Magnetism Question 272

Question: A 30 cm long bar magnet is placed in the magnetic meridian with its north pole pointing south. The neutral point is obtained at a distance of 40cm from the center of the magnet. Find the pole strength of the magnet. The horizontal component of earth’s magnetic field is 0.34 gauss.

Options:

A) 25.7 Am

B) 23.7 Am

C) 28.7 Am

D) 26.7 Am

Show Answer

Answer:

Correct Answer: D

Solution:

[d]
$ \

Therefore ,,,,,,M=\frac{4\pi }{{\mu _{0}}}\frac{B _{H}{{(r^{2}-{{\ell }^{2}})}^{2}}}{2r} $

$ =10^{7}\times \frac{(0.34\times {{10}^{-4}}).{{[{{(0.40)}^{2}}-{{(0.15)}^{2}}]}^{2}}}{2\times 0.40} $

$ =8.0,Am^{2} $ The pole strength of the magnet is, $ m=\frac{M}{2\ell }=\frac{8.0}{0.30}=26.7,Am $