At what speed, the velocity head of water is equal to press…

Physics Fluid Mechanics Continuity Equation and Bernoulli Theorem & Their Application MCQ (Single Correct)

At what speed, the velocity head of water is equal to pressure head of 40 cm of hg?

10.3 m/s

2.8 m/s

5.6 m/s

8.4 m/s

Text Solution

Verified by Experts

The correct answer is:

Bernoulli’s equation for flowing liquid be written as

p + ρ v 2 + ρ gh = constant … (i)

Here, p = pressure energy per unit volume of liquid

ρ = density of liquid (water)

h = height of liquid column

v = velocity of liquid

and g = acceleration due to gravity Dividing Eq. (i) by ρ g, we have

+ + h = constant

It this expression is velocity head and is pressure head.

It is given that,

velocity head = pressure head

ie. =

or v 2 =

∴ v = 10.32 m/s

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