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Ratio of wavelengths of two named hydrogen spectral lines

This type of question, asked 7 times: 2021 Paper 25, 25 Jan 2023, 8 Apr 2023, 31 Jan 2024, 6 Apr 2024, 7 Apr 2025, 6 Apr 2026 S1. All 7 questions below, oldest first.

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  1. Question 1

    2021 Paper 25

    1
    If λ1\lambda_{1} and λ2\lambda_{2} are the wavelengths of the third member of Lyman and first member of the Paschen series respectively, then the value of λ1:λ2\lambda_{1}:\lambda_{2} is:

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  2. Question 2

    25 Jan 2023

    22
    The wavelength of the radiation emitted is λ0\lambda_{0} when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second orbit of the hydrogen atom, the wavelength of the radiation emitted will be 20xλ0\frac{20}{x}\lambda_{0}. The value of xx is

  3. Question 3

    8 Apr 2023

    113
    The ratio of wavelength of spectral lines HαH_{\alpha} and HβH_{\beta} in the Balmer series is x20\frac{x}{20}. The value of xx is___

  4. Question 4

    31 Jan 2024

    6
    If the wavelength of the first member of Lyman series of hydrogen is λ\lambda. The wavelength of the second member will be

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  5. Question 5

    6 Apr 2024

    3
    The ratio of the shortest wavelength of Balmer series to the shortest wavelength of Lyman series for hydrogen atom is:

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  6. Question 6

    7 Apr 2025

    16
    For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is.

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  7. Question 7

    6 Apr 2026 S1

    19
    The ratio of momentum of the photons of the 1st 1^{\text{st~}} and 2nd 2^{\text{nd~}} line of Balmer series of Hydrogen atoms is α/β\alpha/\beta. The possible values of α\alpha and β\beta are :-

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