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Apparent Frequency:Listener Moving

Two trains ar...

Question

Two trains are travelling towards each other both at a speed of 90 km $h^{- 1}$ . If one of the trains sounds a whistle at 500 Hz, what will be the apparent frequency heard in the other train ? Speed of sound in air = $350 m s^{- 1}$ .

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Solution

According to the given data,

$V_{s}$ =90 kh/hour =25 m/sec

$V_{0} = 25$ m/sec

So, Apparent frequency heard by the observer in train B

$= (\frac{350 + 25}{350 - 25}) \times 500 = 577 H z$

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