Two trains A and B moving with speeds 20...

Two trains `A and B` moving with speeds `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 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`.
The speed of sound of the whistle is

`340 m//s` for passengers in `A` and `310 m//s` for passengers in `B`

`360 m//s` for passengers in `A` and `310 m//s` for passengers in `B`

`310 m//s` for passengers in `A` and `360 m//s` for passengers in `B`

`340 m//s` for passengers in both the trains

Text Solution

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The correct Answer is:

`V_(S//A) = 340 + 20 = 360`
`V_(S//B) = 340 - 30 = 310`

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