QJEEM22Ph0df0: JEE Main 2022 Physics - Class 11 JEEM22Ph0df0 Solution: When a particle executes Simple Hormonic Motion, the nature of…

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When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a function of displacement will be :

Accepted Answer

Let $x = A\sin \omega t$

$\Rightarrow v = A\omega \cos \omega t$

$\Rightarrow v = \, \pm \,\omega \sqrt {{A^2} - {x^2}}$

$\Rightarrow {{{v^2}} \over {{\omega ^2}}} + {x^2} = {A^2}$

$\Rightarrow$ Ellipse

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