The diagram given illustrates the waveform of a... - WAEC Physics 2016 Question
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 option: d
L = \(\frac{5\lambda}{4}\)
\(\lambda = \frac{4L}{5}\)
But \(\lambda = f\lambda\)
f = \(\frac{v}{\lambda} = \frac{v}{\frac{4L}{5}}\)
= \(\frac{5v}{4L}\)
\(\lambda = \frac{4L}{5}\)
But \(\lambda = f\lambda\)
f = \(\frac{v}{\lambda} = \frac{v}{\frac{4L}{5}}\)
= \(\frac{5v}{4L}\)
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