Bohr Radius
Bohr radius a0 approximately equals?
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About This Question
- Subject
- physics
- Chapter
- atoms and nuclei
- Topic
- bohr radius
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
0.529 Å
- Definition: The Bohr radius (a0) is the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state (n=1).
- Formula: Derived from electrostatics and quantization of angular momentum: rn=πme2Zϵ0h2n2=a0Zn2
- Constant Value: Substituting fundamental constants: a0=πme2ϵ0h2≈0.529×10−10 m
- Conversion: Since 1 A˚=10−10 m, the Bohr radius is 0.529 \AA.
This medium difficulty physics question is from the chapter atoms and nuclei, covering the topic of bohr radius. It appeared in the 2025 exam.
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