Question

The wavelength of waves produced on the surface of the water is $20cm$. If the wave velocity is $24m{s}^{-1}$, calculate the number of waves produced in one second.

• A. $120$
• B. $12$
• C. $240$
• D. None of these

Answer 1

The correct option is A $120$

In the question, the wavelength $\left(\lambda \right)$ is given as $20cm$, that is, $0.20m$ and the wave velocity v is given as $24$ $m/s$.

The frequency $\nu$, velocity $v$ and wavelength $\lambda$ relation is given as:
$\nu =\frac{v}{\lambda }$

Number of waves produced in one second is called as frequency, i.e. $\nu =\frac{v}{\lambda }$ $=\nu =\frac{24m/s}{0.20m}$ $=120$ waves per second.