Two narrow bores of diameters 3.0mm and 6.0 mm are joined together to form a U-shaped tube open at both ends. If th U-tube contains water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is `7.3xx10^(-2)Nm^(-1)`. Take the angle of contact to be zero. and density of water to be `1.0xx10^(3)kg//m^(3)`.
`(g=9.8 ms^(-2))`

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the Radii of the Tubes
Given the diameters of the two narrow bores:
- Diameter of the first bore, \( d_1 = 3.0 \, \text{mm} = 3.0 \times 10^{-3} \, \text{m} \)
- Diameter of the second bore, \( d_2 = 6.0 \, \text{mm} = 6.0 \times 10^{-3} \, \text{m} \)

The radii can be calculated as:
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