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Ratio of wavelengths or frequencies of two given lines of the hydrogen spectrum

This type of question, asked 16 times: 3 May 2023 S1, 4 May 2023 S1, 4 May 2023 S2, 9 May 2023 S1, 10 May 2024 S1, 12 May 2024 S1, 12 May 2024 S2, 14 May 2024 S2, 19 Apr 2025 S1, 20 Apr 2025 S1, 20 Apr 2025 S2, 26 Apr 2025 S1, 13 Apr 2026 S2, 13 May 2026 S1, 14 May 2026 S2, 15 May 2026 S2. All 19 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    49
    If 'λ1\lambda_1' and 'λ2\lambda_2' are the wavelengths of the first line of the Lyman and Paschen series respectively, then λ2:λ1\lambda_2:\lambda_1 is

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  2. Question 2

    4 May 2023 S1

    48
    For hydrogen atom, λ1\lambda_1 and λ2\lambda_2 are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure [transition 1: n=3→1n=3\to1; transition 2: n=2→1n=2\to1]. The ratio of λ1\lambda_1 and λ2\lambda_2 is x32\frac{x}{32}. The value of xx is

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  3. Question 3

    4 May 2023 S2

    22
    The ratio of minimum wavelengths of Lyman and Balmer series will be

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  4. Question 4

    9 May 2023 S1

    35
    According to Bohr's theory of hydrogen atom, the ratio of the maximum and minimum wavelength of Lyman series will be

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  5. Question 5

    9 May 2023 S1

    26
    In hydrogen atom, ratio of the shortest wavelength in the Balmer series to that in the Paschen series is

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  6. Question 6

    10 May 2024 S1

    41
    The ratio of longest to shortest wavelength emitted in Paschen series of hydrogen atom is

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  7. Question 7

    12 May 2024 S1

    40
    The wavelength of 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

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  8. Question 8

    12 May 2024 S2

    50
    In Balmer series, wavelength of the 2nd line is 'λ1\lambda_1', and for Paschen series, wavelength of the 1st line is 'λ2\lambda_2'; then the ratio 'λ1\lambda_1' to 'λ2\lambda_2' is

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  9. Question 9

    14 May 2024 S2

    10
    Ratio of longest wavelength corresponding to Lyman & Balmer series in Hydrogen spectrum is

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  10. Question 10

    19 Apr 2025 S1

    42
    The ratio of the wavelength of the last line of Paschen series to that of Balmer series is

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  11. Question 11

    19 Apr 2025 S1

    11
    If ' λ1\lambda_{1} ' and ' λ2\lambda_{2} ' are the wavelengths of the first member of the Balmer and Paschen series, in hydrogen atom respectively, then the ratio of respective frequencies, f1/f2f_{1}/f_{2}, is

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  12. Question 12

    20 Apr 2025 S1

    1
    In hydrogen spectrum, the ratio of wavelengths of the last line of Lyman series and that of the last line of Balmer series is

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  13. Question 13

    20 Apr 2025 S2

    36
    In hydrogen atom spectrum, when an electron jumps from second excited state to the first excited state, the wavelength of radiation emitted is ' λ\lambda '. If the electron jumps from the third excited state to the second orbit, the wavelength of radiation emitted will be 20λx\frac{20\lambda}{x}. The value of xx is

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  14. Question 14

    26 Apr 2025 S1

    44
    In Paschen series, wavelength of first line is 'λ1\lambda_{1}' and for Brackett series, wavelength of first line is 'λ2\lambda_{2}' then ratio λ1λ2\frac{\lambda_{1}}{\lambda_{2}} is

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  15. Question 15

    13 Apr 2026 S2

    147
    For hydrogen atom, λ1\lambda_1 and λ2\lambda_2 are the wavelengths corresponding to the transitions 11 and 22 respectively as shown in figure. The ratio of λ1\lambda_1 and λ2\lambda_2 is x/32x/32. The value of xx is

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  16. Question 16

    13 Apr 2026 S2

    146
    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 (20λ0/x)(20\lambda_0/x). The value of xx is

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  17. Question 17

    13 May 2026 S1

    146
    The ratio of minimum wavelengths of Lyman and Balmer series will be

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  18. Question 18

    14 May 2026 S2

    146
    If λ1\lambda_1 and λ2\lambda_2 are the wavelengths of the first members of the Lyman and Paschen series respectively then λ1:λ2\lambda_1 : \lambda_2 is

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  19. Question 19

    15 May 2026 S2

    146
    In hydrogen like spectrum if wavelength of transition from 3rd3^{rd} to 2nd2^{nd} orbit is λ1\lambda_1 then wavelength of transition from 4th4^{th} to 3rd3^{rd} orbit (Bohr's) is λ2\lambda_2. If λ2/λ1=20/x\lambda_2/\lambda_1 = 20/x then value of xx is

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