The variation of displacement with time of a particle executing free… | JEE Main 2021 (27 Aug, Shift 1)

Q59JEE Main 2021 · 27 AUG · SHIFT 1Easy

Energy in SHM

The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure.

The potential energy U(x) versus time (t) plot of the particle is correctly shown in figure:

Show answer and solution

Answer: (d)

From the graph $x = A\sin\omega t$ , zero at O, A, B, C.
$U = \frac{1}{2}kx^2 = \frac{1}{2}kA^2\sin^2\omega t$ , never negative.
U is zero at O, A, B, C and maximum midway between them (humps of period $T/2$ ).
So the answer is (d).

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