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A car travelling towards a hill at 10 m/...

A car travelling towards a hill at `10 m//s` sound its horn which a frequency `500 H_(Z)`. This is heard in a second car travelling behind the first car in the same direction with speed `20 m//s`. The sound can also be heard in the second car by reflections of sound the hill. The beat frequency heard by the driver of the sound car will be (speed of sound in air `= 340 m//s)`

A

`31 H_(Z)`

B

`24 H_(Z)`

C

`21 H_(Z)`

D

`34 H_(Z)`

Text Solution

Verified by Experts

The correct Answer is:
A

`f_(b) = f_(S') - f_(S_1)`
`= 500[(340 + 20)/(340 - 10)] - 500[(340 + 20)/(340 + 10)]`
`~~ 31 H_(Z)`
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