Sound WavesHard

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 train B to that train A is

Options

A.242/252
B.2
C.5/6
D.11/6

Solution

Using the formula     f′ = f
We get,             ..... (i)
and                 ..... (ii)
Here, v = speed of sound
vA = speed of train A
vB = speed of train B
solving equation (i) and (ii), we get
           = 2.

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