Solveeit Logo

Question

Question: A particle executes SHM with frequency f, what is frequency of oscillation of potential energy?...

A particle executes SHM with frequency f, what is frequency of oscillation of potential energy?

A

f/2

B

f

C

2f

D

1.5 f

Answer

2f

Explanation

Solution

U = 12\frac{1}{2}2x2 = 12\frac{1}{2}2 A2 sin2 (ωt + α), sin2 (ωt + α) is eriodic function with period π/ω i.e frequency ω/π

= 2ω2π\frac{2\omega}{2\pi} = 2f.