A) W/2
B) \[\sqrt{2}W\]
C) \[\sqrt[3]{2}W\]
D) \[\sqrt[3]{4}W\]
Correct Answer: D
Solution :
Work done to form a soap bubble \[W=8\pi {{R}^{2}}T\] \[\therefore \] \[W\propto {{V}^{2/3}}\] [As \[V\propto {{R}^{3}}\] \[\therefore \] \[R\propto {{V}^{1/3}}\]] \[\frac{{{W}_{2}}}{{{W}_{1}}}={{\left[ \frac{{{V}_{2}}}{{{V}_{1}}} \right]}^{2/3}}\] \[={{(2)}^{2/3}}\] \[\Rightarrow \] \[{{W}_{2}}={{(4)}^{1/3}}W\]
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