A) \[{{n}^{1/3}}V\]
B) \[{{n}^{2/3}}V\]
C) \[nV\]
D) \[{{n}^{3/2}}V\]
E) \[{{n}^{1/2}}V\]
Correct Answer: B
Solution :
\[\frac{4}{3}\pi {{r}^{3}}\times n=\frac{4}{3}\pi {{R}^{3}}\Rightarrow R={{n}^{1/3}}r\] \[\therefore \] \[{{V}_{big}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\times \frac{Q}{R}\] \[=\frac{1}{4\pi {{\varepsilon }_{0}}}\times \frac{nq}{{{n}^{1/3}}r}={{n}^{2/3}}V\]
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