A large number of bullets are fired in all directions with same speed ' $U$ '. The maximum area on the…
A large number of bullets are fired in all directions with same speed ' $U$ '. The maximum area on the ground on which the bullets will spread is
$\frac{\pi \mathrm{u}^2}{\mathrm{~g}}$
$\frac{\pi \mathrm{u}^4}{\mathrm{~g}^2}$
$\frac{\pi^2 u^4}{g^2}$
$\frac{\pi^2 u^2}{g^2}$
Solution
Area in which bullet will spread $=\pi r^2$ For maximum area, $r=R_{\max }=\frac{\mathrm{u}^2}{\mathrm{~g}}\left[\right.$ when $\left.\theta=45^{\circ}\right]$ Maximum area $\pi \mathrm{R}_{\max }^2=\pi\left(\frac{\mathrm{u}^2}{\mathrm{~g}}\right)^2=\frac{\pi \mathrm{u}^4}{\mathrm{~g}^2}$