A long capillary tube of radius 1 mm, open at both ends is filled with water and placed vertically. What will be the height of water column left in the capillary ? (Surface tension of water is `73.5xx10^(-3)Nm^(-1))`

Options

A. 0.3 cm
B. 3 cm
C. 6 cm
D. 0.03 cm

Explanation

To find the height of the water column left in a capillary tube, we can use the formula derived from the balance of forces due to surface tension and the weight of the water column. Here’s a step-by-step solution:

### Step 1: Identify the given values
- Radius of the capillary tube, \( r = 1 \, \text{mm} = 1 \times 10^{-3} \, \text{m} \)
- Surface tension of water, \( T = 73.5 \times 10^{-3} \, \text{N/m} \)
- Density of water, \( \rho = 1000 \, \text{kg/m}^3 \)
- Acceleration due to gravity, \( g = 9.81 \, \text{m/s}^2 \)

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