Q. A simple harmonic oscillator has a period T and energy E. the amplitude of the oscillator is doubled. Choose the correct answer.
A) Period and energy get doubled
B) Period gets doubled while energy remains the same
C) Energy gets double while period remains the same
D) Period remains the same and energy becomes four times
Explanation
(d) Time period of harmonic oscillator is independent of the amplitude of oscillation. Energy of oscillation is
$E = \frac{1}{2}m\omega^{2}a^{2}\ \ ie,\ E \propto a^{2}$
So if $a$ is double, $E$ becomes four times.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.