Several spherical drops of a liquid of radius `r` coalesce to form a single drop of radius `R`. If `T` is surface tension and `V` is volume under consideration, then the release of energy is

Options

A. `3VT((1)/(r )+(1)/(R ))`
B. `3VT((1)/(r )-(1)/(R ))`
C. `VT((1)/(r )-(1)/(R ))`
D. `VT((1)/(r^(2))+(1)/(R^(2)))`

Answer

B

Explanation

Energy released `=4piTR^(3)[(1)/(r )-(1)/(R )] = 3((4)/(3)piR^(3)) T[(1)/(r )-(1)/(R )] = 3VT[(1)/(r ) - (1)/(R )]`