Question
Find the radius of a hydrogen atom in the n=2n = 2 state according to Bohr’s theory.
Question by OpenStax is licensed under CC BY 4.0
Final Answer

2.12×1010 m2.12 \times 10^{-10}\textrm{ m}

Solution video

OpenStax College Physics, Chapter 30, Problem 13 (Problems & Exercises)

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Video Transcript
This is College Physics Answers with Shaun Dychko. According to Bohr's theory, the radius of a hydrogen-like atom is the principal quantum number squared divided by the atomic number or the number of protons in the nucleus, in other words, multiplied by the Bohr radius. And n can be any number from 1 up to infinity. So in this case, we are told n is 2 so we have 2 squared over 1; 1 because it's a hydrogen atom in which case, the atomic number is 1, 1 proton times 0.529 times 10 to the minus 10 meters— Bohr radius— which is 2.12 times 10 to the minus 10 meters will be the radius of this atom.

Comments

Is Ab a constant? So will it always be 0.529e-10?