Fluid MechanicsHard

Question

Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is ρ, the surface tension of water is T and the atmospheric pressure is P0. Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude
       

Options

A.|2P0Rh + πR2ρgh - 2RT|
B.|2P0Rh + Rρgh2 - 2RT|
C.|P0πR2 + Rρgh2 - 2RT|
D.|P0πR2 + Rρgh2 + 2RT|

Solution

       
(P0 + ρgx) 2Rdx - 2RT = F
2P0Rh + Rρgh2 - 2RT = F

Create a free account to view solution

View Solution Free
Topic: Fluid Mechanics·Practice all Fluid Mechanics questions

More Fluid Mechanics Questions

A block of ice floats on a liquid of density 1.2 in a beaker then level of liquid when ice completely melt : -...If M1 gm of a substance with specific gravity S1 is mixed with M2 gm of a substance with specific gravity S2 and then th...′Torr′ is the unit of :-...Which of the following is affected by cohesive forces :-...If one end of capilary tube is dipped into water then water rises up to 3cm. If the surface tension of water is 75 &#215...