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A radar sends a ratio signal of frequency $9 \times 10^{9} H z$ towards an aircraft approaching the radar. If the reflected wave shows a frequency shift of $3 \times 10^{3} H z$ , the speed with which the aircraft is approaching the radar (in $m s^{- 1}$ ) is (velocity of the radar signal is $3 \times 10^{8} m s^{- 1}$ )

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150

100

answer is C.

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Detailed Solution

$\frac{Δ n}{n} = \frac{2 V}{C}$

$V = \frac{C (Δ n)}{2 n} = 50 m s^{- 1}$

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