Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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(A) Find the First Excitation Potential of He+ Ion. (B) Find the Ionization Potential of Li++Ion. - Physics

Sum

(a) Find the first excitation potential of He+ ion. (b) Find the ionization potential of Li++ion.

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Solution

(a) PE of hydrogen like atom in the nth state, V = `(-13.6Z^2)/n^2 eV`

Here, Z is the atomic number of that atom.

For the first excitation, the atom has to be excited from n = 1 to n = 2 state.

So, its excitation potential will be equal to the difference in the potential of the atom in n = 1 and in n = 2 states.

First excitation potential of He+

`- 13.6Z^2 (1 - 1/2^2) eV`

= `- 10.2 Z^2 eV `

`rArr 10.2 xx Z^2 `

`= 10.2 xx 4`

= 40.8 (b) Ionization Potential Li++ = 13.6 V ×Z2
                                                          = 13.6 × 9
                                                          = 122.4 V

Concept: The Line Spectra of the Hydrogen Atom
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APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 21 Bohr’s Model and Physics of Atom
Q 8 | Page 384
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