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Question

Physics Question on Bernauli Theorem

According to Bernoullis equation Pρg+h+12v2g=constant\frac{P}{\rho g}+h+\frac{1}{2}\frac{{{v}^{2}}}{g}=\text{constant} The terms A, B and C are generally called respectively:

A

gravitational head, pressure head and velocity head

B

gravity, gravitational head and velocity head

C

pressure head, gravitational head and velocity head

D

gravity, pressure and velocity head

Answer

pressure head, gravitational head and velocity head

Explanation

Solution

According to Bernoullis theorem, in case of steady flow of incompressible and non-viscous liquid through a tube of non-uniform cross-section, the sum of the pressure, the potential energy per unit volume and the kinetic energy per unit volume is same at every point in the tube, i.e.,
P+ρgh+12ρv2=constantP+\rho gh+\frac{1}{2}\rho {{v}^{2}}=\text{constant}
Dividing this expression by
ρg,\rho g, we have Pρg+v22g+h=constant\frac{P}{\rho g}+\frac{{{v}^{2}}}{2g}+h=\text{constant}
In this expression Pρg\frac{P}{\rho g}
is called the pressure head, v22g\frac{{{v}^{2}}}{2g}
the velocity head and hh the gravitational head.