Question

The potential energy of a particle executing SHM changes from maximum to minimum is $5\text{sec}$. Then the time period of SHM is

• A. $5\text{s}$
• B. $10\text{s}$
• C. $15\text{s}$
• D. $20\text{s}$

Answer 1

The correct option is D $20\text{s}$

Potential energy is maximum at the extreme position and minimum at the mean position.

At mean position all P.E gets converted to kinetic energy i.e. $v=v_{max}$

$\Rightarrow$ time to go from extreme position to mean position is t = $\frac{T}{4}$.
Where $T$ is time period of SHM.

So, from question,

$\Rightarrow 5\text{sec}=\frac{T}{4}$

$\Rightarrow T=20\text{sec}$

So, $\left(d\right)$ is the correct answer.