A 4.0-m-long pipe, open at one end and closed at one end, is in a room where the temperature is T = 22°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 is the wavelength and the frequency of the fundamental frequency? (b) What is the frequency and wavelength of the first overtone?

Answer the following step by step: A)The range of frequencies audible to humans is from about 20 Hz to 20kHz. Assuming that the speed of sound in air is 343 m/s, the wavelength of a 20 kHz sound is: a) 58 cm   b) 1.8 cm   c) 6860 km    d) 400 km B) A 640 Hz tuning fork is placed on the open edge of a resonance tube of initial length L = 0 cm. Assume that the speed of sound is 330 m/s. As the tube becomes longer, successive whistles of maximum intensity (for example, from L1 to L3, or from L3 to L5, etc.) are heard at intervals L. What is the value L. Note: Be careful with the units a) 51.7 cm   b) 194 cm   c) 19.4 km    d) 25.8 km  e) 12.9 cm C) In a tube that has one end closed (the other open), with a fundamental frequency of 256 Hz, which of the following frequencies cannot produce resonance? a) 5.12 kHz   b)There is no restriction to any frequency    c) 19.7 kHz    d) 768 Hz   e) 1.28 kHz

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