Magnetism Question 147

Question: If the angular momentum of an electron is $ \overrightarrow{J,} $ then the magnitude of the magnetic moment will be

[MP PET 2002]

Options:

A) $ \frac{eJ}{m} $

B) $ \frac{eJ}{2m} $

C) eJ 2m

D) $ \frac{2m}{eJ} $

Show Answer

Answer:

Correct Answer: B

Solution:

As we know for circulating electron magnetic moment $ M=\frac{1}{2}evr $ …… (i) and angular momentum $ J=mvr $ …… (ii) From equation (i) and (ii) $ M=\frac{eJ}{2m} $