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Sound signal is sent through a composite tube as shown in the figure. The radius of the semicircular portion of the tube is r. Speed of sound in air is v. The source of sound is capable of giving varied frequencies in the range of $v_{1} a n d v_{2}$ ( where $ν_{2}$ > $ν_{1}$ ). If n is an integer then frequency for maximum intensity is given by

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$\frac{nv}{r}$

$\frac{nv}{r (π - 2)}$

$\frac{nv}{πr}$

$\frac{nv}{(r - 2) π}$

answer is B.

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Detailed Solution

$\begin{array}{l} Δx = nλ \end{array}$

$\Rightarrow πr - 2 r = nλ$

$\Rightarrow r (π - 2) = n \frac{v}{f}$

$\Rightarrow f = \frac{nv}{r (π - 2)}$

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