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A radioactive source in the form of a metal sphere of diameter \( 3.2 \times 10^{-3} \mathrm{~m} \) emits \( \beta \)-particle at a constant rate of \( 6.25 \times 10^{10} \mathrm{particle} / \mathrm{sec} \). The source is electrically insulated and all the \( \beta \)-particle are
\( \mathrm{P} \) emitted from the surface. The potential of the sphere will rise to \( 1 \mathrm{~V} \) in time
(A) \( 180 \mu \mathrm{sec} \)
(B) \( 90 \mu \mathrm{sec} \)
(C) \( 18 \mu \mathrm{sec} \)
(D) \( 9 \mu \mathrm{sec} \)
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