Magnetism Question 221

Question: If a bar magnet of pole strength m and magnetic moment M is cut perpendicular to its axis in two equal halves then its new pole strength m’ and magnetic moment M’ are respectively

Options:

A) $ m’=m $ and $ M’=M $

B) $ m’=m $ and $ M’=\frac{M}{2} $

C) $ m’=\frac{m}{2} $ and $ M’=2M $

D) $ m’=2m $ and $ M’=\frac{M}{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] When a bar magnet cut perpendicular to its axis into two equal parts then m’ = m and length $ \ell ‘=\frac{\ell }{2} $
$ \

Therefore ,,,{{M}^{’}}=m{{\ell }^{’}}=m\frac{\ell }{2}=\frac{M}{2} $