Q. A large number of bullets are fired in all directions with same speed $v$. What is the maximum area on the ground on which these bullets will spread
A) $\pi\frac{v^{2}}{g}$
B) $\pi\frac{v^{4}}{g^{2}}$
C) $\pi^{2}\frac{v^{4}}{g^{2}}$
D) $\pi^{2}\frac{v^{2}}{g^{2}}$
Explanation
(b) Area in which bullet will spread $= \pi r^{2}$
For maximum area, $r = R_{\max} = \frac{v^{2}}{g}\ \lbrack When\ \theta = 45{^\circ}\rbrack$
Maximum area $\pi R_{\max}^{2} = \pi\left( \frac{\upsilon^{2}}{g} \right)^{2} = \frac{{\pi\upsilon}^{4}}{g^{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.