An open-ended U-tube of uniform cross-sectional area contains water (density 10³kg m⁻³). Initially the water level stands at 0.29 m from the bottom in each arm. Kerosene oil (a water-immiscible liquid) of density 800 kg m⁻³ is added to the left arm until its length is 0.1 m, as shown in the schematic figure below. The ratio $\left(\frac{{\mathrm{h}}_1}{{\mathrm{h}}_2}\right)$of the heights of the liquid in the two arms is-