A) 1.11 m
B) 10 m
C) 9 km
D) 1.11 cm
Correct Answer: C
Solution :
For a spherical capacitor of radius R, the capacitance is given by \[C=4\pi {{\varepsilon }_{0}}R\] Given, \[C=1\text{ }\mu F=1\times {{10}^{-6}}F\] \[\Rightarrow \] \[R=\frac{C}{4\pi {{\varepsilon }_{0}}}\] \[=9\times {{10}^{9}}\times 1\times {{10}^{-6}}m\] \[\Rightarrow \] \[R=9\times {{10}^{3}}m\] \[=9\,km\]
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