An air bubble of radius 0.1 ~cm is in a liquid having surface tension 0.06 ~N / m and density 10^3 ~kg / m ^3 . The pressure inside the bubble is 1100 Nm ⁻² greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? ( g =9.8 ~ms ⁻² )

Step-by-step solution

Given: Radius of air bubble, r=0.1 ~cm =10⁻³ ~m Surface tension of liquid, S=0.06 ~N / m =6 10⁻² ~N / m Density of liquid, =10^3 ~kg / m ^3 Excess pressure inside the bubble, _ exe =1100 Nm ⁻² Depth of bubble below the liquid surface, h= ? As we know, aligned & _ Excess =h g+ 2 s r & 1100=h 10^3 9.8+ 2 6 10⁻² 10⁻³ & 1100=9800 h+120 & 9800 h=1100-120 & h= 980 9800 =0.1 ~m aligned