A particle of mass m is located in a one dimensional potential field where potential energy is given by : V ( x ) = A ( 1 − cos px ) , where A and p are constants. The period of small oscillations of

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A particle of mass m is located in a one dimensional potential field where potential energy is given by : V ( x ) = A ( 1 − cos px ) , where A and p are constants. The period of small oscillations of the particle is

TestHub · Accepted Answer

Hints: v x ​ = A ( 1 − cos p x ) F = − d x d u ​ = − A p sin p x For small (x) F = − AP 2 x a = − m A p 2 ​ x a = − ω 2 x ω = m A P 2 ​ ​ ∴ T = 2 π A p 2 m ​ ​

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