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Pressure In A Fluid - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • 12 Questions around this concept.

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A cylindrical vessel of radius r is filled with a liquid to a height of h such that the force exerted by the liquid on the sides of the vessel is equal to that exerted at the bottom. The ratio \mathrm{\frac{h}{r}} is

A container, whose bottom has round holes with diameter 0.1 \mathrm{~mm} is filled with water. The maximum height in \mathrm{cm} upto which water can be filled without leakage will be what?
\mathrm{Surface \, \, tension =75 \times 10^{-3} \mathrm{~N} / \mathrm{m}and \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2 :}

 

Consider the equations
\mathrm{ P=\operatorname{Lim}_{\Delta S \rightarrow 0} \frac{F}{\Delta S} \text { and } P_1-P_2=\rho g z \text {. } }
In an elevator accelerating upward  :

A bottle is kept on the ground as shown in the figure. The bottle can be modelled as having two cylindrical zones. The lower zone of the bottle is filled with honey of density \mathrm{2 p} and has a cross-sectional radius \mathrm{\sqrt{2} R. }The upper zone is filled with water of density \mathrm{\rho} and has a cross-sectional radius \mathrm{\mathrm{R}}. The height of the upper zone is \mathrm{2 \mathrm{H}} and that of the lower zone is \mathrm{\mathrm{H}.} If now the honey and water are allowed to mix and form a homogeneous solution (assume that total volume doesn't change)

Concepts Covered - 1

Pressure in a fluid
  • Fluids- 

Fluids are the substances which began to flow when an external force is applied to it.

Fluids examples are liquids and gases.

Fluids don't have their own shape but they take shape of the containing vessel.

In Hydrostatic branch we study fluids which are at rest with respect to containing vessel.

While in Hydrodynamics we study fluids which are in motion with respect to containing vessel. For example study of flowing water from the tap comes under Hydrodynamics.

          Ideal fluids-  Assumption

  1. It is Incompressible- Means the density and the specific volume of the fluid do not change during the flow.

  2. It is Non-viscous- Layers of fluids does not exert any tangential force (especially friction force)  on each other. And A true "non-viscous" fluid would flow along a solid wall without any slowing down because of friction.

 

  • Pressure- 

 

  1. Normal force exerted by liquid/fluid at rest per unit Area of the surface is called pressure of a liquid/fluid.

          If F is the normal force acting on a surface area A in a container with liquid.

             then pressure exerted by liquid on this surface is P= \frac{F}{A}

  1. Units of pressure is N/m^{2} or Pascal (S.I) and dyne/cm^2  (C.G.S)

  2. The dimension of pressure is ML^{-1}T^{-2}

  3. Atmospheric pressure- The pressure exerted by the atmosphere is called atmospheric pressure. 1 atm is the value of atmospheric pressure on the surface of the earth at sea level.

And 1 \ atm = 1.01 \times 10^5 N/m^2=1.01 \times 10^5 Pascal=1.01 \ bar=760 \ torr

So Relation between bar and Pascal is 1 bar = 10^{5}Pa

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Pressure in a fluid

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Pressure in a fluid

Physics Part II Textbook for Class XI

Page No. : 251

Line : 19

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