A receiver and a source of sonic oscillations of frequency \( v_{0}=2000 \mathrm{~Hz} \) are loc...

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A receiver and a source of sonic oscillations of frequency \( v_{0}=2000 \mathrm{~Hz} \) are located on the \( x \) axis. The source swings harmonically along that axis with a circular frequency \( \omega \) and an amplitude \( \alpha=50 \mathrm{~cm} \). At what value of \( \omega \) will the frequency bandwidth registered by the stationary receiver be equal to \( \Delta v=200 \mathrm{~Hz} \) ? The velocity of sound is equal to \( v=340 \mathrm{~m} / \mathrm{s} \)
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