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 of finding the difference in water levels in the two limbs of a U-shaped tube with different diameters, we will follow these steps:

### Step 1: Understand the Problem
We have a U-shaped tube with two narrow bores of diameters 3.0 mm and 6.0 mm. We need to find the difference in water levels (h1 and h2) in the two limbs of the tube due to surface tension.

### Step 2: Convert Diameters to Radii
- Diameter of the first bore (d1) = 6.0 mm = 6.0 × 10^(-3) m
- Radius of the first bore (r1) = d1 / 2 = 3.0 × 10^(-3) m
...