Question

A particle executes S H.M. from an extreme position and covers a distance equal to half of its amplitude from the extreme position in 1 s. Determine the time period of motion.

• A. 3 sec
• B. 4 sec
• C. 6 sec
• D. 7 sec

Answer 1

The correct option is C 6 sec

$\begin{array}{c}x=A\cos wt\\ \frac{A}{2}=A\cos wt\\ \Rightarrow wt=\frac{\pi }{3}\\ \Rightarrow t=\frac{\pi }{3}w\\ \Rightarrow t=\frac{\pi }{3}\frac{T}{2\pi }\\ \Rightarrow T=6t=6\sec \end{array}$

Hence,

option $\left(C\right)$ is correct answer.