Question

What will be the basis of Bernoulli's equation?
A. Isochoric process
B. Isobaric process
C. Isothermal process
D. Adiabatic process

Answer 1

Hint: Bernoulli's principle is explained on the basis of the principle of conservation of energy. This law says that in a steady flow the sum of all kinds of mechanical energy in a fluid along a streamline will be the identical one at all positions on that streamline. This will be helpful in answering this question.

Complete answer:
Bernoulli's principle is explained on the basis of the principle of conservation of energy. This law says that in a steady flow the sum of all kinds of mechanical energy in a fluid along a streamline will be the identical one at all positions on that streamline. This needs that the sum of the kinetic energy and the potential energy will remain fixed. When the fluid will be flowing out of a reservoir the summation of all kinds of the energy will be the same on all streamlines due to the reservoir's energy per unit mass. Therefore the sum of the pressure and gravitational potential will be the same everywhere.
The Bernoulli’s equation will be given as,
$\dfrac{{{v}^{2}}}{2}+gz+\dfrac{p}{d}=\text{constant}$
Where $v$ be the speed of the fluid flow, $z$ be the elevation of the point above the reference plane, $p$be the pressure and $d$ be the density.
In this process the temperature will be found to be fixed. Hence it will be the isothermal process.

Therefore the correct option will be mentioned as C.

Note:
Bernoulli’s principle is helpful in studying the flow of the unsteady potential which will be useful in the theory of ocean surface waves and the acoustics. It will be also helpful in approximation of parameters such as the pressure and speed of the fluid.