Question

A vent tank of large cross-sectional area has a horizontal pipe 0.12 m in diameter at the bottom. This holds a liquid whose density is 1500 kg/m³ to a height of 4.0 m. Assume the liquid is an ideal fluid in laminar flow. In figure, the velocity with which fluid flows out is (g = 10 m/s²)

• A. $2\sqrt{5}$m/s
• B. $\sqrt{5}$ m/s
• C. $4\sqrt{5}$m/s
• D. $\sqrt{10}$m/s

Answer 1

Answer: (C)

$4\sqrt{5}$ m/s

Answer 2

Using Torricelli's Law, $v = \sqrt{2gh}$. With $g = 10$ m/s² and $h = 4.0$ m, $v = \sqrt{2 \times 10 \times 4.0} = \sqrt{80} = 4\sqrt{5}$ m/s.