Question

If the angular momentum in the second orbit of a hydrogen atom is $L$, the angular momentum of the electron in its third orbit will be:

• A. $L$
• B. $3L$
• C. $3/2L$
• D. $2/3L$

Answer 1

Answer: (C)

$3/2L$

Angular momentum in nth orbit $L_n=\frac{nh}{2\pi }$

Given : $L_2=L$

$\therefore$ $L=\frac{2h}{2\pi }$ ........(1)

Angular momentum in 3rd orbit $L_3=\frac{3h}{2\pi }=\frac{3L}{2}$ (using 1)