Q73 / 90 · JEE Main 2021 (26 Feb Shift 2) · Physics

A particle executes S.H.M., the graph of velocity as a function of displacement is :

A
a circle
B
a helix
C
a parabola
Correct answer
D
an ellipse

Solution

$v^{2} = ω^{2} (A^{2} - x^{2})$

$\frac{v^{2}}{ω^{2}} + x^{2} = A^{2}$
$\frac{v^{2}}{{(ω A)}^{2}} + \frac{x^{2}}{A^{2}} = 1$

This is an equation of an ellipse.

Hence, the correct answer is option: 'D'.

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