Q. The periodic time of a particle doing simple harmonic motion is 4 s. The taken by it to go from its mean position to half the maximum displacement (amplitude)
A) $2s$
B) $1s$
C) $\frac{2}{3}s$
D) $\frac{1}{3}s$
Explanation
(d) $y = A\sin{\left( \frac{2\pi}{T} \right)t}$
$\Rightarrow \ \ \ \ \ \ \ \frac{A}{2} = A\sin{\left( \frac{2\pi}{T} \right)t}$
$\frac{\pi t}{2} = \frac{\pi}{6}$
$t = \frac{1}{3}$ s
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.