Question

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?

Answer 1

0.133m

Step-by-step 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