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Question: In the figure a charged sphere of mass m and charge q starts sliding from rest on a vertical fixed c...

In the figure a charged sphere of mass m and charge q starts sliding from rest on a vertical fixed circular track of radius R from the position shown. There exists a uniform and constant horizontal magnetic field of induction B. The maximum force exerted by the track on the sphere is

A

mg

B

3mg – qB

C

3mg + qB

D

mg – qB

Answer

3mg – qB

Explanation

Solution

Fm = qvB, and directed radially inward.

N - mg sin θ + qvB = ⇒ N

=

Hence at θ = π/2

.

Hence (2) is correct