Question

A particle is executing SHM. Then, the graph of velocity as a function of displacement is a/an

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

Answer 1

Answer: (C)

From the relation, $v^2={\omega }^2(a^2-x^2)$ $\Rightarrow$ $v^2+{\omega }^2{x}^2={\omega }^2{a}^2$ $\Rightarrow$ $\frac{v^2}{a^2{\omega }^2}+\frac{x^2}{a^2}=1$ which is the equation of an ellipse.