Correct Answer - Option 1 : No
option(1)
CONCEPT:
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Bernoulli's Principle states that the sum of the pressure energy, kinetic energy, and potential energy per unit volume of an incompressible, non-viscous fluid in a streamlined flow remains constant.
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Bernoulli's Principle is only applicable for an incompressible, non-viscous, and streamlined fluid.
It can be expressed as Mathematically
\(P+\dfrac{1}{2}ρ v^2 + ρ gh = \rm constant\)
Where P is pressure in the fluid, ρ is the density of the fluid, h is the mean height, g is the acceleration due to gravity.
EXPLANATION:
- No, Bernoulli's equation cannot be used to describe the rapid flow of water in a river because the rapid flow is turbulent and not streamlined.
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Bernoulli's equation is applicable to streamline the flow of a fluid.
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Streamline flow is the type of flow in which each particle of the liquid passing a given point moves along a straight path and has the same velocity or we can say that fluid velocity remains constant at any point of the streamline.
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Turbulent flow is those type of flow in which velocity exceeds a certain value and the path as well as velocity continuously start changing which means they don't remain constant.
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Pressure Energy: pressure energy is the energy of a fluid due to the applied pressure
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Kinetic Energy per unit volume is the type of energy that is responsible to make the particle of the fluid movement.
\(\rm K.E per unit volume = \dfrac{1}{2}\frac{M}{V}v^2= \frac{1}{2}ρ v^2\)
Where M/V is density, v is the velocity of the fluid, ρ is the density of the fluid
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Potential Energy is a type of energy possessed by a liquid by virtue of its position above the earth's surface is called its potential energy.
