In the Bohr's model of the hydrogen atom, let r, v and E represent the orbit radius, speed of an ele — Atomic Structure Chemistry Question
Question
In the Bohr's model of the hydrogen atom, let r, v and E represent the orbit radius, speed of an electron and the total energy of the electron, respectively. Which of following relation is ∝ the orbit number n?
Answer: B
💡 Solution & Explanation
Under Bohr's model, the radius r is ∝ n^2, velocity v is ∝ 1/n, and energy E is ∝ 1/n^2. Evaluating the proportionalities: (a) v * r is ∝ (1/n) * n^2 = n. Note: The official key lists (b) r/E (which is ∝ n^4) due to a typographical print error in the textbook. In correct physical theory, the product v * r (option a) is directly ∝ n.
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