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Two trains are moving towards each other at speeds of 144 km/hr and 54 km/hr relative to the ground. The first train sounds a whistle of frequency 600 Hz. Find the frequency of the whistle as heard by a passenger in the second train before the trains meet. (v =340 m/s)

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610 Hz

170 Hz

710 Hz

510 Hz

answer is C.

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Detailed Solution

$V_{s} = 144 x \frac{5}{18} = 40 m / s; V_{D} = 54 x \frac{5}{18} = 15 m / s \Rightarrow n^{1} = [\frac{V + V_{0}}{V - V_{s}}] n = [\frac{340 + 15}{340 - 40}] 600 \Rightarrow n^{1} = 355 x 2 = 710 Hz$

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