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Mechanical Properties Of Fluids

Question
CBSEENPH11018372
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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 )

Solution

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

Some More Questions From Mechanical Properties of Fluids Chapter

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What is hydrostatics?

What is hydrodynamics?

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Can fluids withstand normal stress?

Why the fluids do not have any modulus of rigidity?

Which phase of fluid is more compressible?

What is an ideal liquid?

Do liquids exert pressure?

Define pressure.

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