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Consider two charged metallic spheres S(...

Consider two charged metallic spheres `S_(1)`, and `S_(2)`, of radii `R_(1)`, and `R_(2)` respectively. The electric fields `E_(1)`, (on `S_(1)`,) and `E_(2)`, (on `S_(2)`) their surfaces are such that `E_(1)//E_(2) = R_(1)//R_(2)`. Then the ratio `V_(1)`(on `S_(1)`)/`V_(2)` (on `S_(2)`) of the electrostatic potential on each sphere is

A

`(5/4)`

B

`(3/2)^3`

C

`((4)/(5))`

D

`((16)/(9))`

Text Solution

Verified by Experts

The correct Answer is:
A
`E_1= (KQ_1)/(R^2) , E_2 (KQ_2)/(16R^2)`
Given
`E_1/E_2 = 5/1 implies (Q_1)/(Q_2) = 5/6 , V_1/V_2 = (KQ_1//R)/(KQ_2//4R) = 5/4 `
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