Question

The wavelength of waves produced on the surface of the water is 20 cm. If the wave velocity is 24 m/s calculate the number of waves produced in one second.

Answer 1

Step 1 Given,

1. wavelength,

$$\begin{gathered} \lambda =20cm \\ =\frac{20}{100}m \\ =0.2m \end{gathered}$$

1.1 Velocity, $v=24m/s$

Step 2 Formula Used,

2 If f is the frequency, $\lambda$is the wavelength and v is the velocity of the wave, then

$$\begin{gathered} v=f\lambda \\ f=\frac{v}{\lambda } \end{gathered}$$

Step 3 Calculation,

$$\begin{gathered} f=\frac{24}{0.2} \\ f=\frac{24\times 10}{0.2\times 10} \\ f=\frac{240}{2} \\ f=120Hz \end{gathered}$$

The number of waves produced in one second, frequency = $120Hz$