A barometer contains two uniform capillries of radii `1.44 xx 10^(-3)m` and `7.2 xx 10^(-4)m`. If the height of the liquid in the narrow tube is `0.2 m` more than that in the wide tube, calculate the true pressure difference. Density of liquid `= 10^(3) kg//m^(3)`, surface tension `= 72 xx 10^(-3) N//m` and `g = m//s^(2)`.

Explanation

To solve the problem, we need to calculate the true pressure difference between the two capillaries in the barometer. The given data includes the radii of the capillaries, the height difference of the liquid columns, the density of the liquid, the surface tension, and the acceleration due to gravity.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Radius of narrow capillary, \( r_1 = 1.44 \times 10^{-3} \, m \)
- Radius of wide capillary, \( r_2 = 7.2 \times 10^{-4} \, m \)
- Height difference of liquid, \( h = 0.2 \, m \)
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