A vessel, whose bottom has a hole of diameter 0.2mm, is filled with water. Find the maximum height to which the water can be filled without leaking it from the hole. (Surface tension of water is 70 dyne/cm)

Solution

Let the vessel be filled to a height of h.

The force exerted by height column of water will be balanced by surface tension force on the free surface of water at the hole, at equilibrium.

That is,

ρgh \times {πr}^{2} = 2 πr \times T \Rightarrow h = \frac{2 T}{rpg} He r e, T = 70 dyne / cm r = d / 2 = 0.1 mm = 0.01 cm, ρ = 1 gm / cc, g = 1000 cm / s^{2} ∴ h = \frac{2 \times 70}{0.01 \times 1 \times 1000} = 14 cm

So, 'h' is the maximum height to which the water can be filled without leaking it from the hole.

Some More Questions From Mechanical Properties of Fluids Chapter

For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

A vessel, whose bottom has a hole of diameter 0.2mm, is filled with water. Find the maximum height to which the water can be filled without leaking it from the hole. (Surface tension of water is 70 dyne/cm)

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