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Two sound sources $S_{1}$ and $S_{2}$ of frequencies 324 Hz and 320Hz are placed at certain separation. An observer is moving away from $S_{1}$ and towards $S_{2}$ on line joining them. If he hears no beats then speed of observer is (v=344 $m s^{- 1}$ ).

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10 ms^-1

5 ms^-1

2.1 ms^-1

20 ms^-1

answer is D.

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Detailed Solution

Number of beats $Δ n = n_{1} - n_{2}$
For no beats observed , $n_{1} - n_{2} = 0$
$(\frac{V - V_{0}}{V}) 324 - (\frac{V + V_{0}}{V}) 320 = 0$
Where , $V_{0}$ =speed of observer and V=344 $m s^{- 1}$
On solving $V_{0}$ =2.1 $m s^{- 1}$ .

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