Question

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) π v²/g

(b) π v⁴/g²

(c)  π² v⁴/g²

(d) π² v²/g²

Answer 1

Correct Option  (b) π v⁴/g²

Explanation:

Area in which bullet will spread = πr²

Answer 2

The maximum range of a projectile projected with speed v  is

R = v^2/g

It should be the radius of the maximum area covered.

Hence maximum area = πR^2=πv^4/g^2

Hence option (b) accepted