A helium-filled pipe which is closed at both ends is 10 cm long and has a little hole on one side. Blowing into that hole will c reate standing waves in the pipe. What is the wavelength of the first overtone?
1 answer:
Answer:
0.133m
Explanation:
Since the pipe is closed at one end and opened at the other end (the end where a hole is created), the pipe in question is a closed pipe.
Overtones are defined as the multiple integrals of their fundamental frequency.
If fundamental frequency of the pipe is Fo, the first overtone for closed pipe F1 = 3fo
Since Fo = V/4L
F1 = 3(V/4L)
Given the length of the pipe L = 10cm = 0.1m
Speed of sound wave V = 330m/s
F1 = 3(330)/4(0.1)
F1 = 990/0.4
F1 = 2475Hertz
Using the relationship to get the wavelength
V = F1λ
λ = v/F1
λ= 330/2475
λ = 0.133m
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