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Wavelength of the photon emitted or absorbed in a given hydrogen-like transition

This type of question, asked 5 times: 2021 Paper 4, 27 Jun 2022, 24 Jan 2023, 6 Apr 2024, 5 Apr 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    2021 Paper 4

    4
    The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n=2n = 2 to n=1n = 1 state is:

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  2. Question 2

    27 Jun 2022

    24
    A beam of monochromatic light is used to excite the electron in Li++Li^{+ +}from the first orbit to the third orbit. The wavelength of monochromatic light is found to be x×10−10 mx \times10^{- 10}\text{ }m. The value of xx is

  3. Question 3

    24 Jan 2023

    97
    A photon is emitted in transition from n=4n = 4 to n=1n = 1 level in hydrogen atom. The corresponding wavelength for this transition is (given, h=4×10−15eVsh = 4 \times10^{- 15}eVs ):

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  4. Question 4

    6 Apr 2024

    111
    In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is observed at 10.2 V. The wavelength of light emitted by hydrogen atom when excited to the first excitation level is _____ nmnm. (Given hc =1245eVnm,e=1.6×10−19C= 1245eVnm,e = 1.6 \times10^{- 19}C ).

  5. Question 5

    5 Apr 2026 S1

    11
    In the hydrogen atom, the electron makes a transition from the higher orbit (i) to a lower orbit (f). The ratio of the radius of the orbits is given by ri:rf=16:4r_{i}:r_{f}= 16:4. The wavelength of photon emitted due to this transition is ____\_\_\_\_ nm. (Given Rydberg constant =1.0973×107/m= 1.0973 \times10^{7}/m )

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