Wave Motion 4 Question 13

6. A train moves towards a stationary observer with speed 34 m/s. The train sounds a whistle and its frequency registered by the observer is f1. If the speed of the train is reduced to 17 m/s, the frequency registered is f2. If speed of sound is 340 m/s, then the ratio f1f2 is

(2019 Main, 10 Jan I)

(a) 1918

(b) 2120

(c) 2019

(d) 1817

Show Answer

Solution:

  1. When a source is moving towards an stationary observer, observed frequency is given by

fobserved =f(vv+vs)

where, f= frequency of sound from the source, v= speed of sound and vs= speed of source.

Now applying above formula to two different conditions given in problem, we get

f1= Observed frequency =f(34034034)=f(340306)

and f2= Observed frequency when speed of source is reduced

=f(34034017)=340323

So, the ratio f1:f2 is f1f2=323306=1918.



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