Two trains move towards each other with the same speed. Speed of sound is 340 ms –1 . If the pitch of the tone of the whistle of one when heard on the other changes by 9/8 times, then the speed of each train is:

Text Solution
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According to Doppler effect the the pitch of a sound change due the motion of source is given by:

Here,
and
are the velocity of the sound source and observer and
and
.
Lets assume the velocity of both the the trains are
.
Using the above formula:

The negative sign used for the opposite direction movement of the trains.
Using all the known values we can get the velocity of the trains are
.
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