In the Bohr model of the hydrogen atom, how does the radius of the -th stationary orbit scale with the principal quantum number ?
Answer and explanation
Correct answer: B.
- Step 1: In Bohr's quantization condition, .
- Step 2: Balancing electrostatic attraction with centripetal force yields .
- Step 3: Thus, orbital radius scales quadratically with principal quantum number: .
Answer
.
Why not the others: Linear dependence applies to orbital angular momentum; inverse dependence applies to orbital velocity; and cubic dependence is incorrect.
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