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A metal sphere is electrically charged t...

A metal sphere is electrically charged to `Q_(0)` and hangs on an insulting cord. The sphere slowly loses it charge because the air has a non zero resistivity `rho`. The potential of sphere of radius `r_(0)` is to be calculated with reference to infinity. Assume that resistivity of air is every where the same. Mark the correct statements

A

Capacitance of sphere is `4 pi epsilon_(0)r_(0)`

B

Electrical resistance of air is `R = (rho)/(4 pi r_(0))`

C

Initial current is `(Q_(0))/(rho epsilon_(0))`

D

Time in which charge gets halved is `rho epsilon_(0) ln 2`

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The correct Answer is:
A, B, C, D
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