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.
(frac{V}{L}) -
B.
(frac{5VL}{2}) -
C.
(frac{5L}{4V}) -
D.
(frac{5V}{4L})
Correct Answer: Option D
Explanation
L = (frac{5lambda}{4})
(lambda = frac{4L}{5})
But (lambda = flambda)
f = (frac{v}{lambda} = frac{v}{frac{4L}{5}})
= (frac{5v}{4L})