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Oscillations

JEE Main level, single correct, medium

89 of 194

Question 89 of 194

In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the particle is midway between mean and extreme position.

Show answer and solution

Answer: (B) $\dfrac{3}{4}$

K=\dfrac{1}{2}m{\omega }^{2}\left({A}^{2}-{x}^{2}\right)

=\dfrac{1}{2}m{\omega }^{2}\left({A}^{2}-\dfrac{{A}^{2}}{4}\right)

=\dfrac{1}{2}m{\omega }^{2}\left(\dfrac{3{A}^{2}}{4}\right)

K=\dfrac{3}{4}\left(\dfrac{1}{2}m{\omega }^{2}{A}^{2}\right)

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Oscillations (Energy of Simple Harmonic Motion), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.