Two trains A and B are moving with speeds 20 m /s and 30 m /s respectively in the same direction on the same straight track, with B ahead of A. The engines are at the front ends. The engines of train A blows a long whistle.

Assume that the sound of the whistle is composed of components varying in frequency from f 1 = 800 Hz to f 2 = 1120 Hz, as shown in the figure. The spread in the frequency (highest frequency – lowest frequency) is thus 320 Hz. The speed of sound in still air is 340 m /s.
(i) The speed of sound of the whistle is
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(i)
Sol. 360 m /s for passengers in A and 310 m /s for passengers in B
(ii)
Sol. 
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