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Consider two charged metallic spheres S(...

Consider two charged metallic spheres `S_(1) and S_(2)` of radii 3R and R, respectively. The electric potential `V_(1) (on S_(1) ) and (on S_(2))` on their surfaces are such that `(V_(1))/(V_(2)) = (4)/(1)`. Then the ratio `E_(1)(on S_(1)) / E_(2) (on S_(2))` of the electric fields on their surfaces is:

A

`((5)/(4))`

B

`((4)/(3))`

C

`((4)/(5))`

D

`((3)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
B
`(V_(1))/(V_(2)) = (((KQ_(1))/(3R)))/(((KQ_(2))/(R))) = (4)/(1) rArr (Q_(1))/(Q_(2)) = (12)/(1)`
`E_(1)/(E_(2)) = (KQ_(1) //9R^(2))/(KQ_(2) //R) = (4)/(3)`
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