JEE Mains · Physics · STD 11 - 3.2 motion in plane
Two guns \(A\) and \(B\) can fire bullets at speed \(1\, km/s\) 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 \(1:16\)
- B \(1:2\)
- C \(1:4\)
- D \(1:8\)
Answer & Solution
Correct Answer
(A) \(1:16\)
Step-by-step Solution
Detailed explanation
Area \( \propto \,\pi \) \({{\rm{(Range)}}^2} \propto {v^4}\) \(\therefore \frac{{{A_1}}}{{{A_2}}} = {\left( {\frac{1}{2}} \right)^4}\)
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