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Relation between the series limits and first-line wavelengths or frequencies of two series

This type of question, asked 2 times: 12 May 2024 S1, 26 Apr 2025 S2. All 2 questions below, oldest first.

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  1. Question 1

    12 May 2024 S1

    16
    In Lyman series, series limit of wavelength is λ1\lambda_{1}. The wavelength of first line of Lyman series is λ2\lambda_{2} and in Balmer series, the series limit of wavelength is λ3\lambda_{3}. Then the relation between λ1\lambda_{1}, λ2\lambda_{2} and λ3\lambda_{3} is

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  2. Question 2

    26 Apr 2025 S2

    24
    The frequencies for series limit of Balmer and Panchen series are ' V1V_{1} ' and ' V3V_{3} ' respectively. If frequency of first line of Balmer series ' V2V_{2} ' then the relation between V1,V2V_{1},V_{2} and V3V_{3} is

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