question_answer

In a sinusoidal wave the time required for a particular point to move from equilibrium position 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 :

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               \[\operatorname{T}\,\,=\,\,0.17\,\,\times \,\,4\,\,=\, 0.68\,s\] Hence, \[frequency\,\,=\,\,\frac{1}{time\,\,period}\] \[=\frac{1}{0.68}=1.47\,\,Hz\]