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

Question

Infinity Learn · Accepted Answer

In both the cases observer is moving towards, the source. Hence by using n'$$=nv+v0vWhen$$ passenger is sitting in train A, then $$5.5=5v+vAv$$                               …(i)when$$ passenger is sitting in train B, then $$6=5v+vBv$$                                  …$$(ii)On$$ solving equation $$(i) and (ii) we get  $$vBvA=2$$

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