Sort By

Anonymous

Jul 11

To calculate the velocity of the sound wave in water, we can use the relationship between wavelength, velocity, and frequency. The velocity of a wave can be calculated by multiplying its wavelength (λ) by its frequency (f).
Let's assume the wavelength of the sound wave in air is λ_air, and the wavelength of the sound wave in water is λ_water. The ratio of the wavelengths is given as 425:100.
Given:
Velocity of sound in air (v_air) = 350 m/s
We can set up the following equation using the ratio of the wavelengths:
λ_water / λ_air = 425 / 100
Now, we need to find the velocity of the wave in water (v_water).
Since the velocity of a wave is directly proportional to its wavelength, we can set up a similar relationship for the velocities:
v_water / v_air = λ_water / λ_air
We can rearrange the equation to solve for v_water:
v_water = v_air * (λ_water / λ_air)
Substituting the given values:
v_water = 350 m/s * (425 / 100)
v_water = 1487.5 m/s
Therefore, the velocity of the sound wave in water is approximately 1487.5 m/s.

Ask an expert