A false statement is

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$If the radius of capillary is reduced to half, the rise of liquid column becomes four times$

$If the radius of capillary is reduced to half, the rise of liquid column becomes two times$

$Angle of contact θ < 90^{0}, if cohesive force < adhesive force \times \sqrt{2}$

$Angle of contact θ > 90^{0}, if cohesive force < adhesive force \times \sqrt{2}$

answer is D.

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Detailed Solution

When a solid and a liquid make a 90° angle of contact, it indicates that they are in equilibrium and that the cohesive forces are equal to the adhesive forces.

The rise of water column in a capillary tube is inversely proportional to the radius of the tube. hence, when the radius is reduced to half, the rise will be twice.

Therefore the incorrect statement is

$If the radius of capillary is reduced to half, the rise of liquid column becomes four times .$