JEE Main 2015 Physics question

PhysicsWork, Energy and PowerJEE Main 2015

A particle is moving in a circle of radius under the action of a force which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy for ):

Answer: (1)

Solution

For the circular orbit the force supplies the centripetal acceleration: , so and the kinetic energy is . The potential energy follows from with the attractive force of magnitude pointing inwards, so

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Question ID VK-115319