If first excitation potential of a hydrogen-like atom is `V` electron volt, then the ionization energy of this atom will be:

Options

A. `V` electron-volt
B. `(3V)/(4)` electron-volt
C. `(4V)/(2)` electron-volt
D. cannot be caculated by given information

Answer

C

Explanation

First excitation energy
`= Rch ((1)/(1^(2)) - (1)/(2^(2))) = Rch (3)/(4)`
`:. (3)/(4) Rch = VeV :. Rch = (4V)/(3) eV`