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, we need to find the difference in water levels in the two limbs of a U-shaped tube that has two different diameters. We will use the principles of hydrostatics and the effects of surface tension.

### Step-by-Step Solution:

1. **Identify the Radii of the Tubes:**
- The diameter of the first bore (D1) = 3.0 mm = 3.0 × 10^(-3) m
- The radius of the first bore (R1) = D1 / 2 = 1.5 × 10^(-3) m
- The diameter of the second bore (D2) = 6.0 mm = 6.0 × 10^(-3) m
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