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When sound is produced in an aeroplane w...

When sound is produced in an aeroplane with a velocity of 200 m/s horizontally its echo is heard after `10 sqrt5` seconds. If velocity of sound in air is `300"m s"^(-1)` the elevation of aircraft is

A

250 m

B

`250sqrt(5)m`

C

1250 m

D

2500 m

Text Solution

Verified by Experts

The correct Answer is:
D

`t=10sqrt(5)sec`
`v_(p)=200m//s`
`OC|=200xx5sqrt(5)=2236`
`BC=300xx5sqrt(5)=3354`
`therefore OB=sqrt(BC^(2)-OC^(2))=2500M`.
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