Magnetism Question 175

Question: A bar magnet of length 10 cm and having the pole strength equal to 10?3 weber is kept in a magnetic field having magnetic induction equal to $ 4\pi \times {{10}^{-3}} $ Tesla. It makes an angle of 30o with the direction of magnetic induction. The value of the torque acting on the magnet is

[MP PMT 1993]

Options:

A) $ 2\pi \times {{10}^{-7}}N\times m $

B) $ 2\pi \times {{10}^{-5}}N\times m $

C) $ 0.5N\times m $

D) $ 0.5\times 10^{2}N\times m $ ( $ {\mu _{0}}=4\pi \times {{10}^{-7}}weber/amp\times m $ )

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Answer:

Correct Answer: A

Solution:

Torque $ \tau =MB _{H}\sin \theta $

$ =0.1\times {{10}^{-3}}\times 4\pi \times {{10}^{-3}}\times \sin 30^{o}={{10}^{-7}}\times 4\pi \times \frac{1}{2} $

$ =2\pi \times {{10}^{-7}}N\times m $