Question

The time period of the variation of potential energy of a particle executing $SHM$ with period $T$ is

• A. $\frac{T}{4}$
• B. T
• C. 2T
• D. $\frac{T}{2}$

Answer 1

Answer: (D)

$\frac{T}{2}$

Answer 2

In a complete cycle of SHM, potential energy varies for half the cycle and kinetic energy varies for the other half of the cycle. Thus, for a time period T, the potential energy varies for $\, \, \, \frac{T}{2}time$