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Question

Physics Question on momentum

The orbital angular momentum of a p-electron is given as

A

h2π\frac{h}{\sqrt{2}\pi}

B

3h2π\sqrt{3} \frac{h}{2 \pi}

C

32hπ\sqrt{\frac{3}{2}} \frac{h}{\pi}

D

6h2π\sqrt{6} \frac{h}{2 \pi}

Answer

h2π\frac{h}{\sqrt{2}\pi}

Explanation

Solution

Orbital angular momentum (m)(m)
=l(l+1)h2π= \sqrt{l(l+1)} \frac{h}{2 \pi}
For pp-electron; l=1l = 1
Thus, m=1(1+1)h2π=2h2π=h2πm = \sqrt{1\left(1+1\right)} \frac{h}{2\pi}= \frac{\sqrt{2}h}{2\pi} = \frac{h}{\sqrt{2}\pi}