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Recoil velocity of a hydrogen atom when its electron jumps to the ground level

The same question, asked 2 times: 2 May 2023 S2*, 15 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S2

    10
    An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission is (m = mass of electron, R = Rydberg's constant, h = Planck's constant)

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  2. Question 2

    15 May 2026 S1

    146
    An electron of stationary hydrogen atom jumps from 4th energy level to ground level. The recoil velocity of the atom as a result of electron transition will be (hh = Planck's constant, RR = Rydberg's constant, m=mass of hydrogen atomm = \text{mass of hydrogen atom})

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