KVPY SX SB Exam 2013 Question Paper

Young-Laplace law states that the excess pressure inside a soap bubble of radius R is given by $\mathrm{\Delta }\mathit{P}=\frac{4\mathit{\sigma }}{\mathit{R}}$ where σ is the coefficient of surface tension of the soap. The Eotvos number Eo is a dimensionless number that is used to describe the shape of bubbles rising through a surrounding fluid. It is a combination of g, the acceleration due to gravity, ρ, the density of the surrounding fluid, σ and a characteristic length scale L which could be the radius of the bubble. A possible expression for Eo is