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EEJ MAIN Physics QUESTION #7091
Question 1
Guns A and B fire bullets at $1\text{ km/s}$ and $2\text{ km/s}$. Find the ratio of the maximum areas covered on the ground.
  • 1:16✔️
  • 1:02
  • 1:04
  • 1:08
Correct Answer Explanation

The maximum range is $R_{max} = \frac{u^2}{g}$.

  • Area covered is a circle: $A = \pi R_{max}^2 = \pi (\frac{u^2}{g})^2 \propto u^4$.
  • Ratio: $\frac{A_1}{A_2} = (\frac{u_1}{u_2})^4 = (\frac{1}{2})^4 = 1:16$.