Two trains A and B are moving with speed 20m/s and 30m/s respectively in the same direction on the same straight track with B ahead of A. The engines are at the front ends. The engine of trains A blows a long whistle.
Assume that the speed of sound of whistle is composed of components varying in frequency from f1=800Hz to f2=1120 Hz as shown in the figure. The spread in the frequency (ie, highest frequency – lowest frequency) is thus 320 Hz. The speed of sound in air is 340m/s.
Find the speed of the whistle for passengers in A and passengers in B
2. Relevant equations
3. The attempt at a solution
Relative velocity between A and B=10m/s. So speed of sound for passengers in B would be 10m/s less than 340m/s i.e, 330m/s and for people in A the speed of sound would be 340m/s.
But my answer is wrong. The answer is 360m/s for people in A and 310m/s for people in B. I could not think of a possible explanation. Can anyone help?