Question

A particle executes SHM. The graph between velocity and acceleration is

• A. a straight line
• B. a circle
• C. an ellipse
• D. a hyperbola

Answer 1

The correct option is C an ellipse

$v=-A\omega sin\omega ta=-A{\omega }^{2}cos\omega t$
$\therefore {\left(\frac{\nu }{A\omega }\right)}^2+{\left(\frac{a}{A{\omega }^2}\right)}^2=1$
$\therefore$ graph of $nu$ against a is an ellipse.