Question

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

Answer 1

The correct answer is option E

Step-by-step explanation:

Answer 2

option E

Step-by-step explanation:

given,

organ pipe of length L

using formula ,

`L = (2n - 1)(\lambda)/(4)`

n is the number of nodes

`\lambda= (4L)/((2n - 1))`

now at n = 1

`\lambda_1= (4L)/((2(1) - 1))`

`\lambda_1= 4L`

now at n = 2

`\lambda_2= (4L)/((2(2) - 1))`

`\lambda_2= (4)/(3)L`

now at n = 2

`\lambda_3= (4L)/((2(3) - 1))`

`\lambda_3= (4)/(5)L`

The correct answer is option E