Question

What is Torricelli's law of efflux???​

Answer 1

Explanation:

Torricelli’s law

1.Torricelli law states that the speed of flow of fluid from an orifice is equal to the speed that it would attain if falling freely for a distance equal to the height of the free surface of the liquid above the orifice.

2.Consider any vessel which has an orifice (slit)filled with some fluid.

3.The fluid will start flowing through the slit and according to Torricelli law the speed with which the fluid will flow is equal to the speed with which a freely falling bodyattains such that the height from which the body falls is equal to the height of the slit from the free surface of the fluid.

4.Let the distance between the free surface and the slit = h

5.Velocity with which the fluid flows is equal to the velocity with which a freely falling body attains if it is falling from a height .....

Derivation of the Law:-

• Let A1= area of the slit (it is very small), v1= Velocity with which fluid is flowing out.
• A2=Area of the free surface of the fluid,v2=velocity of the fluid at the free surface.
• From Equation of Continuity, Av=constant.Therefore A1v1 = A2v2.
• From the figure, A2>>>A1, This implies v2<<v1(This meansfluid is at rest on the free surface), Therefore v2~ 0.
• Using Bernoulli’s equation,
• P+ (1/2) ρ v2+ρgh = constant...
• Applying Bernoulli’s equation at the slit:

I hope this is help you.......

Answer 2

Answer:

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Answer

Torricelli's law, also known as Torricelli's theorem, is a theorem in fluid dynamics relating the speed of fluid flowing from an orifice to the height of fluid above the opening. The law states that the speed v of efflux of a fluid through a sharp-edged hole at the bottom of a tank filled to a depth h is the same as the speed that a body (in this case a drop of water) would acquire in falling freely from a height h, i.e. {\displaystyle v={\sqrt {2gh}}}v = \sqrt{2gh}, where g is the acceleration due to gravity (9.81 m/s2 near the surface of the Earth). This expression comes from equating the kinetic energy gained, {\displaystyle {\frac {1}{2}}mv^{2}}\frac{1}{2} mv^2, with the potential energy lost, mgh, and solving for v. The law was discovered (though not in this form) by the Italian scientist Evangelista Torricelli, in 1643. It was later shown to be a particular case of Bernoulli's principle.

Explanation:

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