Magnetism Question 246

Question: A bar magnet having a magnetic moment of $ 2\times 10^{4}J{{T}^{-1}} $ is free to rotate in a horizontal plane. A horizontal magnetic field $ B=6\times {{10}^{-4}}T $ exists in the space. The work done in taking the magnet slowly from a direction parallel to the field to a direction $ 60{}^\circ $ from the field is

Options:

A) 12 J

B) 6 J

C) 2 J

D) 0.6 J

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Work done $ =MB(\cos ,{\theta _{1}}-\cos ,{\theta _{2}}) $

$ =MB(\cos ,0^{o}-\cos ,60^{o}) $

$ =MB( 1-\frac{1}{2} )=\frac{2\times 10^{4}\times 6\times {{10}^{-4}}}{2}=6,J $