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 ared fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is :

Options

A. `1:27`
B. `1:81 `
C. `1:256`
D. `1:49`

Answer

C

Explanation

`R = (u^2sin 2 theta)/(g)`
` R_(max) = (u^2)/(g)`
Area = `pi R_(max)^2`
`A_1/A_2 = (R_1/R_2)^2 = (u_1^4)/(u_2^4) = (1/4)^4 = 1/256`