A capillary tube with inner cross-section in the form of a square of side a is dipped vertically in a liquid of density `rho` and surface tension `rho` which wet the surface of capillary tube with angle of contact `theta` . The approximate height to which liquid will be raised in the tube is : (Neglect the effect of surface tension at the corners of capillary tube)

Options

A. `(2sigma cos theta)/(arhog)`
B. `(4sigma cos theta)/(arhog)`
C. `(8sigma cos theta)/(arhog)`
D. None of these

Explanation

To solve the problem of determining the height to which a liquid is raised in a capillary tube with a square cross-section, we can follow these steps:

### Step 1: Understand the Forces Acting on the Liquid
In a capillary tube, the liquid is raised due to the balance between the upward force due to surface tension and the downward force due to the weight of the liquid column.

### Step 2: Calculate the Upward Force from Surface Tension
The upward force (F) due to surface tension can be calculated using the formula:
\[ F = \text{Perimeter} \times \text{Surface Tension} \times \cos(\theta) \]
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