A) conservation of mass, energy and momentum
B) conservation of momentum
C) conservation of mass
D) conservation of energy
Correct Answer: D
Solution :
Bernoulli's theorem states that when an incompressible and non-viscous liquid (or gas) flows in stream-lined motion from one place to another then at every point in its path the total energy per unit volume (i.e., pressure energy + kinetic energy + potential energy) is constant. That is \[P+\frac{1}{2}\rho {{v}^{2}}+\rho gh=\text{constant}\] Thus, Bernoulli's theorem is in one form, the principle of conservation of energy for a flowing liquid (or gas). NOTE: Dividing the Bernoulli's equation be \[\rho g\], we have \[\frac{P}{\rho g}+\frac{{{v}^{2}}}{2g}+h=\text{cosntant}\] In this expression \[\frac{P}{\rho g}\] is called the 'pressure head', \[\frac{{{v}^{2}}}{2g}\] the 'velocity head' and h the 'gravitational head'.
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