An organ pipe of length `L` is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are

Options

A. `4L,2L,L`
B. `2L,L,L//2`
C. `2L,L,2L//3`
D. `4L,4L//3,4L//5`

Answer

D

Explanation

`L=(2n-1)(lamda)/(4)`
`lamda=(4L)/((2n-1))implieslamda_1=(4L)/(2(1)-1)=4L`,
`lamda_2=(4L)/(4-1)=(4L)/(3)` and `lamda_3=(4L)/(6-1)=(4L)/(5)`