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JEE Main 2021 (25 Jul, Shift 2) · Energy in SHM

Energy in SHM question from JEE Main 2021 (25 Jul, Shift 2)

Q56JEE Main 2021 · 25 JUL · SHIFT 2Easy

Energy in SHM

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.

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Answer: (b)

Midway means $x = A/2$ , so $\frac{PE}{E} = \frac{x^2}{A^2} = \frac{1}{4}$ .
$\frac{KE}{E} = 1 - \frac{1}{4} = \frac{3}{4}$
So the answer is (b) $\frac{3}{4}$ .

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