If I exciation energy for the H-like (hypothetical) sample is 24 eV, then binding energy in III excited state is :
(a)2eV
(b)3eV
(c)4eV
(d)5eV

Options

A. Ionisation energy of the sample is `36 eV`
B. Ionosation energy of the sample is `32 eV`
C. Binding energy of `3^(rd)` excited state is `2 eV`
D. `2^(nd)` excitation potential of the sample is `(32xx8)/(9) V`

Answer

B, C, D

Explanation

`1st` excitation potential `=10.2 Z^(2)=24 V :. Z^(2)=24//10.2`
`:. IE=13.6 Z^(2)=(13.6xx24)/(10.2)=32 eV`
Binding energy of `3^(rd)` excited state `=0.85 Z^(2)=(0.85xx24)/(10.2)=2eV`
`2^(nd)` excitation potential of sample `=12.09 Z^(2)=(12.09xx24)/(10.2)=(32xx8)/(9) V`.