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Atoms
Energy Levels of Hydrogen-like Atoms
1 question from 1 paper, each with its answer.
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Concepts tested
- Energy proportional to Z squared
All Questions
2001 AIPMT 1 question
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The energy of hydrogen atom in nth orbit is $E_n$ then the energy in nth orbit of singly ionised helium atom will be : -For a hydrogen-like atom: $E_n = -\dfrac{13.6Z^2}{n^2}$ eV, so $E \propto Z^2$ for the same n.
Hydrogen: Z = 1. Singly ionised helium ($He^+$): Z = 2.
$E_{He^+} = 2^2 \times E_n = 4E_n$