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Q.

A coil in the shape of an equilateral triangle of side 0.02 m is suspended from vertex such that it is hanging in a vertical plane between the pole-pieces of a permanent magnet producing a horizontal magnetic field of 5×102T. Current in loop is 0.1 A. Then

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a

magnetic moment of the loop is 3×105Am2

b

magnetic moment of the loop is 1×106Am2

c

couple acting on the coil is 53×107N-m

d

couple acting on the coil is 3×107Nm

answer is A, C.

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Detailed Solution

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Area of triangular loop =12×l×lsin60°  =3×104 m2
So, magnetic moment,  M=iA=0.1×3×104 =3×105A-m2
Hence choice (a) is correct and choice (b) is wrong.
Couple acting on loop τ=MBsinθ  =(3×105)(5×102)×sin90° 

=53×107 N-m
Hence, choice (c) is correct and choice (d) is wrong.
 (a) and (c) are correct.

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