Question

An ideal flow of any fluid must satisfy
A. Pascal Law
B. Stokes law
C. continuity equation
D. Bernoulli theorem

Answer 1

Hint: Use the energy conservation in flow of ideal liquid.
Use the mass conservation in flow of ideal liquid.
Use the properties of flowing liquid and formula of continuity equation.

Complete step by step solution:
Continuity Equation: This equation is based on the principle of conservation of mass is called continuity equation.

Mass conservation: the law of conservation of mass or principle of mass conservation states that for any system closed to all, transfers of matter and energy, the mass of the system must remain constant over time as the system's mass cannot change, so quantity can neither be added nor be removed.

Pascal law: Pascal's law states that a pressure applied to a fluid in a closed container is transmitted equally to every point of the fluid and the wall of the container.
\[\begin{align}
  & P=\dfrac{F}{A} \\
 & P=Pressure \\
 & F=Force \\
 & A=Area \\
\end{align}\]
Stokes law: the drag force f on a sphere of radius a moves through a fluid of viscosity e at a speed is
\[F=6\pi a\eta v\]
Drag force is directly proportional to the radius.
\[F\propto a\]

Continuity equation: continuity equation represents that the product of the cross-sectional area of the pipe and the fluid speed at any point along the pipe is always constant. This product is equals to the volume flow for second or low rate
\[R=AV=constant.\]
Where,
R= Volume flow rate
A= Flow Area
V=Flow Velocity

So, option C is correct.

Note: It is important to understand mass conservation and continuity equations carefully. Explain all the laws in brief so that we can identify the correct options.