Answer: A long tube contains air at a pressure of 1.00 atm

Chapter 16, Problem 67P

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QUESTION:

A long tube contains air at a pressure of 1.00 atm and a temperature of 77.0\(^\circ\)C. The tube is open at one end and closed at the other by a movable piston. A tuning fork near the open end is vibrating with a frequency of 500 Hz. Resonance is produced when the piston is at distances 18.0, 55.5, and 93.0 cm from the open end. (a) From these measurements, what is the speed of sound in air at 77.0\(^\circ\)C?  (b) From the result of part (a), what is the value of γ? (c) These data show that a displacement antinode is slightly outside of the open end of the tube. How far outside is it?

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QUESTION:

A long tube contains air at a pressure of 1.00 atm and a temperature of 77.0\(^\circ\)C. The tube is open at one end and closed at the other by a movable piston. A tuning fork near the open end is vibrating with a frequency of 500 Hz. Resonance is produced when the piston is at distances 18.0, 55.5, and 93.0 cm from the open end. (a) From these measurements, what is the speed of sound in air at 77.0\(^\circ\)C?  (b) From the result of part (a), what is the value of γ? (c) These data show that a displacement antinode is slightly outside of the open end of the tube. How far outside is it?

ANSWER:

Solution to 67P

Step 1

Air pressure in pipe=1atm

Temperature =770C

Tuning frequency =500Hz

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