The energy levels of hydrogen-like atoms (atomic number Z):

The energy levels of hydrogen-like…

Answer: En = -13.6 Z²/n² eV.

A En = -13.6 Z/n eV
B En = -13.6 Z²/n² eV
C En = -13.6 n/Z eV
D En = -13.6/nZ eV

Correct answer: B. En = -13.6 Z²/n² eV

Explanation: For hydrogen-like ions: En = -13.6 Z²/n² eV. For helium ion (Z=2): E<sub>1</sub> = -54.4 eV.

Comparison of the Thomson model and the Rutherford model of the atom: in the Thomson plum pudding model alpha particles pass almost straight through a diffuse positive sphere, while in the Rutherford model a concentrated central nucleus deflects some alpha particles through large angles, with the lower panels showing the alpha particle source and gold foil and the observed result of wide-angle scattering

The Geiger–Marsden alpha-scattering result: a few alpha particles bounce back at large angles, which rules out Thomson’s diffuse model and demands a tiny, massive, positively charged nucleus. Image: Kurzon, CC BY 3.0, via Wikimedia Commons.

Concept context

Thomson's plum-pudding model, Rutherford's nuclear model from alpha-scattering, Bohr's postulates and hydrogen spectrum, spectral series (Lyman to Pfund), Rydberg formula, and limitations of each model.

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The energy levels of hydrogen-like atoms (atomic number Z):

Concept context

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