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Question

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 return journey 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 A is


A

242252

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B

2

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C

56

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D

116

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Solution

The correct option is B

2


In both the cases observer is moving towards, the source. Hence by using n = n(v+v0v)

When passenger is sitting in train A, then

5.5 = 5(v+vAv) ......(i)

When passenger is sitting in train B, then

6 = 5(v+vBv)

On solving equation (i) and (ii), we get vBvA = 2


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