In hydrogen and hydrogen-like atom , the ratio of `E_(4 n) - E_(2 n) and E_(2 n) - E_(n)` varies with atomic nimber `z` and principal quantum number`n` as

Options

A. `(z^(2))/(n^(2))`
B. `(z^(4))/(n^(4))`
C. `(z)/(n)`
D. none of these

Answer

D

Explanation

`(E_(4n)-E_(2n))/(E_(2n)-E_(n))=((E_(1))/(16n^(2))-(E_(1))/(4n^(2)))/((E_(1))/(4n^(2))-(E_(1))/(n^(2)))=(1)/(4)=`constant