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