Electrostatics Question 57

The capacitance of a metallic sphere will be $ 1\mu F $ , if its radius is nearly [MP PMT 1992; MH CET (Med.) 2001; UPSEAT 1999]

Options:

A) 9 km

B) 10 m

C) 1.11 $ m $

D) 1.11 $ cm $

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{1}{4\pi {\varepsilon _{0}}r}=1\times {{10}^{-6}} $

therefore $ r=10^{-6}\times 9\times 10^{9}=9km $



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