1. Tardigrade
  2. Question
  3. Physics
  4. A particle executes S.H.M., the graph of velocity as a function of displacement is :-

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

JEE MainJEE Main 2021Oscillations

Solution:

$v ^{2}=\omega^{2}\left( A ^{2}- x ^{2}\right)$
$\frac{ v ^{2}}{\omega^{2}}+ x ^{2}= A ^{2}$
$\frac{ v ^{2}}{(\omega A )^{2}}+\frac{ x ^{2}}{ A ^{2}}=1$
This is an equation of an ellipse.