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Question: Answered & Verified by Expert
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
PhysicsCenter of Mass Momentum and CollisionMHT CETMHT CET 2023 (13 May Shift 1)
Options:
  • A $\frac{\pi \mathrm{u}^2}{\mathrm{~g}}$
  • B $\frac{\pi \mathrm{u}^4}{\mathrm{~g}^2}$
  • C $\frac{\pi^2 u^4}{g^2}$
  • D $\frac{\pi^2 u^2}{g^2}$
Solution:
1885 Upvotes Verified Answer
The correct answer is: $\frac{\pi \mathrm{u}^4}{\mathrm{~g}^2}$
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 $\pi \mathrm{R}_{\max }^2=\pi\left(\frac{\mathrm{u}^2}{\mathrm{~g}}\right)^2=\frac{\pi \mathrm{u}^4}{\mathrm{~g}^2}$

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