Question

Which graph (s) can represent the potential energy of the spring and mass as a function of distance x?

• A. I only
• B. I and II only
• C. II only
• D. III only
• E. II and III only

Answer 1

The correct option is A I only

Potential energy of the spring-mass system is equal to $\frac{1}{2}k{x}^2$

where $x$ is the displacement of mass from the mean position, that is, O.

Hence the graph would be symmetric about a vertical line passing through O and would follow a quadratic variation with $x$.

Hence correct representation is in figure I.