Q.

A rifle shoots a bullet with a muzzle velocity of 400 m/sec at a small target 400 metre away. The height above the target at which the bullet must be aimed to hit the target is: (Take g =10ms-2)

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a

1 metre

b

5 metre

c

10 metre

d

0.5 metre

answer is B.

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Detailed Solution

Time taken by bullet to reach the target= distance  velocity = distance ucos⁡θAs θ is very small, cos θ = 1 Time = distance u=400400=1secVertical deflection of bullet=12gt2=12×10×(1)2=5 metre
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