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Question:

Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is?

1:4

1:16

1:2

1:8

Solution:

R=u²sin2θ/g
A=πR²
A ∝ u⁴
A₁/A₂ = u₁⁴/u₂⁴ = [1/2]⁴ = 1/16.