Atomic StructurehardCOMPREHENSIVE

The speed of electron in the orbit isAtomic Structure Chemistry Question

Question

The speed of electron in the $n^{th}$ orbit is

Answer: D

💡 Solution & Explanation

Substitute $r$ back into $v = \frac{nh}{2\pi mr}$: $v = \frac{nh}{2\pi m \left(\frac{4\pi \sqrt{km}}{nh}\right)} = \frac{n^2 h^2}{8\pi^2 m \sqrt{km}}$. Therefore, correct answer is D.

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