Magnetism Question 164

Question: A magnet of magnetic moment 20 C.G.S. units is freely suspended in a uniform magnetic field of intensity 0.3 C.G.S. units. The amount of work done in deflecting it by an angle of 30o in C.G.S. units is

[MP PET 1991]

Options:

A) 6

B) $ 3\sqrt{3} $

C) $ 3(2-\sqrt{3)} $

D) $ 3 $

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Answer:

Correct Answer: C

Solution:

Work done $ W=MB _{H}( 1-\cos \theta ) $

$ =20\times 0.3( 1-\cos 30{}^\circ )=6( 1-\frac{\sqrt{3}}{2} )=3( 2-\sqrt{3} ) $