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JEE Main 2015 Physics question

PhysicsMoving Charges and MagnetismJEE Main 2015

If one were to apply the Bohr model to a particle of mass and charge moving in a plane under the influence of a magnetic field 'B', the energy of the charged particle in the level will be:

Answer: (2)

Solution

The magnetic force supplies the centripetal force: , so . Bohr's quantisation of angular momentum gives . Substituting , , so . The energy is

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Question ID VK-115251