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The Rydberg equation can be adapted for hydrogen-like atoms (i.e. simple ions with a single electron) as shown below: 1 1 = (R, *2)*6 ()

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The Rydberg equation can be adapted for hydrogen-like atoms (i.e. simple ions with a single electron) as shown below: 1 1 = (R, *2")*6 () * ) 1 n3 where Z is the atomic number of the hydrogen-like atom, 2 is the wavelength of the emitted photon, Ry is the Rydberg constant and ni and n2 are the quantum numbers of the lower and upper energy levels respectively. (1) Briefly explain why the Rydberg equation has to be modified for hydrogen-like atoms. (ii) A hydrogen-like atom emits a photon of wavelength 11.39 nm when an electron relaxes from the n = 3 energy level to the n = 1 energy level. Determine Z and hence the identity of the ion

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