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  4. This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statetnents. Statement-1: A capillary is dipped in a liquid and liquid rises to a height h in it. As the temperature of the liquid is raised, the height h increases (if the density of the liquid and the angle of contact remain the same). Statement-2: Surface tension of a liquid decreases with the rise in its temperature.

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Q. This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statetnents.
Statement-1 : A capillary is dipped in a liquid and liquid rises to a height $h$ in it. As the temperature of the liquid is raised, the height $h$ increases (if the density of the liquid and the angle of contact remain the same).
Statement-2 : Surface tension of a liquid decreases with the rise in its temperature.

JEE MainJEE Main 2013Mechanical Properties of Fluids

Solution:

Surface tension of a liquid decreases with the rise in temperture. At the boiling point of liquid, surface tension is zero.
Capillary rise $h = \frac{2T \,cos\,\theta}{rdg}$
As surface tension $T$ decreases with rise in temperature hence capillary rise also decreases.