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Potential energy of a system of particle...

Potential energy of a system of particles is `U(alpha)/(3r^(3))-(beta)/(2r^(2)),` where r is distance between the particles. Here `alpha and beta` are positive constants. Which of the following are correct for the system?

A

Equlibrium separation between the particles is `(alpha)/(beta)`

B

For `r=(alpha)/(beta),` the equlibrium is stable

C

For `r=(alpha)/(beta),` the equlibrium is unstable

D

Work required to slowly move the particles to infinite separation from initial equlibrium position is `(beta)/(alpha)`

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The correct Answer is:
A, C
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