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JEE Main 2022 (26 Jul, Shift 1) · Velocity & Acceleration in SHM

Velocity & Acceleration in SHM question from JEE Main 2022 (26 Jul, Shift 1)

Q49JEE Main 2022 · 26 JUL · SHIFT 1Easy

Velocity & Acceleration in SHM

When a particle executes Simple Harmonic Motion, the nature of graph of velocity as a function of displacement will be:

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Answer: (b)

$v = \omega\sqrt{A^2 - x^2} \Rightarrow v^2 = \omega^2(A^2 - x^2)$ .
$\frac{x^2}{A^2} + \frac{v^2}{\omega^2A^2} = 1$ , an ellipse with semi-axes $A$ and $\omega A$ .
So the answer is (b) Elliptical.

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