STANDARDPhysics-Oscillations

STANDARD Physics Simple Harmonic Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

For a particle executing simple harmonic motion the displacement x is given by x = A cos ωt. Identify the graph, which represents the variation of potential energy (U) as a function of time t and displacement x.

Question diagram
A

I, III

B

II, III

C

I, IV

D

II, IV

Correct Answer

Option D

Detailed Explanation

Given x = A cos ωt, the potential energy U = 1/2 mω²x² = 1/2 mω²A² cos² ωt. The graph between potential energy U and time t is curve II, and between U and x is curve IV.

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