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Capillarity

The lower end of a capillary tube of radius r is placed vertic

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The lower end of a capillary tube of radius r is placed vertically in water. With the rise h of water in the capillary tube, evolved is (Take p as the density of water)

Name: Video solution 1: The lower end of a capillary tube of radius r is placed vertically in water. With the rise h of water in the capillary tube, evolved is (Take p as the density of water)
Uploaded: 2023-10-24T11:05:58.000Z
Duration: 6 min
Description: Video solution 1: The lower end of a capillary tube of radius r is placed vertically in water. With the rise h of water in the capillary tube, evolved is (Take p as the density of water)

\frac{2 π}{p g} \times h

\frac{π}{p g} \times h r

zero

\frac{π r ^{2} h ^{2} p g}{2}

Views: 5,447 students

Updated on: Oct 24, 2023

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The lower end of a capillary tube of radius r is placed vertically in water. With the rise h of water in the capillary tube, evolved is (Take p as the density of water)

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Text solutionVerified

When the tube is placed vertically in water, water rises through height

h

given by,

h = \frac{4 T cos θ}{r p g}

upward force

= 2 π \times T cos θ

Work done by this force is raising water column through height

h

is given by

Δ W = (2 π T cos θ) h

= (2 πh cos θ) T

= (2 π r h cos θ) (\frac{r h p g}{4 cos θ})

= \frac{π r ^{2} h ^{2} p g}{2}

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Question Text	The lower end of a capillary tube of radius r is placed vertically in water. With the rise h of water in the capillary tube, evolved is (Take p as the density of water)
Updated On	Oct 24, 2023
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	209
Avg. Video Duration	6 min

The lower end of a capillary tube of radius r is placed vertically in water. With the rise h of water in the capillary tube, evolved is (Take p as the density of water)

Text solutionVerified

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The lower end of a capillary tube of radius r is placed vertically in water. With the rise h of water in the capillary tube, evolved is (Take p as the density of water)

Text solutionVerified

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