A thin capillary of inner radius `r_(1)` and outer radius `r_(2)` (The inner tube is solid) is dipped in water. To how much height will the water raise in the tube ? (Assume contact angle `theta rarr 0`)

Explanation

To find the height to which water will rise in a thin capillary tube with inner radius \( r_1 \) and outer radius \( r_2 \), we can use the principles of surface tension and hydrostatics. Here’s a step-by-step solution:

### Step 1: Understand the Forces Involved
When the capillary tube is dipped in water, the surface tension of the water creates an upward force that pulls the water up into the tube. This force is balanced by the weight of the water column that is raised in the tube.

### Step 2: Calculate the Force Due to Surface Tension
The force due to surface tension \( F \) can be calculated using the formula:
\[
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