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An aircraft moving with a speed of 1000 km/h is at a heirgh of 6000 m, just overhead of an anti-aircraft gun. If the muzzle velocity of the gun is 540 m/s, the firing angle `theta` for the bullet to hit the aircraft should be

A

`73^@`

B

`30^@`

C

`60^@`

D

`45^@`

Text Solution

Verified by Experts

The correct Answer is:
C
Displacement of aircraft in time `t=` horizontal displacement of projectile
`implies972xx(5)/(18)tV_0costheta.t`
`impliescostheta=(54xx5)/(540)=(1)/(2)impliestheta=60^@`
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