Two charged spheres of radii `R_(1) and R_(2)` having equal surface charge density. The ratio of their potential is

Options

A. `R_1// R_2`
B. `R_2//R_1`
C. `(R_1//R_2)^2`
D. `(R_2//R_1)^2`

Answer

A

Explanation

`sigma_(1) = sigma_2`
`implies Q/(4pi R_1^2)=Q_2/(4pi R_2^2)implies Q_1/Q_2=R_1^2/R_2^2`
`V_1=(KQ_1)/R_1 " "V_2=(KQ_2)/R_2`
`implies V_1/V_2=Q_1/Q_2xxR_2/R_1=R_1^2/R_2^2xxR_2/R_1=R_1/R_2`
`impliesV_1/V_2=R_1/R_2`