Mechanical Properties of Fluids

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Question

n identical drops of liquid of surface tension T each of radius r coalesce to form single drop. Find the energy released in the process.

Solution

Let R be the radius of the big drop.
Since on coalesce of droplets, the volume of liquid remains constant, therefore

Decrease space in space surface space area space during space coalesce space is comma space increment straight A space equals space straight A subscript 1 space minus space straight A subscript 2 space space space space space space space space space equals space 4 straight pi space left parenthesis nr squared space minus space straight R squared right parenthesis space equals space 4 πr squared left parenthesis straight n space minus space straight n to the power of 2 divided by 3 end exponent right parenthesis space Energy space released space during space coalesce space is comma space straight E space equals space increment straight A space cross times straight T space equals space 4 πTr squared space left parenthesis straight n space minus space straight n to the power of 2 divided by 3 end exponent right parenthesis space rightwards double arrow 1 half straight rho 4 over 3 straight pi space straight R cubed straight v squared space equals space 4 πTr squared left parenthesis straight n space minus space straight n to the power of 2 divided by 3 end exponent right parenthesis rightwards double arrow space 1 half straight rho 4 over 3 straight pi space nr cubed space straight v squared space equals space 4 πT space straight r squared space left parenthesis straight n minus straight n to the power of 2 divided by 3 end exponent right parenthesis space rightwards double arrow space 1 over 6 space straight rho space nrv squared space equals space straight T space left parenthesis straight n minus straight n to the power of 2 divided by 3 end exponent right parenthesis space rightwards double arrow space straight v space equals space square root of fraction numerator 6 straight T space left parenthesis straight n minus straight n to the power of 2 divided by 3 end exponent right parenthesis over denominator ρnr end fraction end root

For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

n identical drops of liquid of surface tension T each of radius r coalesce to form single drop. Find the energy released in the process.

Some More Questions From Mechanical Properties of Fluids Chapter

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.

What is the direction of pressure?

What is the direction in which pressure exerts force on the walls of a container?

What is the SI unit of pressure?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction