What is the height of water in an inclined capillary tube?

In summary, a vertical capillary tube can hold water up to a length of 10 cm. When the tube is inclined at 45 degrees, the length of water risen in the tube depends on the surface tension, contact angle, radius of the capillary, density of the liquid, and acceleration due to gravity. The formula for calculating the height of liquid in a vertical capillary can be used for inclined capillaries by considering the change in pressure.
  • #1
vissh
82
0
heya :D

Homework Statement


(Q)Water rises in a vertical capillary tube upto a length of 10 cm. If the tube is inclined at 45 degrees, the length of water risen in the tube will be
<a>10 cm <b>10/(2)1/2 <c>10(2)1/2 <d>None of these

Homework Equations


Height raised in capillary, h = [2S(cosA)]/[rpg]
--where S is surface tension, A is the contact angle , r is the radius of capillary , p is the density of liquid and g is acceleration due to gravity

The Attempt at a Solution


I know this above formula for height of liquid when the capillary is kept vertical .But don't know how to use it for the inclined capillary.
Can any1 help me out :)
Thanks for reading ^.^
 
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  • #2
Think about this: To keep the pressure at a height 'h' from the ground equal, the level of mercury changes when the tube is inclined. Think about pressure at a fixed point in both the cases :wink:
 

What is a capillary tube?

A capillary tube is a thin, hollow tube with a small internal diameter, typically less than 1 mm. It is usually made of glass or plastic and is used for transferring small amounts of liquid.

How does water behave in a capillary tube?

Water in a capillary tube exhibits capillary action, which is the ability of a liquid to flow against gravity in narrow spaces. This is due to the cohesive forces between water molecules and the adhesive forces between water and the walls of the tube.

What factors affect the rise of water in a capillary tube?

The rise of water in a capillary tube is affected by the diameter of the tube, the surface tension of water, and the angle of contact between water and the walls of the tube. Temperature and the type of material the tube is made of can also have an impact.

Can water flow downwards in a capillary tube?

Yes, water can flow downwards in a capillary tube. This is known as capillary depression and occurs when the adhesive forces between water and the walls of the tube are greater than the cohesive forces between water molecules.

What are some applications of water in capillary tubes?

Capillary tubes are commonly used in medical devices, such as blood glucose meters and pregnancy tests, to transfer small amounts of bodily fluids for testing. They are also used in scientific experiments to measure surface tension and in industrial processes for precise measurement and transfer of liquids.

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