A U-tube of uniform cross section contains two different liquids in its limbs namely water (density $$1.0 \times 10^3 kg/m^3 $$)and Mercury  (density $$13.6 \times 10^3 kg/m^3 $$) as shown in figure. The difference of height of mercury column in two limbs is $$H=1.5\,cm$$. The height $$h$$ of the water column in the left limb above the Mercury column must be nearly. (Neglect surface tension effects).