The wavelength in air of a sound is 5 m.
(a) What is the frequency of the sound?
Sound can have any frequency. It is the SPEED of sound that remains constant, independent of frequency, at a given temperature.
To determine the frequency of the sound, we can use the formula:
Speed = Frequency x Wavelength
In this case, we are given the wavelength in air as 5 m. However, we are not given the speed of sound, which is necessary to calculate the frequency. Since the speed of sound in air is constant at a given temperature, we can use the commonly accepted value of 343 meters per second at 20 degrees Celsius.
Now we can rearrange the formula to solve for frequency:
Frequency = Speed / Wavelength
Plugging in the values:
Frequency = 343 m/s / 5 m
Frequency = 68.6 Hz
Therefore, the frequency of the sound is approximately 68.6 Hz.