The capacitance of spherical conductor of radius r is proportional to :

1 / r

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r

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1 / r^{2}

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r^{2}

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Solution

The correct option is B $r$
The capacitance of a single spherical conductor means that we imagine a spherical shell of infinite radius surrounding the first conductor.
as generally capacitance for two conducting concentratic sphere ,
$C = 4 π ϵ_{0} \frac{1}{\frac{1}{a} - \frac{1}{b}}$ , here b is infinity so , $C = 4 π ϵ_{0} a$
In this case capacitance will be , $C = 4 π ϵ_{0} r$
So, $C \propto r$

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