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(4pi epsilon_(0)Fd^(2)))/e`
B. `sqrt((4piepsilon_(0)Fe^(2))/(d^(2)))`
C. `(4 pi epsilon_(0)Fd^(2))/(e^(2))`
D. `(4pi epsilon_(0)Fd^(2))/(e^(2))`

Answer

A

Explanation

Two positive ions, each carrying a chare q are kept at a distance d, then it is found that force of repulsion between them is
`F=(k q q )/(d^(2))=1/(4 pi epsilon_(0)) (qq)/(d^(2))`
where `q= n e`
`F=1/( 4 pi epsilon_(0)) (n^(2)e^(2))/(d^(2)) , n = (sqrt(4pi epsilon_(0)Fd^(2)))/(e^(2))`