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Recoil of a hydrogen atom on emitting a photon

This type of question, asked 3 times: 2021 Paper 26, 29 Jan 2024, 4 Apr 2024. All 3 questions below, oldest first.

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  1. Question 1

    2021 Paper 26

    13
    The recoil speed of a hydrogen atom after it emits a photon in going from n=5n = 5 state to n=1n = 1 state will be:

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  2. Question 2

    29 Jan 2024

    21
    When a hydrogen atom going from n=2n= 2 to n=1n= 1 emits a photon, its recoil speed is X5 m/s\frac{X}{5}\text{ }m/s. Where x=x = ______ . (Use: mass of hydrogen atom =1.6×10−27 kg= 1.6 \times10^{- 27}\text{ }kg )

  3. Question 3

    4 Apr 2024

    22
    A hydrogen atom changes its state from n=3n = 3 to n=2n = 2. Due to recoil, the percentage change in the wave length of emitted light is approximately 1×10−n1 \times10^{- n}. The value of nn is ______ [Given Rhc =13.6eV= 13.6eV, hc =1242eVnm= 1242eVnm, h=6.6×10−34 Jsh = 6.6 \times10^{- 34}\text{ }Js, mass of the hydrogen atom  =1.6×10−27 kg]\left. \ = 1.6 \times10^{- 27}\text{ }kg \right\rbrack