Q.
A particle is executing SHM with amplitude a. when the PE of a particle is one-fourth of its maximum value during the oscillation, its displacement from the equilibrium position will be
A) a/4
B) a/3
C) a/2
D) 2a/3
Explanation
(c) PE$= \frac{1}{2}m\omega^{2}y^{2} = \frac{1}{4} \times \frac{1}{2}m\omega^{2}a^{2}$
or $y^{2} = \frac{a^{2}}{4}$
or $y = \pm \frac{a}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.