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Energy of the electron in an orbit from E proportional to Z squared over n squared

This type of question, asked 4 times: 2 May 2023 S1, 16 May 2023 S2, 23 Apr 2025 S1, 17 Apr 2026 S2. All 4 questions below, oldest first.

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  1. Question 1

    2 May 2023 S1

    27
    In the third orbit of hydrogen atom the energy of an electron is EE. In the fifth orbit of helium (Z=2Z=2) the energy of an electron will be

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  2. Question 2

    16 May 2023 S2

    4
    In the second orbit of hydrogen atom, the energy of an electron is EE. In the third orbit of helium atom, the energy of the electron will be (atomic number of helium =2= 2)

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  3. Question 3

    23 Apr 2025 S1

    17
    In hydrogen atom, the energy of electron in first and third orbit is ' E1E_{1} ' and' E3E_{3} ' respectively. If E3=xE1E_{3}=xE_{1} then the value of xx will be

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  4. Question 4

    17 Apr 2026 S2

    146
    In Bohr's atomic model, the energy of the electron is 'E' in the second orbit of hydrogen atom. So the energy of the electron in the third orbit of helium atom (Z=2)(Z = 2) will be

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