Question

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

Answer 1

The correct option is B Proportional to x

$U=A-B{x}^2\Rightarrow =-\frac{dU}{dx}=2Bx\Rightarrow F\propto x$