A glass rod of radius `r_(1)` is inserted symmetrically into a vertical capillary tube of radius `r_(2)` such that their lower ends are at the same level. The arrangement is now dipped in water. Find the height to which water will rise in to the tube.
(S = surface tension of water, d= density of water).

Explanation

To solve the problem of finding the height to which water will rise in a capillary tube when a glass rod is inserted, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Water Column**:
The upward force acting on the water column due to surface tension can be expressed as:
\[
F_{\text{up}} = 2\pi R_1 \cdot S
...