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 create standing waves in the pipe. What is the wavelength of the first overtone?

Question

Physics

Conductor

15 April, 18:24

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 create standing waves in the pipe. What is the wavelength of the first overtone?

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Doodles · Answer 1

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