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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: CAPILLARY TUBE
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audittn8 (0)

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Capillary tube sealed at the top has an internal radius of 0.05cm.The tube is placed verically in water,open end first.What should be the length of such a tube for the water column to rise in it to a length of 1 cm? Surface tension of water = 70 X  N/m.

    
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A straight forward sum that makes use of the formula:


 



S = Surface Tension of the liquid, r = inner radius of the capillary tube, etc. So go ahead!

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gauravtargetsiit (199)

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Since the tube is sealed at the top, so the pressure above water level in the tube will be zero .
hence we can't use the formula : h=2Scos(theta)/rpg .

So, Let W be the weight , S be the surface tension and P be the pressure at the bottom of the capillary tube in level with the water surface, then
W = (pie)*r^2 h*p*g

At equilibrium,
W = P*(pie)* r^2 + 2*(pie)* r*S
put the values and get the answer.....

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Oh yes, good work. I made a grave mistake there.
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gauravtargetsiit (199)

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thanx.....

Time is money, Money is the root of all evil, and knowledge is power. Therefore, Procrastination is the key to world peace.
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