A) \[R=\frac{{{\sigma }^{2}}}{8{{\varepsilon }_{0}}T}\]
B) \[R=8{{\varepsilon }_{0}}\frac{T}{{{\sigma }^{2}}}\]
C) \[R=\frac{{{\sigma }^{{}}}}{\sqrt{8{{\varepsilon }_{0}}T}}\]
D) \[R=\frac{{{\sqrt{8{{\varepsilon }_{0}}T}}^{{}}}}{\sigma }\]
Correct Answer: B
Solution :
[b] The pressure due to surface tension \[=\frac{4T}{R}\] The pressure due to electrostatic forces \[=\frac{{{\sigma }^{2}}}{2{{\varepsilon }_{0}}}\] Just before the bubble bursts. \[\frac{4T}{R}=\frac{{{\sigma }^{2}}}{2{{\varepsilon }_{0}}}\] or \[R=\frac{8T{{\varepsilon }_{0}}}{{{\sigma }^{2}}}\]
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