What would be the wavelength of the fundamental and first two overtones produced by an organ pipe of length L that is closed at one end and open at the other?
A) L, ½ L, ¼ L
B) ½ L, ¼ L, 1/6 L
C) 2L, L, ½ L
D) 4L, 2L, L
E) 4L, 4/3 L, 4/5 L

Respuesta :

Answer:

option E

Explanation:

given,

organ pipe of length L

using formula ,

[tex]L = (2n - 1)\dfrac{\lambda}{4}[/tex]

n is the number of nodes

[tex]\lambda= \dfrac{4L}{(2n - 1)}[/tex]

now at n = 1

[tex]\lambda_1= \dfrac{4L}{(2(1) - 1)}[/tex]

[tex]\lambda_1= 4L[/tex]

now at n = 2

[tex]\lambda_2= \dfrac{4L}{(2(2) - 1)}[/tex]

[tex]\lambda_2= \dfrac{4}{3}L[/tex]

now at n = 2

[tex]\lambda_3= \dfrac{4L}{(2(3) - 1)}[/tex]

[tex]\lambda_3= \dfrac{4}{5}L[/tex]

The correct answer is option E

Answer:

The correct answer is option E

Explanation: