Question

The number of bullets are fired in all possible directions with the same initial velocity $u$. The maximum area of ground covered by bullets is :

• A. $\pi\left(\frac{2 u^{2}}{g}\right)^{2}$
• B. $2 \pi\left(\frac{u}{g}\right)^{2}$
• C. $\pi\left(\frac{u}{2 g}\right)^{2}$
• D. $\pi\left(\frac{u^{2}}{g}\right)^{2}$

Answer 1

Answer: (D)

$\pi\left(\frac{u^{2}}{g}\right)^{2}$

Answer 2

Range $R=\frac{u^{2} \sin 2 \theta}{\dot{8}}$ Range $R$ will be maximum if $\sin 2 \theta=1$ so, $R_{\max }=\frac{u^{2}}{g}$ Maximum area covered $=\pi\left(R_{\max }\right)^{2}=\pi\left(\frac{u^{2}}{g}\right)^{2}$