This question has Statement-I and Statement-2. Of the four ch.oices 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.

A Statement \(- 1\) is true, Statement \(-2\) is true; Statement \(-2\) is not the correct explanation for Statemer \(- 1\)
B Statement \(-1\) is false, Statement \(-2\) is true
C Statement \(- 1\) is true, Statement \(-2\) is false
D Statement \(- 1\) is true, Statement \(-2\) is true; Statement \(-2\) is the correct explanation for Statement \(- 1\)

Verified Solution

Answer & Solution

Correct Answer

(B) Statement \(-1\) is false, Statement \(-2\) is true

Step-by-step Solution

Detailed explanation

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.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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