The charge `3.0 xx 10^(-5)` C are placed on a metal sphere of radius 3.0 m, then the energy stored in it will be ........ .

Options

A. `(3)/(8 pi) in_(0) xx10^(10)J`
B. `(3)/(8 pi in_(0)) xx10^(-10) J`
C. `(3)/(8 in_(0))xx 10^(-5) J`
D. `(8 in_(0))/(3) xx10^(5)J`

Answer

A, C

Explanation

The energy of a charged sphere
`U = (Q^(2))/(2C) = ((3xx10^(-5))^(2))/(8 pi epsilon_(0)xx3)=(3)/(8pi epsilonxx3)=(3)/(8 pi epsilon_(0))xx10^(-10)` J