The diagram given illustrates the waveform of a note produced by vibrations in an air...
PHYSICS
WAEC 2016
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: D. \(\frac{5V}{4L}\)
Explanation
L = \(\frac{5\lambda}{4}\)
\(\lambda = \frac{4L}{5}\)
But \(\lambda = f\lambda\)
f = \(\frac{v}{\lambda} = \frac{v}{\frac{4L}{5}}\)
= \(\frac{5v}{4L}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *