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Figure below shows boat and river with their respective speeds. S is a source, attached to the boat, that emits sound of wavelength 14. 45 mm at a speed of 1445 m/s w.r.t water. A receiver is kept downstream at rest w.r.t. ground, inside water. The frequency detected by the receiver is:

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100695.9 Hz

100556 .7 Hz

101391 .2 Hz

100696.9 Hz

answer is A.

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Detailed Solution

$\begin{array}{l} v = fλ \\ f = 10^{5} Hz \\ \Rightarrow Velocity of sound w.r.to ground \\ = 1447 \frac{m}{s} \\ \Rightarrow f_{app} = \frac{1447}{1447 - 10} \times 10^{5} \\ = 100695 .9 Hz \end{array}$

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