Question

A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is $v$, the total area around the fountain that gets wet is

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

Answer 1

Answer: (C)

Area $=\pi R_{\max }^{2}$
$R_{\max }=\frac{v^{2} \sin 90^{\circ}}{g}=\frac{v^{2}}{g}$
$\Rightarrow $ Area $=\frac{\pi v^{4}}{g^{2}}$