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MHT CET Physics question

PhysicsMoving Charges and MagnetismMHT CET

A particle of charge and mass is moving with constant speed and perpendicular to a constant magnetic field follows circular path. If the angular momentum about the centre of this circle is quantized so that , then the allowed radii for the particle are given by

Answer: (A)

Solution

Magnetic force gives , so ; then gives

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Question ID VK-084616