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An air column in a glass tube is open at one end and closed atthe other by a mov

ID: 1746472 • Letter: A

Question

An air column in a glass tube is open at one end and closed atthe other by a movable piston.The air in the tube is warmed aboveroom temperature and a 384 Hz tuning fork is held at the open end.Resonance is heard when the piston is 22.8 cm from the open end andagain whenit is 68.3 cm from the open end. (a) What speed of sound is implied by these data? Please help, will give highest rating!!!! Answer is 350m/s Please show all steps in order to get answer An air column in a glass tube is open at one end and closed atthe other by a movable piston.The air in the tube is warmed aboveroom temperature and a 384 Hz tuning fork is held at the open end.Resonance is heard when the piston is 22.8 cm from the open end andagain whenit is 68.3 cm from the open end. (a) What speed of sound is implied by these data? Please help, will give highest rating!!!! Answer is 350m/s Please show all steps in order to get answer

Explanation / Answer

First resonant length L = 22.8 cm = 0.228m second resonant length L ' = 68.3 cm = 0.683 m So, speed of sound v = 2 n ( L ' - L ) where n = frequency of tunning fork = 384 Hz susbtitue values weget v = 349.44 m / s                                      ~ 350 m / s
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