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
- \(\frac{V}{L}\)
- \(\frac{5VL}{2}\)
- \(\frac{5L}{4V}\)
-
\(\frac{5V}{4L}\)
The correct answer is: D
Explanation
L = \(\frac{5\lambda}{4}\)\(\lambda = \frac{4L}{5}\)
But \(\lambda = f\lambda\)
f = \(\frac{v}{\lambda} = \frac{v}{\frac{4L}{5}}\)
= \(\frac{5v}{4L}\)