Answer :
Answer:
The wavelength of the wave is 20 m.
Explanation:
Given that,
Amplitude = 10 cm
Radial frequency [tex]\omega = 20\pi\ rad/s[/tex]
Bulk modulus = 40 MPa
Density = 1000 kg/m³
We need to calculate the velocity of the wave in the medium
Using formula of velocity
[tex]v=\sqrt{\dfrac{k}{\rho}}[/tex]
Put the value into the formula
[tex]v=\sqrt{\dfrac{40\times10^{6}}{10^3}}[/tex]
[tex]v=200\ m/s[/tex]
We need to calculate the wavelength
Using formula of wavelength
[tex]\lambda =\dfrac{v}{f}[/tex]
[tex]\lambda=\dfrac{v\times2\pi}{\omega}[/tex]
Put the value into the formula
[tex]\lambda=\dfrac{200\times2\pi}{20\pi}[/tex]
[tex]\lambda=20\ m[/tex]
Hence, The wavelength of the wave is 20 m.