Two open organ pipes gives $4\ beats/sec$ when sounded together in their fundamental nodes. If the length of the pipe are $100\ cm$ and $102.5\ cm$ respectively, then the velocity of sound is :

Question

Dr. Abubacker · Accepted Answer

(b) $\mathrm{\Delta}n = n_{1} - n_{2} \Rightarrow 4 = \frac{v}{2l_{1}} - \frac{v}{2l_{2}} = \frac{v}{2}\left\lbrack \frac{1}{1.00} - \frac{1}{1.025} \right\rbrack$
$\Rightarrow 8 = v\lbrack 1 - 0.975\rbrack \Rightarrow v = \frac{8}{0.025} \approx 328\ m/s$

Q. Two open organ pipes gives $4\ beats/sec$ when sounded together in their fundamental nodes. If the length of the pipe are $100\ cm$ and $102.5\ cm$ respectively, then the velocity of sound is :

Explanation

Reviewed by Dr. Abubacker

Want more practice?