Magnetism Question 238

Question: A magnet of magnetic moment $ 50\hat{i}A-m^{2} $ is placed along the x-axis in a magnetic field $ \overset{\to }{\mathop{B}}=(0.5\hat{i}+3.0\hat{j})T $ . The torque acting on the magnet is

Options:

A) $ 175\hat{k}N-m $

B) $ 150\hat{k}N-m $

C) $ 75\hat{k}N-m $

D) $ 25\sqrt{37}\hat{k}N-m $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ \overset{\to }{\mathop{\tau }}=\overset{\to }{\mathop{M}}\times \overset{\to }{\mathop{B}}=50\hat{i}\times (0.5\hat{i}+3\hat{j})=150\hat{k}N-m $