Question

Find orbital angular momentum for 2s and 2p energy levels

(1)  \(0, \frac{\text{h}}{(\sqrt2)\pi}\)

(2)  \(0, \frac{\text{h}}{\sqrt{2 \pi}}\)

(3) \(\frac{\text{h}}{\pi} , \frac{\text{h}}{\pi}\)

(4) \(0, \frac{\text{h}}{2\pi}\)

Answer 1

Correct option is : (1) \(0, \frac{\text{h}}{\left(\sqrt{2}\right)\pi}\) 

\(\text{Orbital angular momentum} = \frac{h}{2 \pi} \sqrt{l( l+1)}\) 

For 2s l = 0

Orbital angular momentum = 0

For 2p I = 1 \(\Rightarrow \frac{\text{h}}{2\pi} \sqrt{l (l+1)}\)

\(\frac{\text{h}}{\left(\sqrt{2}\right)\pi}\)