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Assertion:- Rise of water level in capil...

Assertion:- Rise of water level in capilary tube should be accounted vertically and not on the length of the pipe in which it has rised
Reason:- More the radius, the rise will decrease for different liquids tested.

A

If both Assertion `&` Reason are True `&` the Reason is a correct explanation of the Assertion.

B

If both Assertion `&` Reason are True but Reason is not a correct explanation of the Assertion.

C

If Assertion is True but the Reason is False.

D

If both Assertion `&` Reason are False.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the rise of water level in a capillary tube should be accounted vertically and not based on the length of the pipe in which it has risen. - This is true because the height to which the liquid rises in a capillary tube is determined by the balance of forces acting on the liquid column, specifically the surface tension and the weight of the liquid. 2. **Understanding the Reason**: - The reason states that "more the radius, the rise will decrease for different liquids tested." - This statement is misleading. While it is true that the height of the liquid column is inversely proportional to the radius of the capillary tube (h ∝ 1/r), this relationship holds true for the same liquid. When different liquids are tested, the surface tension and contact angle also vary, which affects the height of the liquid column. 3. **Analyzing the Relationship**: - The height of the liquid in the capillary tube can be expressed by the formula: \[ h = \frac{2T \cos \theta}{\rho g r} \] where: - \( h \) = height of the liquid rise, - \( T \) = surface tension of the liquid, - \( \theta \) = contact angle, - \( \rho \) = density of the liquid, - \( g \) = acceleration due to gravity, - \( r \) = radius of the capillary tube. - From this formula, we can see that as the radius \( r \) increases, the height \( h \) decreases, but this is only valid for the same liquid. 4. **Conclusion**: - The assertion is true because the rise of water is indeed measured vertically. - The reason is false because it incorrectly states the relationship between radius and height for different liquids without considering the effects of surface tension and contact angle. ### Final Answer: - Assertion: True - Reason: False - Therefore, the correct answer is that the assertion is true and the reason is false.
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