A) 9 km
B) 10 m
C) 1.11 m
D) 1.11 cm
Correct Answer: A
Solution :
Using the formula for the capacitance of spherical conductor \[C=4\pi {{\varepsilon }_{0}}r\] (Given\[C=1\times {{10}^{-6}}\,F\]) or \[4\pi {{\varepsilon }_{0}}r=1\times {{10}^{-6}}\] \[r=\frac{1\times {{10}^{-6}}}{4\pi {{\varepsilon }_{0}}}\] \[=1\times {{10}^{-6}}\times 9\times {{10}^{9}}=9\,km\]
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