Question

Consider a pipe of length L that is open at both ends. What are the wavelengths of the three lowest-pitch tones produced by this pipe?
Answer


2L, L, L/2
2L, L, L/2
4L, 2L, L
2L, L, 2L/3
4L, 4L/3, 4L/5

Answer 1

Answer:

2 L, L, 2 L/3

Explanation:

For a pipe of length l open at both ends, the length of the pipe is given by :

$l=\dfrac{n\lambda}{2}$

or

$\lambda=\dfrac{2l}{n}$

For first pitch tone, n = 1

$\lambda_1=2l$

For first pitch tone, n = 2

$\lambda_2=\dfrac{2l}{2}$

$\lambda_2=l$

For first pitch tone, n = 3

$\lambda_3=\dfrac{2l}{3}$

$\lambda_3=\dfrac{2l}{3}$

So, the wavelengths of the three lowest-pitch tones produced by this pipe are 2 L, L, 2 L/3 respectively. Hence, the correct option is (d)