Question

An electron in $2^{nd}$ orbit gains energy and goes to $4^{th}$ orbit. What are the differences in angular momentums experienced by the electron due to the transition?

• A. $\frac{2h}{\pi }$
• B. $\frac{h}{2\pi }$
• C. $\frac{h}{\pi }$
• D. $\frac{3h}{4\pi }$

Answer 1

Answer: (C)

$\frac{h}{\pi }$

Angular momentum of electron in $2^{nd}orbit=\frac{2h}{2\pi }$

Angular momentum of electron in $4^{th}orbit=\frac{4h}{2\pi }$

Difference in angular momentum due to excitation of electron from $2^{nd}$ orbit to $4^{th}$ orbit = $\frac{4h}{2\pi }-\frac{2h}{2\pi }=\frac{2h}{2\pi }=\frac{h}{\pi }$