Question

A source of wave produces 40 crests and 40 troughs in 0.4 second. Find the frequency of the wave.

Answer 1

Step 1: Given data

$$\begin{gathered} Numberofwavesproduced=40 \\ Timeperiod\left(T\right)=0.4sec \end{gathered}$$

Step 2: Finding the frequency of the wave.

Time period and frequency of a sound wave are related mathematically as:

$$\begin{gathered} frequency=\frac{Numberofwavesproduced}{Timeperiod} \\ f=\frac{40}{0.4} \\ f=100Hz \end{gathered}$$

Hence, the frequency of the wave is 100 Hz.