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

Options

A.
B.
C.
D.

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.