question_answer

In a sinusoidal wave the time required for a particular point to move from equilibrium pasition to maximum displacement is 0.17 s, then the frequency of wave is:

A)  1.47 Hz   

B)                         0.36 Hz

C)         2.94 Hz                

D)         2.48 Hz

Correct Answer: A

Solution :

                Key Idea: Maximum displacement from mean occurs at \[\frac{T}{4}.\] For a motion in SHM particle taken one-fourth of periodic time to reach maximum displacement. Hence, periodic time is given by \[T=0.17\times 4=0.68s\] Hence, \[frequency=\frac{1}{time\,peroid}\] \[=\frac{1}{0.68}=1.47Hz\]