Q. Two identical pendulum are oscillating with amplitudes 4 cm and 8 cm. the ratio of their energies of oscillation will be
A) $1/3$
B) $\frac{1}{4}$
C) $\frac{1}{9}$
D) $\frac{1}{2}$
Explanation
(b) Total mechanical energy in case of oscillation
$E = \frac{1}{2}m\omega^{2}A^{2}$
$\frac{E_{1}}{E_{2}} = \left\lbrack \frac{4}{8} \right\rbrack^{2} = \frac{1}{4}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.