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Consider two charged metallic spheres S1...

Consider two charged metallic spheres `S_1` and `S_2` of radii R and 4R, respectively. The electric fields `E_1` (on `S_1` ) and `E_2` (on `S_2`) on their surfaces are such that `E_1/E_2 = 5/1` . Then the ratio `V_1` (on `S_1` ) / `V_1` (on `S_2` ) of the electrostatic potentials 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 " "rArr" "Q_1/Q_2 = 5/16 ," "V_1/V_2 = (KQ_1//R)/(KQ_2//4R)5/4`
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