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The potential energy of a particle of ma...

The potential energy of a particle of mass `0.02` `kg` moving along `x`-axis is given by `V` `=` `Ax(x - 4)` `J` where `x` is in metres and `A` is a constant. Which of the following is/are correct statement (s)?

`(A)` The particle is acted upon by a constant force.
`(B)` The particle executes simple harmonic motion.
`(C)` The speed of the particle is maximum at `x = 2` `m.`
`(D)` The period of oscillation of the particle is `pi/5` sec.

A

The particle is acted upon by a constant force.

B

The particle executes simple harmonic motion.

C

The speed of the particle is maximum at x = 2 m.

D

The period of oscillation of the particle is `pi/5` sec.

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