Suppose that the range of output frequencies is from 35.7 Hz to 14.3 kHz for a pipe organ. Take 343 m/s for the speed of sound. (a) What is the length (in units of m) of the longest pipe open at both ends and producing sound at its fundamental frequency? (b) What is the length (in units of m) of the shortest pipe open at both ends and producing sound at its fundamental frequency? (a) Number (b) Number Units Units

Just part (a)

In the figure, S is a small loudspeaker driven by an audio oscillator and amplifier, adjustable in frequency from 1300 to 2400 Hz only. Tube D is a piece of cylindrical sheet-metal pipe 50.0 cm long and open at both ends. (a) If the speed of sound in air is 344 m/s at the existing temperature, at how many frequencies will a resonance occur in the pipe when the frequency emitted by the speaker is varied from 1300 Hz to 2400 Hz? (b) What is the lowest resonant frequency in the given interval? (a) Number Units (b) Number Units

A 4.0-m-long pipe, open at both ends, is placed in a room where the temperature is T = 25°C. A speaker capable of producing variable frequencies is placed at the open end and is used to cause the tube to resonate. (a) What are the wavelength and the frequency of the fundamental frequency? (b) What are the frequency and wavelength of the first overtone?