Q. 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 $x$
Explanation
(b) $U = A - Bx^{2} \Rightarrow F = - \frac{dU}{dx} = 2Bx \Rightarrow F \propto x$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.