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

`Vxx(4)/(3)piR^(3),2V=(4)/(3)piR^(3),2xx(4)/(3)piR^(3)=(4)/(3)piR^(3)`
`R^(')=2^((1)/(3))R`
`W^(')pixx[2^((1)/(3))R]^(2)sigma=2^((2)/(3))xx2xx4piR^(2)sigma=4^((1)/(3))W`