The excitation energy of a hydrogen -like ion in its first excited state is `40.8 eV` Find the energy needed to remain the electron from the ion

Options

A. will not pass through origin
B. will be a straight line with slope 4
C. will be a rectangular hyperbola
D. will be a parabola

Answer

A

Explanation

`E_2 - E_1 = 40.8 eV`
`:. (E_1)/((2))^2 E_1= 40.8 eV`
or ` -(3)/(4) E_1 = 40.8 eV`
or `E_1= -54.4 eV`
|E_1| = 54.4 eV`