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Q.

 A vertical capillary tube with inside radius 0.25 mm is submerged into water so that the length of its part protruding over the water surface is equal to 25 mm. Surface tension of water is 73×103 N/m and angle of contact is zero degree for glass and water, acceleration due to gravity is 9.8  m/s2. Then value of R (in mm) is ‘x’.  Find 10x. (where R is radius of meniscus and h is height of water in capillary tube)

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answer is 6.

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Detailed Solution

Capillary height  h=2Tcosθrρg
h=59.6 mm
Here 59.6 mm is greater than the protruding part hence water will rise in the capillary of insufficient height 25 mm
Now,  R=2Thρg=0.5959=0.6 mm

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