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An aeroplane is travelling horizontally ...

An aeroplane is travelling horizontally at a height of 2000m from the ground. The aeroplane, when at a point P, drops a bomb to hit a stationary target Q on the ground. In order that the bomb hits the taret, what angle `theta` must the line PQ make with the vertical? `[g=10ms^(-2)]`

A

`15^(@)`

B

`30^(@)`

C

`90^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Let t be the taken by bomb to hit the target.
`h=2000=1/2g t^(2)rArr t=20` sec
`R=ut=(100)(20)=2000 m`
`:' tan theta=R/h=2000/2000=1 rArr theta=45^(@)`
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