Magnetism Question 173

Question: A magnet of magnetic moment M is situated with its axis along the direction of a magnetic field of strength B. The work done in rotating it by an angle of 180o will be

[MP PMT 1985; MP PET 1997]

Options:

A) $ -MB $

B) $ +MB $

C) 0

D) $ +2MB $

Show Answer

Answer:

Correct Answer: D

Solution:

Work done $ MB(\cos {\theta _{1}}-\cos {\theta _{2}}) $

$ {\theta _{1}}=0^{o} $ and $ {\theta _{2}}=180^{o} $
$ \Rightarrow W=MB( \cos 0-\cos 180 )=2MB $