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. `sqrt((4piepsilon_0Fe^2)/d^2)`
B. `sqrt((4piepsilon_0F d^2)/e^2)`
C. `(4piepsilon_0Fe^2)/d^2`
D. `(4piepsilon_0Fd^2)/e^2`

Answer

B

Explanation

The force between ions can be written as follows :
`F=1/(4piepsilon_0)q^2/d^2`..(i)
Let n be the number of missing electrons in each ion then we can substitute q=ne is equation (i)
`F=1/(4piepsilon_0) (n^2e^2)/d^2 rArr n=sqrt((4piepsilon_0Fd^2)/e^2)`