Bernoulli's theorem is related to ___________.

CONCEPT:

• Bernoulli's Theorem:  In the case of streamline flow of incompressible and non-viscous fluid or we can say the Ideal fluid through a tube, the total energy per unit mass of the fluid is the same at all points.
  • Total energy means the sum of pressure energy, potential energy, kinetic energy.

\(\frac{P}{\rho } + gh + \frac{1}{2}{v^2} = a\;constant\)

Where, P/ρ = pressure energy per unit mass, gh = potential energy per unit mass, and ½ v2 = K.E. per unit mass.

• A device used to measure the rate of flow of fluid is known as Venturimeter.
• This device works on Bernoulli's theorem.

EXPLANATION:

• From the above discussion, we can say that Bernoulli's theorem is related to the fluid. So option 4 is correct.

• Streamline flow: If a fluid flowing in such a way that velocity of all the fluid particles reaching a particular point is same at all time then it is a streamline flow.
• Turbulent flow: If a fluid flowing in such a way that velocity of all the fluid particles reaching a particular point is different at all time then it is a turbulent flow.
• Critical velocity: It is the maximum velocity up to which fluid motion is streamlined. If the velocity of the fluid is low than critical velocity it acts like a streamline flow otherwise it will act as turbulent flow.
• If the velocity of flow is less than critical velocity, the rate of flow of fluid depends basically on the viscosity of the fluid.
• If the velocity of flow is more than critical velocity, the rate of the flow depends on the density and not on the viscosity.