Question

A large number of bullet are fired in all directions with the same speed $v$. What is the maximum area on the ground on which these bullets will spread?

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

Answer 1

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

Range of projectile is $\frac{u^2\sin 2\theta }{g}$
For $\theta =\frac{\pi }{4}$ range is maximum
Max range is $\frac{v^2}{g}$
and max area is $\frac{\pi v^4}{g^2}$