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Wavelength or wavenumber of a spectral line, or which transition gives a given line

This type of question, asked 3 times: 23 Jan 2025, 24 Jan 2026 S2, 28 Jan 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    23 Jan 2025

    27
    Heat treatment of muscular pain involves radiation of wavelength of about 900 nm . Which spectral line of H atom is suitable for this ? Given: Rydberg constant
     RH=105 cm−1, h=6.6×10−34 J s,c=3×108 m/s)\left. \ R_{H}=10^{5}{\text{ }cm}^{- 1},\text{ }h = 6.6 \times10^{- 34}\text{ }J\text{ }s,c = 3 \times10^{8}\text{ }m/s \right)

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  2. Question 2

    24 Jan 2026 S2

    38
    The wavelength of spectral line obtained in the spectrum of Li2+Li^{2+} ion, when the transition takes place between two levels whose sum is 4 and difference is 2 , is

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  3. Question 3

    28 Jan 2026 S1

    41
    The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balmer series. ( R=R = Rydberg constant)

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