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What is capillarity? Derive an expressio...

What is capillarity? Derive an expression for the height to which the liquid rise in capillary tube of `r` with angle of contact ` theta`. Give two examples of capillarity from daily life.

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### Solution **Step 1: Definition of Capillarity** Capillarity is the phenomenon of the rise or fall of a liquid in a narrow tube (capillary tube) due to the interplay of cohesive and adhesive forces. When a capillary tube is placed in a liquid, the liquid either rises or falls in the tube depending on the nature of the liquid and the tube material. **Step 2: Understanding the Setup** Consider a capillary tube of radius \( r \) immersed vertically in a liquid. The liquid forms a meniscus at the surface, which is concave if the liquid wets the tube (like water in glass). The angle of contact is denoted as \( \theta \). ...
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