A source of sound is travelling at \( \frac{100}{3} \mathrm{~ms}^{-1} \) along a road, towards a...

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A source of sound is travelling at \( \frac{100}{3} \mathrm{~ms}^{-1} \) along a road, towards a point \( A \). When the source is \( 3 \mathrm{~m} \) away from \( A \), a person standing at a point \( O \) on a road perpendicular to velocity of source observes a frequency \( v^{\prime} \). The distance of \( O \) from \( A \) at that time is \( 4 \mathrm{~m} \). If the original frequency is \( 640 \mathrm{~Hz} \), then the value of \( v^{\prime} \) is (Given that velocity of sound \( =340 \mathrm{~ms}^{-1} \) )
(a) \( 620 \mathrm{~Hz} \)
(b) \( 680 \mathrm{~Hz} \)
(c) \( 720 \mathrm{~Hz} \)
(d) \( 840 \mathrm{~Hz} \)
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