The potential energy of a body is given by `U = A - Bx^(2)` (where x is the displacement). The magnitude of force acting on the partical is

Options

A. inversely proportional to x
B. proportional to `x^(2)`
C. proportional to `x^(2)`
D. constant

Answer

C

Explanation

`F = -(du)/(dx)`
`F = - d/(dx) (A-Bx^(2))`
`F = 0+2Bx`
`F prop x`