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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

A soap bubble of radius 10mm is blown from soap solution of surface tension 0.06 N/m. Find the work done in blowing the bubble. What addition work will be done in further blowing to double the radius?


The soap bubble is formed from the soap solution.

Therefore, increase in the surface area of soap bubble is equal to total surface area of soap bubble.

Since the soap bubble has two free surfaces, therefore increase in area of free surface of bubble is,

ΔA subscript 1 equals 2 cross times 4 πr squared

We have,

Radius of the soap bubble, r = 1mm=10-3 

therefore

I n c r e a s e space i n space a r e a comma space increment straight A subscript 1 equals 2 cross times 4 straight pi left parenthesis 10 to the power of negative 3 end exponent right parenthesis squared

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2.51 cross times 10 to the power of negative 6 end exponent straight m squared 

Now the work done in blowing the bubble

straight W subscript 1 equals capital delta A subscript 1 cross times straight T

space space space space space equals 2.51 cross times 10 to the power of negative 6 end exponent cross times 0.06

space space space space space equals 1.5 cross times 10 to the power of negative 7 end exponent straight J
space space space space space equals 1.5 space e r g s

Additional work done in doubling the radius of bubble is,

straight W space equals space ΔA cross times straight T

space space space space space equals 7.53 cross times 10 to the power of negative 6 end exponent cross times 0.06

space space space space space equals 4.5 cross times 10 to the power of negative 7 end exponent straight J equals 4.5 space ergs 



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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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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. 
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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. 
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What is hydrodynamics?

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