Question

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

• A. A circle
• B. A parabola
• C. An ellipse
• D. A helix

Answer 1

Answer: (C)

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