Q.

Graph between velocity and displacement of a particle, executing S.H.M. is

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a

A straight line

b

A parabola

c

A hyperbola

d

An ellipse

answer is D.

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Detailed Solution

In simple harmonic motion y=asinωt and v=aωcosωt from this we have y2a2+v2a2ω2=1 , which is a equation of ellipse.
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Graph between velocity and displacement of a particle, executing S.H.M. is