Question

A tank is filled upto a height $H$. The horizontal range of water coming out of the hole which is at depth $\frac{H}{4}$ from the surface level of water is

• A. $\frac{2H}{\sqrt{3}}$
• B. $\frac{\sqrt{3}H}{2}$
• C. $\sqrt{3}H$
• D. $\frac{3H}{4}$

Answer 1

The correct option is B $\frac{\sqrt{3}H}{2}$

According to question -


We know, horizontal range of water coming out of the hole is given by
$R=2\sqrt{h(H-h)}$
$=2\sqrt{\frac{H}{4}\times \frac{3H}{4}}$
$=\frac{\sqrt{3}H}{2}$