Q. The displacement of a particle along the $x$ axis is given by $x = a\sin^{2}{\omega t.}$ The motion of the particle corresponds to
A) Simple harmonic motion of frequency $\omega/2\pi$
B) Simple harmonic motion of frequency $\omega/\pi$
C) Simple harmonic motion of frequency $3\omega/2\pi$
D) Non simple harmonic motion
Explanation
(d) $x = a\sin^{2}{\omega t = \frac{a}{2}(1 - \cos{2\omega t})}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.