Two metallic spheres of radii `1 cm` and `2 cm` are given charges `10^(-2) C` and `5 xx 10^(-2) C` respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is

Options

A. `3xx10^(-2)C`
B. `1xx10^(-2)C`
C. `4xx10^(-2)C`
D. `2xx10^(-2)C`

Answer

D

Explanation

`C=4piin_(0)R, C_(1)C,C_(2)=2C`
Common potential `V=(Q_(1)+Q_(2))/(C_(1)+C_(2))=(2xx10^(-2))/(c)`
Final charge on smaller sphere
`Q'_(1)=C_(1)V=CV=2xx10^(-2)C`