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Activity 26-5. Atomic spectra [Accompanies Section 26-5] A certain type of atom (not hydrogen) has three...

Activity 26-5. Atomic spectra [Accompanies Section 26-5]

A certain type of atom (not hydrogen) has three energy levels numbered 1, 2, and 3, as shown in the upper illustration. There are three possible transitions between these levels that lead to emission of a photon: 3 → 1, 3 → 2, and 2 → 1.

The lower illustration shows the emission spectrum from a gas of these atoms. There are three emission lines, A, B, and C.

(a) Rank the photons emitted in the transitions 3 → 1, 3 → 2, and 2 → 1 in order of their energy, from highest energy to lowest energy. If any two photons have the same energy, state this. Explain how you made your ranking.

(b) Rank the photons emitted in the transitions 3 → 1, 3 → 2, and 2 → 1 in order of their wavelength, from longest wavelength to shortest wavelength. If any two photons have the same wavelength, state this. Explain how you made your ranking.

(c) On the illustration of the emission spectrum reproduced below, label each of the emission lines A, B, and C with the name of the transition (3 → 1, 3 → 2, or 2 → 1) that causes that emission line. Explain your reasoning.

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Ranking of transitions according to decreasing 1) photon energy 2)  wavelength of emitted photon. Drawing of emission spectrum.

(a) The energy difference between adjacent electronic orbits decreases as we move towards higher energy arbitra so 2 transitiAssuming transition energy ni we get دد 1.125 a H z he E and X2 2 1 Ees 1.333. a n2 2 دو 2 7.2 a ba is a where > emission Con

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