A soap bubble, having radius of \(1 mm\), is blown from a detergent solution having a surface tension of \(2.5 \times 10^{-2} \)\(\frac Nm\). The pressure inside the bubble equals at a point \(Z_0\) below the free surface of water in a container. Taking \(g=10 m/s^2,\) density of water-\(103 kg/m^3\), the value of \(Z_0\) is: