JEE Mains · Physics · STD 11 - 9.2 surface tension

Given below are two statements: \(Statement\) \(I\) : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water. \(Statement\) \(II\) : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in cold water. In the light of the above statements, choose the most appropriate from the options given below

A Both Statement \(I\) and Statement \(II\) are true
B Both Statement \(I\) and Statement \(II\) are false
C Statement\(I\) is true but Statement \(II\) is false
D Statement \(I\) is false but Statement \(II\) is true

Verified Solution

Answer & Solution

Correct Answer

(C) Statement\(I\) is true but Statement \(II\) is false

Step-by-step Solution

Detailed explanation

Surface tension will be less as temperature increases \(\mathrm{h}=\frac{2 \mathrm{~T} \cos \theta}{\rho \mathrm{gr}}\) Height of capillary rise will be smaller in hot water and larger in cold water.

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.

Same subject

Explore more questions on app

From JEE Mains

Explore more questions on app