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Mechanical Properties of Fluids

Capillarity

A uniform capillary tube of inner radius r is dipped verticall

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Medium

Solving time: 3 mins

A uniform capillary tube of inner radius $r$ is dipped vertically into a beaker filled with water. The water rises to a height $h$ in the capillary tube above the water surface in the beaker. The surface tension of water is $σ$ . The angle of contact between water and the wall of the capillary tube is $θ$ . Ignore the mass of water in the meniscus. Which of the following statements is (are) true?

For a given material of the capillary tube,

h

decreases with increase in

r

For a given material of the capillary tube,

h

is independent of

σ

If this experiment is performed in a lift going up with a constant acceleration, then

h

decreases

h

is proportional to contact angle

θ

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Book:

Physics for JEE Main and Advanced Mechanics 2 (McGraw Hill)

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Luna Discussed

A uniform capillary tube of inner radius

r

is dipped vertically into a beaker filled with water. The water rises to a height

h

in the capillary tube above the water surface in the beaker. The surface tension of water is

σ

. The angle of contact between water and the wall of the capillary tube is

θ

. Ignore the mass of water in the meniscus. Which of the following statements is (are) true?

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Capillary rise

h = \frac{2 σ c o s θ}{r ρ g}

For a given material of the tube

θ

is constant. Therefore,

h

decreases with increase in

r

h

is dependent on

σ

. In a lift that is accelerating up, the effective acceleration is greater than

g

. Hence,

h

decreases.

h

is not proportional to

θ

; it is proportional to

cos θ

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Question Text	A uniform capillary tube of inner radius $r$ is dipped vertically into a beaker filled with water. The water rises to a height $h$ in the capillary tube above the water surface in the beaker. The surface tension of water is $σ$ . The angle of contact between water and the wall of the capillary tube is $θ$ . Ignore the mass of water in the meniscus. Which of the following statements is (are) true?
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	141

Text solutionVerified

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