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A particle which is constant to move alo...

A particle which is constant to move along the `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)` . Hero `K` and `a` are positive constant . For `x ge 0`, the fanctional from of the patential every `U(x) of the particle is

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A
Change in potential energy is,
`dU= -Fdx= (-b)/(x^(2) )dx`
`therefore U=-b [(x^(-2+1))/(-2 + 1)]+c` or `U= (b)/(x) +c`
which represents a hyperbola.
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