The figure shows the location of a source and detector at time \( t=0 \). The source and detecto...

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The figure shows the location of a source and detector at time \( t=0 \). The source and detector are moving with velocities \( \bar{v}_{\mathrm{S}}=5 \hat{\mathrm{i}} \mathrm{ms}^{-1} \) and \( \bar{v}_{O^{\prime}}=10 \hat{\mathrm{j}} \mathrm{ms}^{-1} \) respectively. Frequency of the source is \( 100 \mathrm{~Hz} \). Determine the frequency of signals received by the detector \( \left(O^{\prime}\right) \) at the moment, when the source crosses origin. Speed of sound is \( 330 \mathrm{~ms}^{-1} \).
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