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NEET 1995 (AIPMT) · Energy in SHM

Energy in SHM question from NEET 1995 (AIPMT)

Q83NEET 1995 · AIPMTEasy

Energy in SHM

In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic?

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Answer: (b)

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

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