Energy Levels
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
Solution
Correct Answer:
−Z2/n2
According to Bohr's model, the energy of an electron in the n-th orbit is given by En=−8ϵ02h2n2me4Z2. For hydrogen-like ions, this can be simplified to En=−13.6n2Z2eV. The negative sign indicates that the electron is bound to the nucleus. The energy is directly proportional to the square of the atomic number (Z2) and inversely proportional to the square of the principal quantum number (n2).
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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