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Q.

If the capacity of a spherical conductor is 1 picofarad, then its diameter, would be

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a

$1 .8 \times 10^{- 3} m$

b

$18 \times 10^{- 3} m$

c

$18 \times 10^{- 7} m$

d

$1 .8 \times 10^{- 5} m$

answer is B.

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Detailed Solution

$\begin{array}{l} C = 4 {πε}_{0} R \\ R = \frac{C}{4 {πε}_{0}} = 9 \times 10^{9} \times 10^{- 12} = 9 \times 10^{- 3} m \end{array}$

$Diameter = 2 R = 2 \times 9 \times 10^{- 3} = 18 \times 10^{- 3} m$

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