The vibrations of four air columns are represented in the figure. The ratio of frequencies np :nq : nr : ns is

12 : 6 : 3 : 5

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1 : 2 : 4 : 3

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4 : 2 : 3 : 1

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6 : 2 : 3 : 4

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Solution

The correct option is C 1 : 2 : 4 : 3
$n_{p} = \frac{v}{4 l}, n_{q} = \frac{v}{2 l}, n_{r} = 2. \frac{v}{2 l}, n_{s} = 3. \frac{v}{4 l}$

$n_{p} : n_{q} : n_{r} : n_{s} = \frac{1}{4} : \frac{1}{2} : 1 : \frac{3}{4} = 1 : 2 : 4 : 3$

$T h u s t h e r a t i o o f t h e f r e q u e n c i e s i s 1 : 2 : 4 : 3$

$S o, t h e c o r r e c t a n s w e r i s B$

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