Question

if first excitation energy for the hydrogen like sample is 24 ev and binding energy in third excited state is

Answer 1

The vitality of electron of H-like molecule in n=n state is given by E(n)=-13.6Z^2/n^2, where Z is atomic charge.

Vitality is in eV. n=1 gives ground state vitality E(1)=-13.6Z^2 eV… …

(1) n=2 gives the vitality of first energized state . E(2)=-13.6Z^2/4eV… … .(2)

The main excitation vitality is given by E(2)- E(1)=13.6Z^2(- 1/4+1)=13.6Z^2X(3/4)=24 eV given.

At that point, Z^2=(24)(4/3)/13.6=32/13.6. Along these lines, restricting vitality =13.6(32/13.6)=32eV

This much vitality is to be given to electron in the ground state to free it from the iota.

Answer 2

Answer to your question is here simple and short