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A conducting sphere of radius 10 cm is c...

A conducting sphere of radius 10 cm is charged with 10 `mu` C . Another uncharged sphere of radius 20 cm is allowed to touch it for some time . After that if the spheres are separated then surface density of charge on the sphere will be in the ratio of

A

` 1:4`

B

`1:2`

C

`1:3`

D

`1:1`

Text Solution

Verified by Experts

The correct Answer is:
B
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 .
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