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Two cars are moving on two perpendicular roads towards a crossing with uniform speeds of 72 km/h and 36 km/h. If first car blows horn. of frequency 280 Hz, then the frequency of horn. heard by the driver of second car when line joining the car makes angle of 45 with the roads, will be

A
321 Hz
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B
298 Hz
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C
289 Hz
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D
280 Hz
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Solution

The correct option is A 298 Hz
The component of velocity of source along line joining
vs=v1cos45o=36×12
=52m/s
Component of velocity of observer along line joining
v0=v2cos45o
72×12
=102
The frequency of horn
n=v+v0vvs
n=330+10233052×280
=344323×280=298Hz

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