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Q.

In the figure, a positively charged small sphere of mass m and the charge q starts sliding from rest on a vertical fixed circular smooth track of radius R from the position A shown. There exist a uniform magnetic field of B. Find the maximum force exerted by track on the sphere during its motion.

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a

Nmax  =  2mg + qB 2gR

b

Nmax  =  3mg + qB 2gR

c

Nmax  =  3mg + 2qB 2gR

d

Nmax  =  3mg + qB gR

answer is B.

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Detailed Solution

Maximum force will be at lowest point.Magnetic force will not do any work.Velocity at lowest point: v=2gRN−mg−qvB=mac  ⇒  N=mg+mv2R  +qBv⇒   N=3 mg  +  qB  2gR
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