the frequency of a source is 20KHz. THE FREQUENCIES OF SOUND WAVE PRODUCED BY IT IN WATER AND AIR WILL BE.
To determine the frequencies of sound waves produced by a source in water and air, we need to consider the speed of sound in both mediums.
In air, the speed of sound is approximately 343 meters per second (m/s), while in water, it is approximately 1498 m/s.
The frequency of a wave can be calculated using the formula:
f = v / λ
where:
f = frequency (in hertz, Hz)
v = velocity of sound (in meters per second, m/s)
λ = wavelength (in meters, m)
Since the frequency (f) is given as 20 kHz (which is equivalent to 20,000 Hz), we can rearrange the formula to solve for the wavelength (λ) for both air and water.
For air:
f = v_air / λ_air
Rearranging the formula gives:
λ_air = v_air / f
Substituting the values, we have:
λ_air = 343 m/s / 20,000 Hz
Calculating this yields:
λ_air ≈ 0.01715 meters (or 17.15 millimeters)
Similarly, for water:
f = v_water / λ_water
Rearranging the formula gives:
λ_water = v_water / f
Substituting the values, we have:
λ_water = 1498 m/s / 20,000 Hz
Calculating this yields:
λ_water ≈ 0.0749 meters (or 74.9 millimeters)
Therefore, the frequencies of sound waves produced by a source with a frequency of 20 kHz in water and air will be approximately:
In air: 20 kHz
In water: 20 kHz
Note: The frequencies remain unchanged, but the wavelengths differ due to the different speeds of sound in each medium.