Question

If the pressure difference between the two points of a horizontal pipe is $0.1p_{atm}$ , then the velocity water flow in the pipe is :

• A. $\sqrt{10}m{s}^{-1}$
• B. $\sqrt{20}m{s}^{-1}$
• C. $10m{s}^{-1}$
• D. $14m{s}^{-1}$

Answer 1

Answer: (B)

$\sqrt{20}m{s}^{-1}$

The difference in pressure is given as,

$\Delta P=\rho gh$

$0.1\times {10}^5=\rho gh$

The velocity of water flow is given as,

$v=\sqrt{2gh}$

$v=\sqrt{2g\times \frac{0.1\times {10}^5}{{10}^3\times g}}$

$v=\sqrt{20}m/s$