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Physics / College Physics 1 / Chapter 11 / Problem 63

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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Suppose water is raised by capillary action to a height of

Chapter 11, Problem 63

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QUESTION:

Problem 63PE

Suppose water is raised by capillary action to a height of 5.00 cm in a glass tube. (a) To what height will it be raised in a paraffin tube of the same radius? (b) In a silver tube of the same radius?

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QUESTION:

Problem 63PE

Suppose water is raised by capillary action to a height of 5.00 cm in a glass tube. (a) To what height will it be raised in a paraffin tube of the same radius? (b) In a silver tube of the same radius?

ANSWER:

Part (a)

Step 1 of 4:

If we insert a narrow tube inside a liquid, the liquid starts rising inside the tube. This is because of the adhesive force between the liquid and the tube. We are going to calculate the height raised inside the paraffin tube. The radius of the paraffin tube is similar that of the glass tube. We need to find it before proceeding further. Here the liquid is water.

The height raised in glass tube $h sub g \ equals \ 5.00 \ cm$ or $0.05 \ m$

The angle of contact between the water and the glass $theta sub g \ equals \ zero$

The acceleration due to gravity $g \ equals \ 9.8 \ m times s super minus 2$

The density of water $rho \ equals \ 10 cubed \ kg times m super minus 3$

The surface tension of water at room temperature $gamma \ equals \ 0.0728 \ cap n times m super minus 1$

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