Graph between velocity and displacement ...

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

A

A straight line

B

A parabola

C

A hyperbola

D

An ellipse

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The correct Answer is:

D

In simple harmonic motion
`y = a sin omega t & v = a omega cos omega t` from this we have `(y^(2))/(a^(2))+(v^(2))/(a^(2)omega^(2))=1`, which is a equation of ellipse

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