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Radius of a Bohr orbit in hydrogen or a hydrogen-like ion (r proportional to n squared over Z)

This type of question, asked 6 times: 31 Jan 2023, 6 Apr 2023, 13 Apr 2023, 27 Jan 2024, 2 Apr 2025, 4 Apr 2025. All 6 questions below, oldest first.

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  1. Question 1

    31 Jan 2023

    102
    The radius of electron's second stationary orbit in Bohr's atom is RR. The radius of 3 rd orbit will be

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  2. Question 2

    6 Apr 2023

    26
    The radius of fifth orbit of the Li++Li^{+ +}is ___×10−12\_\_\_ \times10^{- 12} mm. Take: radius of hydrogen atom =0.51Å= 0.51\text{Å}

  3. Question 3

    13 Apr 2023

    25
    The radius of 2nd 2^{\text{nd~}} orbit of He+He^{+}of Bohr's model is r1r_{1} and that of fourth orbit of Be3+Be^{3 +} is represented as r2r_{2}. Now the ratio r2r1\frac{r_{2}}{r_{1}} is x:1x:1. The value of xx is____

  4. Question 4

    27 Jan 2024

    11
    The radius of third stationary orbit of electron for Bohr's atom is RR. The radius of fourth stationary orbit will be:

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  5. Question 5

    2 Apr 2025

    86
    Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of Li++Li^{+ +}ion in its ground state is given by 1Xa0\frac{1}{X}a_{0}, where X=X= . (Where a0a_{0} is the first Bohr's radius.)

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  6. Question 6

    4 Apr 2025

    20
    Considering the Bohr model of hydrogen like atoms, the ratio of the radius of the 5th 5^{\text{th~}} orbit of the electron in Li2+Li^{2 +} to that in He+He^{+} is

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