Question

In a sinusoidal wave, the time required for a particle to move from maximum displacement to mean position is $0.17\text{s}$. The frequency of the wave is

• A. $1.47\text{Hz}$
• B. $2.94\text{Hz}$
• C. $4.17\text{Hz}$
• D. $0.92\text{Hz}$

Answer 1

The correct option is A $1.47\text{Hz}$

We know that time required by a particle to move directly from its extreme position to mean position is one-fourth of the time period.
$\Rightarrow \Delta t=\frac{T}{4}$
$\Rightarrow T=4\times 0.17=0.68\text{s}$
Now, frequency,
$f=\frac{1}{T}=\frac{1}{0.68}=1.47\text{Hz}$.