Question

A particle of mass $m$ is executing oscillation about the origin on X-axis. Its potential energy is $V(x) = K|x|^3$. Where $K$ is a positive constant. If the amplitude of oscillation is $a$, then its time period $T$ is proportional to

• A. $\frac {1}{\sqrt a}$
• B. $a$
• C. $\sqrt a$
• D. $a^{\frac 32}$

Answer 1

Answer: (A)

$\frac {1}{\sqrt a}$

Answer 2

The correct option is (A): $\frac {1}{\sqrt a}$.