Magnetism Question 190

Question: A bar magnet of magnetic moment 104J/T is free to rotate in a horizontal plane. The work done in rotating the magnet slowly from a direction parallel to a horizontal magnetic field of 4×10?5 T to a direction 60° from the field will be

[MP PET 1995]

Options:

A) 0.2 J

B) 2.0 J

C) 4.18 J

D) 2 × 102 J

Show Answer

Answer:

Correct Answer: A

Solution:

Magnetic moment of bar $ M=10^{4}J/T $

$ B=\frac{{\mu _{0}}}{4\pi }.\frac{2\sqrt{2}M}{d^{3}} $ Hence work done $ W=\overrightarrow{M}.\overrightarrow{B} $

$ =10^{4}\times 4\times {{10}^{-5}}\times \cos 60^{o}=0.2\ J $