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Mechanical Properties of Fluids

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Physics Part II

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12

What will be the pressure inside a small air bubble of 0.1 mm radius situated just below the free surface of water?

(S.T. of water = 72dyne/cm; Atmospheric pressure 1.013 x 106 dyne/cm2 )


Excess of pressure inside the air bubble is given by,

increment straight P space equals space straight P subscript straight i space minus space straight P subscript straight o space equals space fraction numerator 2 straight T over denominator straight r end fraction
straight P subscript straight i space equals space straight P subscript 0 space plus space fraction numerator 2 straight T over denominator straight r space end fraction
straight P subscript straight o space equals space 1.013 space cross times space 10 to the power of 6 space

Surface space tension space of space water space equals space 72 space dyne divided by cm

straight r space equals space 0.1 space mm space equals space 10 to the power of negative 2 end exponent space cm

straight P subscript straight i space equals space 1.013 space cross times space 10 to the power of 6 space plus space fraction numerator 2 cross times 72 over denominator 10 to the power of negative 2 end exponent end fraction space

space space space space equals space 1.013 space cross times space 10 to the power of 6 space plus space 144 space cross times space 10 squared space

space space space space equals space 1.013 space cross times space 10 to the power of 6 space plus space 0.0144 space cross times space 10 to the power of 6 space
space space space
space space space space equals space 1.0274 space cross times space 10 to the power of 6 space end exponent dyne divided by cm squared space

Here comma space straight P subscript straight i space is space the space required space pressure
space inside space the space small space air space bubble. space

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Do intermolecular or inter-atomic forces follow inverse square law?

No. Intermolecular and inter-atomic forces do not obey the inverse square law. 
1257 Views

What is hydrodynamics?

Hydrodynamics is the branch of science that studies about the force exerted by the fluids or acting on the fluids. 
799 Views

Why solids have definite shape while liquids do not have definite shape?

Solids: Intermolecular forces are very strong and thermal agitations are not sufficiently strong to separate the molecules from their mean position. Solids are rigid and hence they have definite shapes.
Liquids: In liquids intermolecular forces are not sufficiently strong to hold the molecules at definite sites, as a result they move freely within the bulk of liquid, therefore, do not possess definite shapes. Liquids take the same shape as that of the container. 
977 Views

What is fluid?

Any material that can flow is a fluid. Liquids and gases are examples of fluid.


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What is hydrostatics?

Hydrostatics is the branch of fluid mechanics that studies incompressible fluids at rest. The study of fluids at rest or objects placed at rest in fluids is hydrostatics.
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