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A long capillary tube of mass pi gm, rad...


A long capillary tube of mass `pi` gm, radisu `2mm` and negligible thickness, is partially immersed in a liquid of surface tension `0.1(N)/(m)`. Take angle of contact zero and neglect buoyant force of liquid. The force required to hold the tube vertically, will be `(g=10(m)/(s^2)`)

A

`10.4pimN`

B

`10.8pimN`

C

`0.8pimN`

D

`4.8pimN`

Text Solution

Verified by Experts

The correct Answer is:
B

The free body diagram of the capillary tube is as shown in the figure. Net force F required to hold tube is
`F=`force due to surface tension at cross-section
`(S_1+S_2)+`weight of tube.
`=(2piRT+2piRT)+mg=4piRT+mg`
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