A) \[9\times {{10}^{-9}}F\]
B) \[1\,\mu F\]
C) \[2.5\times {{10}^{-10}}F\]
D) \[1\times {{10}^{-6}}F\]
Correct Answer: C
Solution :
The capacitance of spherical conductor is given by \[C=4\pi {{\varepsilon }_{0}}r\] Here: \[r=1\text{ }m,\,4\pi {{\varepsilon }_{0}}=\frac{1}{9\times {{10}^{9}}}\] \[C=\frac{1}{4\times {{10}^{9}}}\times 1\] \[C=2.5\times {{10}^{-10}}F\]
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