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A rifle shoots a bullet with a muzzle ve...

A rifle shoots a bullet with a muzzle velocity of `400 m s^-1` at a small target `400 m` away. The height above the target at which the bullet must be aimed to hit the target is `(g = 10 m s^-2)`.

A

1m

B

5m

C

10m

D

0.5m

Text Solution

Verified by Experts

The correct Answer is:
B

R=400m
`(u^(2) sin 2alpha)/(g)=400 rArr (400^(2) sin 2alpha)/(10)=400`
`rArr sin 2alpha=1//40 rArr alpha 1//80`
`h=R tan alpha =R alpha =(400)/(80) =5m`
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