Q. The equation of a damped simple harmonic motion is $m\frac{d^{2}x}{dt^{2}} + b\frac{dx}{dt} + kx = 0.$ Then the angular frequency of oscillation is
A) $\omega = \left( \frac{k}{m} - \frac{b^{2}}{4m^{2}} \right)^{1/2}$
B) $\omega = \left( \frac{k}{m} - \frac{b}{4m} \right)^{1/2}$
C) $\omega = \left( \frac{k}{m} - \frac{b^{2}}{4m} \right)^{1/2}$
D) $\omega = \left( \frac{k}{m} - \frac{b^{2}}{4m^{2}} \right)$
Explanation
The correct answer is Option A: $\omega = \left( \frac{k}{m} - \frac{b^{2}}{4m^{2}} \right)^{1/2}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.