When a particle executes SHM,


When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is :

  1. circular

  2. elliptical

  3. parabolic

  4. straight line

Correct Option: , 2


For a particle executing SHM,

$x=A \sin (\omega t+\phi)$

$V=\omega A \cos (\omega t+\phi)$

$\Rightarrow \frac{\mathrm{v}^{2}}{\omega^{2} \mathrm{~A}^{2}}+\frac{\mathrm{x}^{2}}{\mathrm{~A}^{2}}=1 \Rightarrow$ equation of ellipse between $v$ and $x$

Hence option (2)

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