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

Respuesta :

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 :

[tex]l=\dfrac{n\lambda}{2}[/tex]

or

[tex]\lambda=\dfrac{2l}{n}[/tex]

For first pitch tone, n = 1

[tex]\lambda_1=2l[/tex]

For first pitch tone, n = 2

[tex]\lambda_2=\dfrac{2l}{2}[/tex]

[tex]\lambda_2=l[/tex]

For first pitch tone, n = 3

[tex]\lambda_3=\dfrac{2l}{3}[/tex]

[tex]\lambda_3=\dfrac{2l}{3}[/tex]

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)

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 :

or

For first pitch tone, n = 1

For first pitch tone, n = 2

For first pitch tone, n = 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)