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Questions  

Under the action of a force F =-kx3, the motion of a particle is (k = a positive constant)

a
simple harmonic motion
b
uniformly accelerated motion
c
not periodic
d
periodic but not simple harmonic

detailed solution

Correct option is D

At x = 0, F = 0. For x > 0, force is in negative direction and for x < 0, force is in positive x-direction. Therefore,motion of the particle is periodic about mean position x = 0.

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