MCQ
In the lowest energy level of hydrogen atom, electron has an angular momentum equal to :
  • A
    $\frac{\pi}{\text{h}}$
  • B
    $\frac{\text{h}}{\pi}$
  • $\frac{\text{h}}{2\pi}$
  • D
    $\frac{2\pi}{\text{h}}$

Answer

Correct option: C.
$\frac{\text{h}}{2\pi}$
The angular momentum $L = \ce{m_e​vr}$ is on integer multiple of $\frac{\text{h}}{2\pi}$
$\text{mvr}=\frac{\text{nh}}{2\pi}$
For $, n = 1$
$\text{mvr}=\frac{\text{h}}{2\pi}$

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