Wavelengths of two notes in air are 80/175 m and 80/173 m. Each note produces 4 beats/s with a third note of a fixed frequency. The speed of sound in air is

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300 m/s

280 m/s

320 m/s

400 m/s

answer is D.

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Detailed Solution

$n_{1} = \frac{175 v}{80} \Rightarrow n_{2} = \frac{173 v}{80}$
$n_{1} - n = 4 \Rightarrow n - n_{2} = 4$
$n_{1} - n_{2} = 8 \Rightarrow \frac{2 v}{80} = 8; v = 320 {ms}^{- 1}$

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