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

Answer 1

Answer: (B)

$\pi \frac{v^4}{g^2}$

As we know that

$A=\pi R_{ma}^2$.....(1)
Maximum Range= $R_{ma}$=$\frac{v^2}{g}$............(2)
From (1) and (2) we get,
$A=\frac{\pi v^4}{g^2}$.