Question

A man fires a large number of bullets in all directions with same speed $\upsilon$. The maximum area on the ground on which these bullets will spread is :

• A. $\frac{\pi v^2}{g}$
• B. $\frac{v^4}{g^2}$
• C. $\frac{\pi v^4}{g^2}$
• D. $\frac{v^2}{g^2}$

Answer 1

The correct option is C $\frac{\pi v^4}{g^2}$

From maximum area $[\theta ={45}^0]$

Range $R_{max}=\frac{v^2}{g}$

$\because$ Area in which bullet will spread $=\pi r^2$

$\therefore$ Maximum area $\pi R_{max}^2=\pi \left(\frac{v^2}{g}\right)=\frac{\pi v^4}{g^2}$