Wave harmonics (calculate speed of wave)

AI Thread Summary
The discussion focuses on calculating the speed of sound using a resonance experiment with a glass tube. The tuning fork frequency is 427 Hz, and resonance occurs at air column lengths of 17.4 cm and 55.0 cm. The wavelength is calculated using the formula for harmonics, leading to two speed calculations that are close but not exact. The book's answer for the speed of sound is 321 m/s. The participant seeks assistance in verifying the calculations or addressing discrepancies with the book's answer.
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Homework Statement


A glass tube with one end open and the other closed is used in a resonance experiment to determine the speed of sound. A tuning fork of frequency 427 Hz is used and resonance is observed for air column lengths equal to 17.4 cm and 55.0 cm.
(a) What speed of sound does this experiment give?
(b) What is the end correction for this tube?


Homework Equations


wavelength = 4L/n where n = 1,3,5,...
v = f x wavelength


The Attempt at a Solution


I assumed fundamental and second harmonics.
v = 427 x 4 x 0.174
v = 427 x 4/3 x 0.55
Although the answers don't exactly match, they're pretty close. However, the book answer is 321m s-1.

Could someone please help me arrive at the book answer or disprove it?
 
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