`A` H-like ion is observed to emit six different wavelength originating from all possible transitions between a group of levels. These levels have energies between `-0.85 eV` (Min) and `-0.544 eV` (Max)
(a) Find atmoic number (z) of element
(b) Find quantum number of levels between which transitions occur.
(c) Calculate largest wavelength emitted in transitions between the levels.

Explanation

`(n_(1) - n_(1)) ( n _(2) -n _(1) +1) =12`
`n _(2) - n_(1) =x " " x (x+1) =12`
`n _(2) =n_(1) + 3`
`-13.6 xx (z ^(2))/(n _(1) ^(2)) " " -12.6 xx (z ^(2))/(n _(1) ^(2)) =-0.85`
`- 13.6 xx (z ^(2))/((n_(1) + 3) ^(2)) " " n _(1) = 12, n_(2) =15`