Two metal spheres of radii `R_(1)` and `R_(2)` are charged to the same potential. The ratio of charges on the spheres is

Options

A. `sqrt(R_(1)) : sqrt(R_(2))`
B. `R_(1) : R_(2)`
C. `R_(1)^(2) : R_(2)^(2)`
D. `R_(1)^(3) : R_(2)^(3)`

Answer

B

Explanation

Spheres have same potential
i.e., `k (Q_(1))/(R_(1)) = k(Q_(2))/(R_(2)) rArr (Q_(1))/(Q_(2)) = (R_(1))/(R_(2))`