Question

Total energy of a particle having a displacement ${}^{\prime }{x}^{\prime }$ executing simple harmonic motion is

• A. proportional to $x$
• B. proportional to $x^2$
• C. Independent of $x$
• D. proportional to $x^{1/2}$

Answer 1

The correct option is C Independent of $x$

Total energy of particle executing SHM $\left(E\right)=\frac{1}{2}m{\omega }^2{A}^2+U_{mean}$
Where $U_{mean}$ is the $\text{(}PE)$ at mean position
$\therefore$ It is independent of $x$.
Hence, option (c) is correct.