Question 86 of 142
Two open organ pipes of lengths and resonate at and harmonics respectively. The difference of frequencies for the given modes is _______ . (Velocity of sound in air )
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Answer: 740
The difference in frequency in open organ pipe
$\begin{aligned}
& \mathrm{f}=\frac{\mathrm{nv}}{2 \mathrm{~L}} \\
& \Delta \mathrm{f}=\frac{6 \mathrm{v}}{2 \times 0.6}-\frac{5 \mathrm{v}}{2 \times 0.9} \\
& \mathrm{v}=333 \mathrm{~m} / \mathrm{s} \\
& \Delta \mathrm{f}=740 \mathrm{~Hz}
\end{aligned}$
$\begin{aligned}
& \mathrm{f}=\frac{\mathrm{nv}}{2 \mathrm{~L}} \\
& \Delta \mathrm{f}=\frac{6 \mathrm{v}}{2 \times 0.6}-\frac{5 \mathrm{v}}{2 \times 0.9} \\
& \mathrm{v}=333 \mathrm{~m} / \mathrm{s} \\
& \Delta \mathrm{f}=740 \mathrm{~Hz}
\end{aligned}$