Q155 / 160 · TS EAMCET 2023 (12 May Shift 1) · Physics

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

A
$\frac{h}{\pi}$
Correct answer
B
$\frac{2h}{\pi}$
C
$\frac{4h}{\pi}$
D
$\frac{h}{2\pi}$

Solution

Given, $\mathrm{n}=4$ $\begin{aligned} & \text { Angular momentum, } \mathrm{L}=\mathrm{n} \frac{\mathrm{h}}{2 \pi} \\ & =4 \times \frac{\mathrm{h}}{2 \pi} \\ & =\frac{2 \mathrm{~h}}{\pi} \end{aligned}$

Hence, the correct answer is option: 'B'.

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