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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.


Learning Progress: Step 10 of 43 in this series