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

Answer

B

Explanation

Radius of conducting sphere ` (R_(1))= 10 cm ` charge on the conducting sphere `=10 muC and ` radius of uncharged sphere ` (R_(2))=20 cm ` For a spherical conductor , the density of charge is proportional to its radius. Therefore ratio of density of charges of the spheres will be 1:2 .