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Two cars are moving on two perpendicular roads towards a crossing with uniform speeds of 72 km/hr and 36 km/hr. 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 cars make 45o angle with the roads; will be

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a

321 Hz

b

298 Hz

c

289 Hz

d

280 Hz

answer is B.

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Detailed Solution

Here vA=72km/hr=20m/sec          vB=36km/hr=10m/sec          n′=nv+vBcos⁡45∘v−vAcos⁡45∘⇒ n′=280340+10/2340−20/2=298Hz
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Two cars are moving on two perpendicular roads towards a crossing with uniform speeds of 72 km/hr and 36 km/hr. 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 cars make 45o angle with the roads; will be