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 :2`
B. `1 :8`
C. `1 :16`
D. `1 :4`

Answer

C

Explanation

`R=(u^(2)sin2theta)/grArrR_("max")=(u^(2))/grArr` Area `=piR_("max")^(2)`
`(A_(1))/(A_(2))=((R_(1))/(R_(2)))^(2)=(u_(1)^(4))/(u_(2)^(4))=(1/2)^(4)=1/16`