Physics - Fluid Question with Solution | TestHub

Given: Radius of air bubble, $$r=0.1\mathrm{cm}=10^{-3}\mathrm{m}$$ Surface tension of liquid, $$S=0.06\mathrm{N}/\mathrm{m}=6\times 10^{-2}\mathrm{N}/\mathrm{m}$$ Density of liquid, $\rho =10^3\mathrm{kg}/{\mathrm{m}}^3$ Excess pressure inside the bubble, $${\rho }_{\text{exe }}=1100{\mathrm{Nm}}^{-2}$$ Depth of bubble below the liquid surface, $h=$ ? As we know, $$\begin{array}{rl}& {\rho }_{\text{Excess }}=h\rho g+\frac{2s}{r}\\ & \Rightarrow 1100=h\times 10^3\times 9.8+\frac{2\times 6\times 10^{-2}}{10^{-3}}\\ & \Rightarrow 1100=9800h+120\\ & \Rightarrow 9800h=1100-120\\ & \Rightarrow h=\frac{980}{9800}=0.1\mathrm{m}\end{array}$$