A physical energy of the dimension of length that can be formula cut of `c,G` and `(e^(2))/(4 pi epsilon_(0))` is [`c` is velocity of light `G` is universal constant of gravilation e is change

Options

A. `c^(2) [G (e^(2))/(4 pi epsilon_(0))]^(1//2)`
B. `(1)/(c^(2)) [(e^(2))/(G4 pi epsilon_(0))]^(1//2)`
C. `(1)/(c ) G (e^(2))/(4 pi epsilon_(0))`
D. `(1)/(c^(2)) G [(e^(2))/(4 pi epsilon_(0))]^(1//2)`

Explanation

`C : m//sm G = Nm^(2)//kg^(2), (e^(2))/(4 pi epsilon_(0)) : Nm^(2)`
`[G (e^(2))/(4 pi epsilon_(0))]^(1//2) = [(Nm^(2))/(kg^(2)) . Nm^(2) ]^(1//2) = (Nm^(2))/(kg)`
`= (kg.m)/(s^(2)) . (m^(2))/(kg^(2)) = (m^(2))/(s^(2))`
`(1)/(C^(2)) [G (e^(2))/(4 pi epsilon_(0))]^(1//2) = (1)/((m//s)^(2)) (m^(2))/(s^(2)) = m = [L]`