Final answer:
The length of the shortest pipe closed on one end and open at the other end that will have a fundamental frequency of 0.060 kHz is 141.7 meters.
Step-by-step explanation:
To find the length of the shortest pipe closed on one end and open at the other end that will have a fundamental frequency of 0.060 kHz, we can use the formula:
Speed of sound = Frequency * Wavelength
Since the pipe is closed on one end and open at the other end, the fundamental frequency corresponds to the first harmonic. The wavelength for the first harmonic in a closed-end pipe is four times the length of the pipe.
Wavelength = 4 * Length
Plugging in the given values, we can rearrange the formula to solve for the length:
Length = Speed of sound / (4 * Frequency)
Substituting the values, Length = 340 m/s / (4 * 0.060 kHz) = 141.7 meters.