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Pat has been performing experiments regarding the speed of sound in a container

ID: 1417842 • Letter: P

Question

Pat has been performing experiments regarding the speed of sound in a container full of a mixture of gasses. The length of the long, cylindrical container is 1.50 m. Answer the three questions below with three significant figures. During a time-of-flight experiment, Pat determines that it takes a pulse of sound 0.0052 s to travel the full length of the cylinder. What is the speed of sound in the cylinder? Suppose that Pat sends a sound with a frequency of 4.00 times 10^2 Hz down the tube. What is the wavelength of that sound? For Pat's last experiment, it is necessary to create a standing wave with three antinodes. (the container is closed at both ends.) What frequency of sound should Pat use to create such a standing wave?

Explanation / Answer

(C) In the closed container the frequency for third harmonic
v = 3V/4L where v is frequency , V is speed , L is length
v = 3*288 / 4*1.5 = 144 Hz