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JEE Main 202331 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Evening Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2023 · 31 January · Evening Shift · Physics · Nuclear Physics

If the binding energy of ground state electron in a hydrogen atom...

If the binding energy of ground state electron in a hydrogen atom is 13.6eV13 . 6eV, then, the energy required to remove the electron from the second excited state of Li2+Li{}^{2 +} will be: x×10−1eVx \times {10}^{- 1}eV. The value of xx is _____.

Correct answer

0

Step-by-step solution

Given:

Binding energy, EH=E0=13.6eV{E}_{H} = {E}_{0} = 13 . 6eV.

Now for hydrogen like atom, we can write

ELi2+=E0Z2n2=13.6×99=13.6eVE{Li}^{2 +} = {E}_{0}\dfrac{{Z}^{2}}{{n}^{2}} = 13 . 6 \times \dfrac{9}{9} = 13 . 6eV

=136×10−1eV= 136 \times {10}^{- 1}eV

Therefore, x=136x = 136.

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