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Ratio of photon energies: transition from a level to the next lower level vs from the highest level to that same level

The same question, asked 2 times: 25 Jul 2022*, 29 Jul 2022. Every wording below, oldest first.

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  1. Question 1

    25 Jul 2022

    114
    xx+4\frac{x}{x + 4} is the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) third permitted energy level to the second level and (ii) the highest permitted energy level to the second permitted level. The value of xx will be

  2. Question 2

    29 Jul 2022

    17
    Find the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level.

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