The vibrating of four air columns are represented in the figure. The ratio of frequencies $n_{p} : n_{q} : n_{r} : n_{s}$ is

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4 : 2 : 3 : 1

12 : 6 : 3 : 5

6 : 2 : 3 : 4

1 : 2 : 4 : 3

answer is B.

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Detailed Solution

$\begin{array}{l} n_{p} = \frac{V}{4 L}, n_{q} = \frac{V}{2 L}, n_{r} = \frac{2 V}{2 L} and, n_{s} = \frac{3 V}{4 L} \\ n_{p} : n_{q} : n_{r} : n_{s} = 1 : 2 : 4 : 3 \end{array}$

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