Work `W` is required to form a bubble of volume `V` from a given solution. What amount of work is required to be done to form a bubble of volume `2V` ?

Options

A. `W`
B. `2W`
C. `2^(1/3)W`
D. `4^(1/3)W`

Answer

D

Explanation

`Vxx4/3piR^(3), 2V=4/3piR^(3),2x4/3piR^(3)-=4/3piR^(3)`
`R'=2^(1//3)R`
`W'2xx4pi[2^(1//3)R]^(2)sigma=^(1//3)xx2xx4piR^(2)sigma=^(1//3)W`