At distance `r` from a point charge, the ratio `(U)/(V^(2))` (where `U` is energy density and `V` is potential) is best represented by :

Options

A.
B.
C.
D.

Answer

B

Explanation

`U = (1)/(2) epsilon_(0) E^(2) = (1)/(2) (epsilon_(0)K^(2)Q^(2))/(r^(4))`
`V = (KQ)/(r )`
`(U)/(V^(2)) = ((1)/(2)epsilon_(0)K^(2)(Q^(2))/(r^(4)))/((K^(2) Q^(2))/(r^(2))) = (1)/(2)(epsilon_(0))/(r^(2))`
Because `(U)/(V^(2)) prop (1)/(r^(2))`
so the correct option is (b).