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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 belowJEE Main 2024 (29 Jan Shift 1)ABoth Statement I and Statement II are trueBBoth Statement I and Statement II are falseCStatement I is true but Statement II is falseDStatement I is false but Statement II is true

Question

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 belowJEE Main 2024 (29 Jan Shift 1)ABoth Statement I and Statement II are trueBBoth Statement I and Statement II are falseCStatement I is true but Statement II is falseDStatement I is false but Statement II is true

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Solution

The correct answer is C. Statement I is true but Statement II is false.

Here's why:

The height of capillary rise is inversely proportional to the temperature of the liquid. This is because as the temperature increases, the viscosity and surface tension of the liquid decrease, which results in a lower capillary rise. Therefore, when a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will indeed be smaller in hot water, making Statement I true.

On the other hand, Statement II is the exact opposite of Statement I and contradicts the principle of capillary action in relation to temperature. Therefore, Statement II is false.

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