Two metallic sphenrs of radil `R_(1)` and `R_(2)` are charged. Now they are brought into contact with each other with conducting wire and then separated. If the electric fields on their surfaces are `E_(1)` and `E_(2)` respectively `(E_(1))/(E_(2))` = ....... .

Options

A. `(R_(2))/(R_(1))`
B. `(R_(1))/(R_(2))`
C. `(R_(2)^(2))/(R_(1)^(2))`
D. `(R_(1)^(2))/(R_(2)^(2))`

Answer

A, B

Explanation

When the charged spheres of radii `R_(1)` and `R_(2)` are brought into contact with each other and then separated, their potentials will be same.
`:. V_(1) = V_(2)`
`:. (kQ)/(R_(1))=(kQ)/(R_(2))`
`:. (kQ)/(R_(1)^(2))R_(1)=(kQ)/(R_(2)^(2))R_(2)`
`:. E_(1)R_(1)= E_(2)R_(2)`
`:. (E_(1))/(E_(2))=(R_(2))/(R_(1))`