A) \[40.2\,\,\times \,\,1{{0}^{-\,6}}\,J\]
B) \[70.3\,\,\times \,\,1{{0}^{-\,6}}\,J\]
C) \[40.2\,\,\times \,\,1{{0}^{-\,5}}\,J\]
D) \[70.3\,\,\times \,\,1{{0}^{-\,5}}\,J\]
Correct Answer: D
Solution :
Given, \[\operatorname{S}=2.8 \times 1{{0}^{-}}^{2}N/m\]and \[\operatorname{radius} = 1 cm = 0.01 m\] \[\therefore \] Soap bubble has two surfaces so work done will be \[W=S(8\,\pi \,{{R}^{2}})\,\,=\,\,2.8\times 1{{0}^{-\,2}}\times 8\times 3.14\times {{(0.01)}^{2}}\] \[=\,\,\,70.3\,\,\times \,\,1{{0}^{-\,}}^{6}J.\]
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