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

2 L, L, 2 L/3

Step-by-step explanation:

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

`l=(n\lambda)/(2)`

or

`\lambda=(2l)/(n)`

For first pitch tone, n = 1

`\lambda_1=2l`

For first pitch tone, n = 2

`\lambda_2=(2l)/(2)`

`\lambda_2=l`

For first pitch tone, n = 3

`\lambda_3=(2l)/(3)`

`\lambda_3=(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)