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Energy Levels

Easyphysics

Energy of nth Bohr orbit in hydrogen-like ion (atomic number Z) scales as:

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About This Question

Subject
physics
Chapter
atoms and nuclei
Topic
energy levels
Difficulty
Easy
Year
2025
Tags
Energy LevelsBohr

Solution

Correct Answer:

According to Bohr's model, the energy of an electron in the -th orbit is given by . For hydrogen-like ions, this can be simplified to . The negative sign indicates that the electron is bound to the nucleus. The energy is directly proportional to the square of the atomic number () and inversely proportional to the square of the principal quantum number ().

This easy difficulty physics question is from the chapter atoms and nuclei, covering the topic of energy levels. It appeared in the 2025 exam.

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