MHT CET 2022 Physics question

PhysicsOscillationsMHT CET 2022

A sphere of radius 'r' is kept on a concave mirror of radius of curvature 'R'. The arrangement is kept on a horizontal table. If the sphere is displaced from equilibrium position and left, then it executes S.H.M. The period of oscillation will be (g = acceleration due to gravity)

Answer: (C)

Solution

The centre of the sphere moves on a circle of radius . For small angular displacement (from the lowest point) of the line joining the centres, take the sphere to roll without slipping. Energy: with , $ω =

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Question ID VK-094244