Angular momentum, } \mathrm{L}=\mathrm{n} \frac{\mathrm{h}}{2 \pi} \\
& =4 \times \frac{\mathrm{h}}{2 \pi} \\
& =\frac{2 \mathrm{~h}}{\pi}
\end{aligned}$

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