Question

An organ pipe of length 50 cm, open at one end, has a fundamental frequency of 171 Hz. Calculate the speed of sound in the pipe. What is the wavelength v?

Answer 1

wavelength = 2m

Speed = 342m/s

Step-by-step explanation:

The length of the pipe in terms of the wavelength is expressed as;

L = v/4 (For closed pipe)

v = 4L

Given

L = 50cm

L = 0.5m

Get the wavelength v;

v = 4(0.5)

v = 2.0m

Hence the wavelength is 2.0m

The speed of the sound in pipe is expressed as;

Fo = V/4L

Fo is the fundamental frequency

V is the speed of sound

L is the length of the pipe

171 = V/4(0.5)

V = 171 * 2

V = 342m/s

Hence the speed of the sound in pipe is 342m/s