A body executes simple harmonic motion with frequency n. The frequency of its potential energy is:
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Question

A body executes simple harmonic motion with frequency n. The frequency of its potential energy is:

G1 Physics · Accepted Answer

Step 1: Displacement is x = A sin(ωt + φ). Step 2: Potential energy U = ½kx² = ½kA²sin²(ωt + φ). Step 3: Using sin²θ = [1 − cos(2θ)]/2 gives U = (kA²/4)[1 − cos(2ωt + 2φ)]. Step 4: The energy varies at angular frequency 2ω, so its ordinary frequency is 2n. Final answer: (B) 2n.