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A particle of mass m is placed in a potential field where the potential energy as a function of co-ordinate is given as $U = A {1 − cos (β y)}$ where A and $β$ are constants. The time period of small oscillations that the particle performs about the equilibrium position is

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2 π m A β 2

2 π A β 2 m

2 π A 2 β m

2 π m A 2 β

answer is A.

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Detailed Solution

F = − d U d y = − A β sin (β y) = − A β 2 y

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