Two positive ions , each carrying a charge `q` , are separated by a distance `d`.If `F` is the force of repulsion between the ions , the number of electrons missing from each ion will be (`e` being the charge on an electron)

Options

A. `(4piepsilon_0Fd^2)/q^2`
B. `(4piepsilon_0Fd^2)/e^2`
C. `sqrt((4piepsilon_0Fe^2)/d^2)`
D. `sqrt((4piepsilon_0Fd^2)/e^2)`

Answer

D

Explanation

q = ne
`F=q^2/(4piepsilon_0d^2)implies F(n^2e^2)/(4piepsilon_0d^2)`
`implies n = sqrt((Fxx4piepsilon_0d^2)/e^2)`