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Statement I: Finer the capillary, greate...

Statement I: Finer the capillary, greater is the height to which the liquid rises in the tube
Statement II: This is in accordance with the ascent formula.

A

Statement I is true, statement II is true and Statement II is a correct explanation for Statement I.

B

Statement I is true, Statement II is true and Statement II is NOT the correct explanation for Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements, we need to understand the concepts of capillary action and the ascent formula. ### Step-by-Step Solution: 1. **Understanding Statement I**: - Statement I claims that "Finer the capillary, greater is the height to which the liquid rises in the tube." - This means that if we have a capillary tube with a smaller radius (finer), the liquid will rise to a greater height compared to a capillary tube with a larger radius. 2. **Understanding Statement II**: - Statement II states that "This is in accordance with the ascent formula." - The ascent formula for capillary action is given by: \[ h = \frac{2s \cos \theta}{r \rho g} \] - Here, \( h \) is the height to which the liquid rises, \( s \) is the surface tension of the liquid, \( \theta \) is the contact angle, \( r \) is the radius of the capillary tube, \( \rho \) is the density of the liquid, and \( g \) is the acceleration due to gravity. 3. **Analyzing the Ascent Formula**: - From the ascent formula, we can see that the height \( h \) is inversely proportional to the radius \( r \) of the capillary tube. This means: \[ h \propto \frac{1}{r} \] - Therefore, if the radius \( r \) decreases (the capillary tube becomes finer), the height \( h \) increases. This confirms Statement I. 4. **Conclusion**: - Since Statement I is true (finer capillary leads to greater height) and Statement II correctly explains why this is the case (due to the ascent formula), both statements are true. - Thus, the correct conclusion is that both statements are true and Statement II is the correct explanation for Statement I. ### Final Answer: Both Statement I and Statement II are true, and Statement II is the correct explanation for Statement I. ---

To analyze the given statements, we need to understand the concepts of capillary action and the ascent formula. ### Step-by-Step Solution: 1. **Understanding Statement I**: - Statement I claims that "Finer the capillary, greater is the height to which the liquid rises in the tube." - This means that if we have a capillary tube with a smaller radius (finer), the liquid will rise to a greater height compared to a capillary tube with a larger radius. ...
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