he first overtone of an open organ pipe beats with the first overtone of a closed organ pipe with a beat frequency of 2.2 Hz. The fundamental frequency of the closed organ pipe is 110 Hz. Find the lengths of the pipes. (v sound = 330 m/s)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION
(L c = 0.75 m, L o = 0.99 m or 1.006 m)
for closed pipe, fundamental frequency
= 110 Hz
⇒ λ = 
= 
= 0.75 m
frequency of 1st overtone = 330 Hz.
for open pipe:
frequency of 1st overtone = 
= 
Now 
= 330 ± 2.2
⇒ λ = 0.99 m
Or 1.006 m
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