Electrostatics Question 90

Question: The radius of a metallic sphere if its capacitance is $ 1/9F $ , is [KCET 1999; Pb. PET 2001]

Options:

A) $ 10^{6}m $

B) $ 10^{7}m $

C) $ 10^{9}m $

D) $ 10^{8}m $

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Answer:

Correct Answer: C

Solution:

$ C=4\pi {\varepsilon _{0}}R $ , $ R=\frac{C}{4\pi {\varepsilon _{0}}} $

therefore $ R=(1/9)\times 9\times 10^{9}=10^{9}m $



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