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Q.

A radar sends a radio signal of frequency 9 x 109 Hz towards an aircraft approaching the radar. If the reflected wave shows a frequency shift of 3 x 103 Hz, the speed with which the aircraft is approaching the radar, in m/s is (velocity of the radio signal is 3 x 108 m/s

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a

150

b

100

c

50

d

25

answer is C.

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Detailed Solution

Let vs, be the velocity of jet, then change in frequency dn is given bydn=n2vsc  or  3×103=9×109×2vs3×108 vs=3×103×3×1082×9×109=50m/s
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