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The potential energy of a particle in a ...

The potential energy of a particle in a conservative field is `U =a/r^3-b/r^2, where a and b are positive constants and r is the distance of particle from the centre of field. For equilibrium, the value of r is

A

2a/b

B

`3a/(2b)`

C

`a/2b`

D

`a/b`

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Knowledge Check

  • A system consits of a uniformly charged sphere of radius R and a surrounding medium filled by a charge with the volume density rho=alpha/r , where alpha is a positive constant and r is the distance from the centre of the sphere. Find the charge of the sphere for which the electric field intensity E outside the sphere is independent of R.

    A
    `alpha/(2epsilon_(0))`
    B
    `2/(alphaepsilon_(0))`
    C
    `2pialphaR^(2)`
    D
    None of these

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