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Radius of a Bohr orbit of a hydrogen-like species (r proportional to n^2/Z)

This type of question, asked 7 times: 26 Jun 2022, 25 Jan 2023, 29 Jan 2023, 22 Jan 2025, 2 Apr 2025, 4 Apr 2026 S2, 6 Apr 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    26 Jun 2022

    33
    If the radius of the 3rd 3^{\text{rd~}} Bohr's orbit of hydrogen atom is r3r_{3} and the radius of 4th 4^{\text{th~}} Bohr's orbit is r4r_{4}. Then:

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  2. Question 2

    25 Jan 2023

    42
    The radius of the 2nd 2^{\text{nd~}} orbit of Li2+Li^{2 +} is xx. The expected radius of the 3rd 3^{\text{rd~}} orbit of Be3+Be^{3 +} is

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  3. Question 3

    29 Jan 2023

    141
    Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6Å0.6\text{Å}. The radius of the third Bohr orbit of He+He^{+}is ____picometer. (Nearest Integer)
  4. Question 4

    22 Jan 2025

    34
    Radius of the first excited state of Helium ion is given as : a0→a_{0}\rightarrow radius of first stationary state of hydrogen atom.

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  5. Question 5

    2 Apr 2025

    30
    According to Bohr's model of hydrogen atom, which of the following statement is incorrect?

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  6. Question 6

    4 Apr 2026 S2

    27
    The species having identical radii according to the Bohr's theory are : (A) H (first orbit) (B) He+{He}^{+}(first orbit) (C) He+{He}^{+}(second orbit) (D) Li2+{Li}^{2 +} (first orbit) (E) Be3+{Be}^{3 +} (Second orbit) Choose the correct answer from the options given below :

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  7. Question 7

    6 Apr 2026 S2

    27
    The Bohr radius of a hydrogen like species is 70.53 pm . The species and the stationary state(n) are respectively (Given: Hydrogen atom Bohr radius is 52.9 pm )

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