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Two trains are moving towards each other at speed of 144 km/hr and 54 km/hr relative to the ground. The second sounds a whistle of frequency 710Hz find the frequency of this whistle as heard by a passenger in the first train after the trains have crossed each other (v =340m/s)

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600Hz

450Hz

760Hz

595Hz

answer is A.

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Detailed Solution

$Here velocity of the observer is 144 \times \frac{5}{18} = 40 m / s$

$velocity of the source is 54 \times \frac{5}{18} = 15 m / s$

$when they are going away from each other$

$apparent frequency = n' = (\frac{v + v_{o}}{v - v_{s}}) n$

$n' = (\frac{340 - 40}{340 + 15}) 710 = 600$

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