When a glass capillary tube is dipped in pure water, water rises to a height .h. in the tube. Capillary tube is pushed down till its height above the surface of water is `h^(1)[h^(1)lth]`. Find the relation between h and `h^(1)`.

Explanation

To solve the problem of finding the relationship between the heights \( h \) and \( h' \) when a glass capillary tube is dipped into water and then pushed down, we can follow these steps:

### Step 1: Understand the Capillary Rise
When a capillary tube is dipped into water, the height to which the water rises in the tube is given by the formula:
\[ h = \frac{2S \cos \theta}{\rho g r} \]
where:
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