Magnetism Question 233

Question: A magnetic needle lying parallel to a magnetic field requires W units of work to turn it through $ 60{}^\circ $ . The torque required to maintain the needle in this position will be

Options:

A) $ \sqrt{3}W $

B) W

C) $ \frac{\sqrt{3}}{2}W $

D) 2W

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ W=MB,\cos ,60^{o} $ and $ \tau =MB,\sin ,60^{o} $
$ \

Therefore ,,,,,\tau =\sqrt{3}W $ .