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

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an ellipse

a circle

a helix

a parabola

answer is A.

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Detailed Solution

$\begin{array}{l} V = ω \sqrt{A^{2} - x^{2}} \\ \Rightarrow \frac{V^{2}}{(ω A)^{2}} + \frac{x^{2}}{A^{2}} = 1 \\ This equation represents ellipse. \end{array}$

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