A spherical liquid drop of radius `R` is divided into eight equal droplets. If the surface tension is `T`, then the work done in this process will be

Options

A. `2pi R^(2)T`
B. `3pi R^(2)T`
C. `4pi R^(2)T`
D. `2pi RT^(2)`

Answer

C

Explanation

`W=4pi R^(2)T(n^((1)/(3))-1)`
`=4pi R^(2)T(8^((1)/(3))-1)`
`=4 pi R^(2)T`