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A fighter plane flying horizontally pass...

A fighter plane flying horizontally passes over an antiaircraft gun with a uniform velocity 200 m`s^(-1)` . The gun can fire the shell with a velocity 200`sqrt(2)ms^(-1)` . At what angle should the gun fire the shell so as to hit the plane ?

A

`45^@`

B

`30^@`

C

`60^@`

D

`90^@`

Text Solution

Verified by Experts

The correct Answer is:
A
Let velocity of shell = U and velocity of plane = V
and `theta` be the angle at which shall is fired to hit the plane, then
`Ucostheta=Vimpliescostheta=V/U=200/(200sqrt(2))`
`costheta=1/sqrt(2)impliestheta=45^@`
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