1.
Air (density ρ\rho) is being blown on a soap film (surface tension TT) by a pipe of radius RR with its opening right next to the film. The film is deformed and a bubble detaches from the film when the shape of the deformed surface is a hemisphere. Given that the dynamic pressure on the film due to the air blown at speed vv is 12ρv2\frac{1}{2}\rho v^2, the speed at which the bubble formed is