Q.

A rocket is going towards moon with a speed v. The astronaut in the rocket sends signals of frequency n towards the moon and receives them back on reflection from the moon. What will be the frequency of the signal received by the astronaut ? (Take v <

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a

cnc−v

b

cnc−2v

c

2Vnc

d

2cnV

answer is B.

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Detailed Solution

In this case, we can assume that both the source and observer are moving towards each other with velocity v' If c be the velocity of signal, thenη′=c+vc−vn or n′=(C+V)(C−V)(C−V)2n n=c2−v2c2+v2−2cvn=c2c2−2cvn (∵c>>v) cc−2vn
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