In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is $0.1\ s$. Find the frequency of the wave.


Let $T$ be the time period.

Therefore, time required for a point to move from maximum displacement to zero displacement $=\frac{T}{4}$

Here, given that time the time required for a particular point to move from maximum displacement to zero displacement is $0.1\ s$.

Therefore, $\frac{T}{4}=0.1$

Or $T=0.1\times4=0.4$

As known, frequency $n=\frac{1}{T}$

Or $n=\frac{1}{0.4}$

Or $n=2.5\ Hz$

Thus, the frequency of the wave is $2.5\ Hz$.

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Updated on: 10-Oct-2022

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