Magnetism Question 91

Question: A bar magnet A of magnetic moment MA is found to oscillate at a frequency twice that of magnet B of magnetic moment MB when placed in a vibrating magneto-meter. We may say that

[MP PMT 1991]

Options:

A) $ M _{A}=2M _{B} $

B) $ M _{A}=8M _{B} $

C) $ M _{A}=4M _{B} $

D) $ M _{B}=8M _{A} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ \nu =\frac{1}{2\pi }\sqrt{\frac{MB _{H}}{I}}\Rightarrow \nu \propto \sqrt{M} $
$ \Rightarrow \frac{{\nu _{A}}}{{\nu _{B}}}=\sqrt{\frac{M _{A}}{M _{B}}}\Rightarrow \frac{2}{1}=\sqrt{\frac{M _{A}}{M _{B}}}\Rightarrow M _{A}=4M _{B} $