Determine the speed of sound waves in water and find the wavelength of a wave having a frequency of 242 Hz.…
Determine the speed of sound waves in water and find the wavelength of a wave having a frequency of 242 Hz. (Take, $B_{\text{water}}=2\times10^9\ \mathrm{Pa}$)
Solution
Sol. Speed of sound wave in water,
$v=\sqrt{\dfrac{B_{\text{water}}}{\rho}}=\sqrt{\dfrac{(2\times10^9)}{10^3}}=1414\ \mathrm{ms}^{-1}$
Wavelength, $\lambda=\dfrac{v}{f}=\dfrac{1414}{242}=5.84\ \mathrm{m}$
Answer: $5.84$ m