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A long thin walled capillary tube of mass M and radius r is partially immersed in a liquid of surface tension T. The angle of contact for the liquid and the tube wall is 30°. How much force is needed to hold the tube vertically? Neglect buoyancy force on the tube.

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$M g + \sqrt{3} πrT$

$M g + 4 πrT$

Mg+2 $πrT$

Mg+2 $\sqrt{3} πrT$

answer is C.

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Detailed Solution

Force = Mg + force due to surface tension on the inner wall + force due to surface tension on the outer wall
$= Mg + 2 πrTcos θ + 2 πrTcos θ = Mg + 2 \sqrt{3} πrT$

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