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

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

PhysicsOscillationsJEE MainJEE Main 2021 (26 Feb Shift 2)

Options:

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

Solution:

1944 Upvotes Verified Answer

The correct answer is: an ellipse

$v^{2} = ω^{2} (A^{2} - x^{2})$

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

This is an equation of an ellipse.

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