A conducting sphere of radius `10 cm` is charged `10 muC`. Another uncharged sphere of radius `20 cm` is allowed to touch it for some tome. After that if the sphere are separted, then surface density of chsrges, on the spheres will be in the ratio of

Options

A. `1:1`
B. `2:1`
C. `1:3`
D. `1:4`

Explanation

Answer (2)
Touching will make the potential same
Now `V= (Q)/ (4piepsilon_(0)R)` and `sigma= (Q)/(4piR^(2)):. Sigma= (Vepsilon_(0))/( R)`
`:. (sigma_(1))/(sigma_(2))=(R_(2))/(R_(1))=2:1`