JEE Main 2019 — Physics solution

JEE Main2019Physics

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 :

A
1 : 2
B
1 : 4
C
1 : 8
D
1 : 16

Solution

$\frac{A _{1}}{A _{2}} = \frac{π R _{1, m a x}^{2}}{π R _{2, m a x}^{2}} = (\frac{u _{1}^{2}}{u _{2}^{2}})^{2} = (\frac{1}{4})^{2} = \frac{1}{16}$

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