A cylinder with a movable piston contains air under a pressure `p_(1)` and a soap bubble of radius `r`. The pressure `p_(2)` to which the air should be compressed by slowly pushing the piston into the cylinder for the soap bubble to reduce its size by half will be : (The surface tension is `sigma`, and the temperature `T` is maintained constant)

Options

A. `p_(1) + (4T)/(r)`
B. `4p_(1) +(12T)/(r)`
C. `8 p_(1) + (24T)/(r)`
D. `p_(1) + (2T)/(r)`

Answer

C