Q. The amplitude of a damped oscillator becomes $\left( \frac{1}{3} \right)$ rd in 2 s. If its amplitude after 6 s is $\frac{1}{n}$ times the original amplitude, the value of $n$ is
A) $3^{2}$
B) $3\sqrt{2}$
C) $3\sqrt{3}$
D) $3^{3}$
Explanation
(d) We have
$A = A_{0}e^{\frac{bt}{2m}}$
In this case after 6 s amplitude becames $\frac{1}{27}$ times.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.