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What is the wavelength of the photon emitted when muon drops from second orbit to the ground state iAtomic Structure Chemistry Question

Question

What is the wavelength of the photon emitted when muon drops from second orbit to the ground state in this atom?

Answer: C

💡 Solution & Explanation

The energy emitted is $E = 2815.2 \times (\frac{1}{1^2} - \frac{1}{2^2}) = 2815.2 \times \frac{3}{4} = 2111.4$ eV. The corresponding wavelength is $\lambda = \frac{1240}{2111.4} \text{ nm} \approx 0.587 \text{ nm} = 5.87 \times 10^{-10}$ m, matching closest to $5.91 \times 10^{-10}$ m based on more exact constants. Therefore, correct answer is C.

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