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Energy of a Bohr stationary state or energy gap between two orbits of a hydrogen-like species

This type of question, asked 6 times: 2021 Paper 11, 10 Apr 2023, 13 Apr 2023, 22 Jan 2026 S1, 23 Jan 2026 S1, 2 Apr 2026 S1. All 6 questions below, oldest first.

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  1. Question 1

    2021 Paper 11

    21
    The difference in energy between the 2nd and 3rd orbit of He+He^{+}ion will be?

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  2. Question 2

    10 Apr 2023

    148
    The electron in the nth n^{\text{th~}} orbit of Li2+Li^{2 +} is excited to (n+1)(n + 1) orbit using the radiation of energy 1.47×10−17 J1.47 \times10^{- 17}\text{ }J (as shown in the diagram). The value of nn is__ Given RH=2.18×10−18 JR_{H}= 2.18 \times10^{- 18}\text{ }J

  3. Question 3

    13 Apr 2023

    48
    The energy of an electron in the first Bohr orbit of hydrogen atom is −2.18×10−18J- 2.18 \times10^{- 18}J. Its energy in the third Bohr orbit is___

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  4. Question 4

    22 Jan 2026 S1

    29
    The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr orbit is ____\_\_\_\_ Jmol−1Jmol^{- 1}. Given : RH=2.18×10−11R_{H}= 2.18 \times10^{- 11} ergs.

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  5. Question 5

    23 Jan 2026 S1

    26
    Which of the following statements regarding the energy of the stationary state is true in the following one-electron system ?

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  6. Question 6

    2 Apr 2026 S1

    27
    What is the energy (in J atom−1\mathrm{J\ atom^{-1}}) required for the following process? Li2+(g)→Li3+(g)+e−Li^{2 +}(g) \rightarrow Li^{3 +}(g) +e^{-} (Take the ionization energy for the H atom in the ground state as 2.18×10−18 J atom−12.18 \times10^{- 18}\ \mathrm{J\ atom^{-1}})

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