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 $y = \pm \frac{a}{2}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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