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How a Bohr-orbit quantity (speed, frequency, magnetic moment, angular momentum) varies with n or r

This type of question, asked 4 times: 2021 Paper 7, 30 Jan 2024, 5 Apr 2024, 28 Jan 2025. All 4 questions below, oldest first.

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  1. Question 1

    2021 Paper 7

    4
    If an electron is moving in the nth n^{\text{th~}} orbit of the hydrogen atom, then its velocity (vn)\left( v_{n} \right) for the nth n^{\text{th~}} orbit is given as :

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  2. Question 2

    30 Jan 2024

    97
    An electron revolving in nth n^{\text{th~}} Bohr orbit has magnetic moment μn\mu_{n}. If μnαnx\mu_{n}\alpha n^{x}, the value of xx is:

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  3. Question 3

    5 Apr 2024

    93
    The angular momentum of an electron in a hydrogen atom is proportional to : (Where rr is the radius of orbit of electron)

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  4. Question 4

    28 Jan 2025

    82
    The frequency of revolution of the electron in Bohr's orbit varies with n , the principal quantum number as

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