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Ratio of photon energies for a transition to a level and from the highest level to the next

The same question, asked 2 times: 11 May 2023 S1*, 26 Apr 2025 S1. Every wording below, oldest first.

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  1. Question 1

    11 May 2023 S1

    16
    The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (a) second to first energy level and (b) highest energy level to second level is

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  2. Question 2

    26 Apr 2025 S1

    47
    The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (i) third to 2nd 2^{\text{nd~}} energy level and (ii) highest energy level to 3rd 3^{\text{rd~}} level is

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