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Which of the following suggested de-Broglie wavelengths is not possible for the electron in a Bohr oAtomic Structure Chemistry Question

Question

Which of the following suggested de-Broglie wavelengths is not possible for the electron in a Bohr orbit of the hydrogen atom?

Answer: A,B

💡 Solution & Explanation

From Bohr's quantization, $2\pi r = n\lambda \implies \lambda = \frac{2\pi(0.529 n^2)}{n} = n \times 3.32$ Å. Thus $\lambda$ can be 3.32 Å ($n=1$), 6.64 Å ($n=2$), 9.96 Å ($n=3$). 3.20 Å and 4.98 Å are not possible. Therefore, correct answer is A, B.

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