If the capacity of a spherical conductor is $1$ picofarad, then its diameter, would be
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(b) $C = 4\pi {\varepsilon _0}R$
$R = \frac{C}{{4\pi {\varepsilon _0}}} = 9 \times {10^9} \times {10^{ - 12}} = 9 \times {10^{ - 3}}\,m$
Diameter $= 2R = 2 \times 9 \times {10^{ - 3}}m$ = $18 \times {10^{ - 3}}\,m$
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