Which of the following statement(s) is/are correct about the Bohr model of hydrogen atom? — Atomic Structure Chemistry Question
Question
Which of the following statement(s) is/are correct about the Bohr model of hydrogen atom?
Answer: B,C
💡 Solution & Explanation
Let's evaluate: (a) Acceleration of electron is a = v^2/r. Since v ∝ 1/n and r ∝ n^2, we have a ∝ (1/n^2) / n^2 = 1/n^4. Thus, acceleration in n=2 is smaller than in n=1. (b) Angular momentum is L = n × h / (2 × π), which increases as n increases, so L in n=2 is greater than in n=1 (correct). (c) Kinetic energy is ∝ 1/n^2, so K.E. in n=2 is less than in n=1 (correct). (d) Centripetal force F_c = m × v^2/r ∝ 1/n^4, which decreases as n increases, so force in n=2 is less than in n=1.
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