Q.

A siren placed at a railway platform is emitting sound of frequency 5 kHz. A passenger sitting in a moving train A records a frequency of 5.5 kHz while the train approaches the siren. During his retum joumey in a different train B he records a frequency of 6.0 kHz while approaching the same siren. The ratio of the velocity of train.B to that of train l is

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a

242252

b

2

c

56

d

116

answer is B.

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Detailed Solution

In both the cases observer is moving towards the source. Hence by using n' = n(v+v0v)When passenger is sitting in train A, then5.5 = 5(v+vAv)----------------(i)when passenger is sitting in train B, then6 = 5(v+vBv)--------------(ii)On solving equation (i) and (ii) we get vBvA = 2
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A siren placed at a railway platform is emitting sound of frequency 5 kHz. A passenger sitting in a moving train A records a frequency of 5.5 kHz while the train approaches the siren. During his retum joumey in a different train B he records a frequency of 6.0 kHz while approaching the same siren. The ratio of the velocity of train.B to that of train l is