Air (density \(\rho\)) is being blown on a soap film (surface tension T) by a pipe of radius R 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 fiim due to the air blown speed \(\upsilon\) is \(\frac{1}{2}\rho \upsilon^2,\) the speed at which the bubble formed is
(a) \(\sqrt{\frac{T}{\rho R} }\)
(b) \(\sqrt{\frac{2T}{\rho R}}\)
(c) \(\sqrt{\frac{4T}{\rho R}}\)
(d) \(\sqrt{\frac{8T}{\rho R}}\)
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