Two narrow bores of diameter \( 5.0 \, \text{mm} \) and \( 8.0 \, \text{mm} \) are joined together to form a U-shaped tube open at both ends. If this U-tube contains water, what is the difference in the level of two limbs of the tube.
[Take surface tension of water \( T = 7.3 \times 10^{-2} \, \text{N m}^{-1} \), angle of contact \( = 0 \), \( g = 10 \, \text{ms}^{-2} \) and density of water \( = 1.0 \times 10^{3} \, \text{kg m}^{-3} \).]