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Two charged spheres of radii R(1) and R(...

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

A

`R_1// R_2`

B

`R_2//R_1`

C

`(R_1//R_2)^2`

D

`(R_2//R_1)^2`

Text Solution

Verified by Experts

The correct Answer is:
A
`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`
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