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The diagram given illustrates the waveform of a note produced by vibrations in an air column of length L. If the speed of sound in air is V, derive an expression for the frequency of the notes

The diagram given illustrates the waveform of a note produced by vibrations in an air column of length L. If the speed of sound in air is V, derive an expression for the frequency of the notes

A.

VL

B.

5VL2

C.

5L4V

D.

5V4L

Correct answer is D

L = 5λ4

λ=4L5

But λ=fλ

f = vλ=v4L5

= 5v4L