1.

When sound is produced in an aeroplane with a velocity of 200 m/s horizontally its echo is heard after 10sqrt(5)seconds. If velocity of sound in air is 300 ms^(-1)the elevation of aircraft is

Answer»

250 m
`250 sqrt(5)` m
1250 m
2500 m

SOLUTION :Time for the ECHO `=10sqrt(5)s` (i.e. For sound to travel ABC)
Velocity of the plane = 200 m/s
OC `=200 xx 5sqrt(5) = 2236`m
BC = velocity of sound ` xx 5sqrt(5)`
`rArr` BC `=300 xx 5sqrt(5) = 3354`m
`therefore OB = sqrt(BC^(2) - OC^(2))`
`rArr OB ~= 2500 m` The plane is 2500 m abvoe the ground.


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