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Q.

A positive charge q is distributed over a circular ring of radius a. It is placed in a horizontal plane and is rotated about it axis at a uniform angular speed ω. A horizontal magnetic field B exists in the space. The torque acting on the ring due to the magnetic force is 

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a

qωa2B

b

12qω2aB

c

12qωa2B

d

12qωaB

answer is A.

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Detailed Solution

Using torque,

 τ=M×B=IA×B=qt×πa2 ×B

τ=qω2π×πa2×B   ω=2πt or, t=2πω

 τ=12qωa2B

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