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Q.

Two sound source S₁ and S₂ have the frequencies 224 Hz and 220 Hz and are situated at some distance. An observer is moving on the line joining the sources. If the observer does not hear a beat, his speed will be______(in m/s) (given velocity of sound $v = 333 m / s$ ) (Mark the nearest integer as answer)

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answer is 3.

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Detailed Solution

When the observer moves away from the source $S_{1}$

$f_{1} = 224 [\frac{333 - v_{0}}{333}]$

When the observer moves toward the source $S_{2}$

$f_{2} = 220 [\frac{333 + v_{0}}{333}]$

As the observer hears no beats, so, we can equate the equations (1) and (2),

$224 [\frac{333 - v_{0}}{333}] = 220 [\frac{333 + v_{0}}{333}]$

$\Rightarrow v_{0} = 3 m / s$

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Two sound source S1 and S2 have the frequencies 224 Hz and 220 Hz and are situated at some distance. An observer is moving on the line joining the sources. If the observer does not hear a beat, his speed will be______(in m/s) (given velocity of sound v=333 m/s) (Mark the nearest integer as answer)