Magnetism Question 132

Question: A bar magnet is oscillating in the earth’s magnetic field with time period T. If its mass is increased four times then its time period will be

[J & K CET 2004]

Options:

A) 4 T

B) 2 T

C) T

D) T/2

Show Answer

Answer:

Correct Answer: B

Solution:

$ T=2\pi \sqrt{\frac{I}{M\ B _{H}}} $ ; where $ I=\frac{\text{w}(L^{2}+b^{2})}{12} $ (w =Mass of magnet)
$ \Rightarrow T\propto \sqrt{W}, $ If $ \text{w}\to $ four times then $ T\to $ Two times