Q. Graph between velocity and displacement of a particle, executing S.H.M. is
A) A straight line
B) A parabola
C) A hyperbola
D) An ellipse
Explanation
(d) In simple harmonic motion
$y = a\sin{\omega t}$ and $v = a\omega\cos{\omega t}$ from this have $\frac{y^{2}}{a^{2}} + \frac{v^{2}}{a^{2}\omega^{2}} = 1,$ which is a equation of ellipse
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.