Oscillations

JEE Main level, single correct, medium

43 of 194

Question 43 of 194

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

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Answer: (D) an ellipse

v2=ω2(A2−x2){v}^{2}={\omega }^{2}\left({A}^{2}-{x}^{2}\right)
v2ω2+x2=A2\dfrac{{v}^{2}}{{\omega }^{2}}+{x}^{2}={A}^{2}
v2(ωA)2+x2A2=1\dfrac{{v}^{2}}{{\left(\omega A\right)}^{2}}+\dfrac{{x}^{2}}{{A}^{2}}=1
This is an equation of an ellipse.

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