A sound wave travels from air into water. In air, the sound wave travels at a speed of 340 m/s and has a wavelength of 20 m, and in water, it travels at a speed of 1500 m/s. Calculate the wavelength of the sound wave in water.88.24 m4.53 m0.01 m25,500 m
Question
A sound wave travels from air into water. In air, the sound wave travels at a speed of 340 m/s and has a wavelength of 20 m, and in water, it travels at a speed of 1500 m/s. Calculate the wavelength of the sound wave in water.88.24 m4.53 m0.01 m25,500 m
Solution
The speed of sound in a medium is given by the formula v = fλ, where v is the speed of sound, f is the frequency, and λ is the wavelength.
When a sound wave travels from one medium to another, its frequency remains the same. Therefore, we can set up the following equation using the given information:
f = v_air / λ_air = v_water / λ_water
We can rearrange this equation to solve for the wavelength of the sound in water (λ_water):
λ_water = v_water * λ_air / v_air
Substituting the given values:
λ_water = 1500 m/s * 20 m / 340 m/s = 88.24 m
So, the wavelength of the sound wave in water is 88.24 m.
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