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A particle which is constrained to move ...

A particle which is constrained to move along x - axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as `F(x)=kx + ax^(3)`. Here, k and a are positive constants. For `x ge 0`, the functional form of the potential energy U (x) of the particle is

A

B

C

D

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The correct Answer is:
D
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