Question

The wavelength of waves produced on a surface of water is 20cm. If the wave velocity is 24m/sec calculate (a) the number of waves produced in 1 sec (b) the time required to produce one wave

Answer 1

Given,
$$\begin{gathered} \mathrm{Wavelength},\mathrm{\lambda }=20\mathrm{cm}=0.20\mathrm{m} \\ \mathrm{Wave}\mathrm{velocity},\mathrm{v}=24\mathrm{m}/\mathrm{s} \\ \left(\mathrm{a}\right)\mathrm{Number}\mathrm{of}\mathrm{waves}\mathrm{produced}\mathrm{in}1\mathrm{second}=\mathrm{Frequency}\left(\mathrm{f}\right)=\frac{\mathrm{v}}{\mathrm{\lambda }}=\frac{24}{0.20}=120 \\ \left(\mathrm{b}\right)\mathrm{The}\mathrm{time}\mathrm{required}\mathrm{to}\mathrm{produce}\mathrm{one}\mathrm{wave}=\mathrm{Time}\mathrm{period}\left(\mathrm{T}\right)=\frac{1}{\mathrm{f}}=\frac{1}{120}=0.0083\mathrm{s} \end{gathered}$$