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MHT-CET : Physics Entrance Exam

MHT - CET : Physics - Properties of Fluids Formulae Page 1

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1. Surface Energy

 

Surface energy = Surface tension surface area

 

2. Rise of Liquid in a Capillary

 

h

2 T cos q

 , where T is the surface tension of the liquid, q

r r g

 

is the angle of contact, r is the radius of the capillary bore and r the density of the liquid.

 

3. Free Surface Energy

 

For a drop, E = 4pr2T

For a bubble, E = 2 4pr2T, since a bubble has two free
surfaces.

 

4. Capillary Rise

 

Difference in heights in the two limbs of a U tube capillary, which is vertical, is

a.

b.

given by, h =  

2 T COsq

1

-

1

, where r1 and r2 are the radii of the two limbs of the capillary.

 

 

 

r g

r1

r2

 For two different capillaries: (same liquid)
    h1r1 = h2r2 

 

5. Total Surface Area of a Soap Bubble

 

Total surface area of a soap bubble = 2 surface area

 

6. Angle of Contact for Water and Glass

 

For water, angle of contact = q = 0 \ COsq = 1

 

r = 1 gm/cc : T =

hrg

 

2

 

7. Work Done in Breaking a Liquid Drop

 

If a liquid drop breaks into number of spherical droplets,
Work done =
T increase in surface area

 

8. Energy Released During Formation of a Liquid Drop

 

If liquid drops coalesce to form a single drop,
Decrease in surface energy =
T decrease in surface area

 

9. Work Done in Increasing the Radius of a Soap Bubble

 

Work done in increasing the radius of a soap bubble
=
T 2 increase in surface area

 

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