Two charged spherical conductors of radii `R_(1) and R_(2)` when connected by a connecting wire acquire charges `q_(1) and q_(2)` respectively. Find the ratio of their charge densities in terms of their radil ?

Options

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

Answer

B

Explanation

`V_(1) = V_(2) rArr (Q_(2))/(Q_(2)) = (R_(1))/(R_(2)) and sigma = (1)/(4pi R^(2))`