The potential energy of a body is given by

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The potential energy of a body is given by, $U =A - B{x^2}$(Where x is the displacement). The magnitude of force acting on the particle is

A

Constant

B

Proportional to $x$ 

C

Proportional to ${x^2}$

D

Inversely proportional to $ x$ 

The potential energy of a body is given by, $U =A - B{x^2}$(Where x is the displacement). The magnitude of force acting on the particle is

$U = A - B{x^2}$

==> $F = - \frac{{dU}}{{dx}} = 2Bx$

==> $F \propto x$