Question

Water flows through a horizontal pipe of varying cross-section at the rate of $0.5m^2{s}^{-1}$. The speed of the water at a point where the area of cross section is $0.05m^2$ is

• A. $0.1{ms}^{-1}$
• B. $1{ms}^{-1}$
• C. $5{ms}^{-1}$
• D. $10{ms}^{-1}$

Answer 1

The correct option is D $10{ms}^{-1}$

As the water is treated as an incompressible non-viscous liquid Equation of continuity can be applied

here. So,

$Av=0.5m^3/S$ [given]

For $A=0.05M^3$

So, $\left(0.05\right)v=0.5$

$\Rightarrow v=10m/s$

Option $D$ is correct