Q 11-13-108JEE MainJEE Main 2021 (24 Feb, Shift 2)Easy
When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is:
Answer: (B) elliptical
$v = \omega\sqrt{A^2 - x^2} \Rightarrow \dfrac{x^2}{A^2} + \dfrac{v^2}{\omega^2A^2} = 1$, which is an ellipse (a circle only in the special case $\omega = 1$).
Solution by Sreeraj P, M.Sc Physics