Which of the following is unit of permitivity of vaccum ?

Options

A. `(C^(2))/((Nm)^(2))`
B. `(C)/(Nm)`
C. `(Nm^(2))/(C)`
D. `(C^(2))/(Nm^(2))`

Explanation

Force between two charge particle, at distance r,
`F=(q^(2))/(4pi epsi_(0)d^(2))`
`:. epsi_(0)=(q^(2))/(4pi Fd^(2))`
`:.` Units of `epsi_(0)=(q^(2))/(Fd^(2)) [ :. 4pi` Unitless]
`=(C^(2))/(Nm^(2))`