The speed of a wave in a medium is $960\ \mathrm{ms}^{-1}$. If 3600 waves pass through a point in the medium…
The speed of a wave in a medium is $960\ \mathrm{ms}^{-1}$. If 3600 waves pass through a point in the medium in 1 minute, then determine its wavelength.
Solution
Sol. Given, speed of the wave, $v = 960\ \mathrm{ms}^{-1}$
Frequency of the wave, $\nu = 3600\ \mathrm{min}^{-1}$
$\displaystyle \nu = \frac{3600}{60} = 60\ \mathrm{s}^{-1}$
$\therefore$ Wavelength, $\lambda = \dfrac{v}{\nu} = \dfrac{960}{60} = 16\ \mathrm{m} \Rightarrow \lambda = 16\ \mathrm{m}$
Answer: $\lambda = 16\ \mathrm{m}$