Magnetic Effects Of Current Question 246
Question: An electron is revolving in a circular orbit of radius r in a hydrogen atom. The angular momentum of the electron is The dipole moment associated with it is
Options:
A) $ (2e/m),l $
B) $ (e/2m),l $
C) $ (e/m),l $
D) $ (2m\text{/}e),l $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] M = IA $ M=\frac{e}{T}\pi r^{2} $ $ M=\frac{ev}{2\pi r}\times \pi r^{2} $ $ M=\frac{evr}{2} $ But $ l=mvr $ Or $ r=\frac{l}{mv} $
$ \therefore M=\frac{ev}{2}\times \frac{l}{mv} $ or $ M=\frac{e}{2m}l $
BETA
