Question

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 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 $x$

Force on the particle $=-\frac{dU}{dx}$

$\Rightarrow F=2BX$

From the above equation: $F\propto X$