JEE PYQ: Oscillations Question 10
Question 10 - 2021 (24 Feb 2021 Shift 2)
When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is:
(1) elliptical
(2) parabolic
(3) straight line
(4) circular
Show Answer
Answer: (1)
Solution
$v = \omega\sqrt{A^2 - x^2}$. $\frac{v^2}{\omega^2 A^2} + \frac{x^2}{A^2} = 1$. This is the equation of an ellipse.