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How a Bohr-orbit quantity (force, field, frequency, energy, acceleration, magnetic moment) depends on n

This type of question, asked 13 times: 15 May 2023 S2, 9 May 2024 S2, 11 May 2024 S2, 14 May 2024 S1, 19 Apr 2025 S2, 20 Apr 2025 S2, 21 Apr 2025 S2, 11 Apr 2026 S2, 13 Apr 2026 S1, 15 Apr 2026 S1, 16 Apr 2026 S1, 17 Apr 2026 S1, 19 Apr 2026 S2. All 13 questions below, oldest first.

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  1. Question 1

    15 May 2023 S2

    14
    Acceleration of an electron in the first Bohr's orbit is proportional to (mm = mass of electron, rr = radius of the orbit, hh = Planck's constant)

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  2. Question 2

    9 May 2024 S2

    18
    The force acting on the electron in hydrogen atom (Bohr's theory) is related to the principal quantum number nn as

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  3. Question 3

    11 May 2024 S2

    33
    According Bohr's theory of hydrogen atom, the total energy of the electron in the nth stationary orbit is

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  4. Question 4

    14 May 2024 S1

    13
    Magnetic field at the centre of the hydrogen atom due to motion of electrons in nnth orbit is proportional to

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  5. Question 5

    19 Apr 2025 S2

    6
    The frequency of revolution of an electron in the nth n^{\text{th~}} orbit of hydrogen atom is

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  6. Question 6

    20 Apr 2025 S2

    10
    The ratio of angular momentum of an electron in nth n^{\text{th~}} orbit of hydrogen atom to the velocity of electron in nth n^{\text{th~}} orbit is proportional to

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  7. Question 7

    21 Apr 2025 S2

    24
    An electron moves in Bohr orbit. The magnetic field at the centre is proportional to

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  8. Question 8

    11 Apr 2026 S2

    147
    In Bohr's theory of hydrogen atom, 'r' is the radius of the orbit, 'V' is the speed of electron and E is the total energy of the electron. Out of the following which physical quantity is inversely proportional to principal quantum number?

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  9. Question 9

    13 Apr 2026 S1

    146
    The ratio of centripetal acceleration for an electron revolving in 3rd and 5th Bohr orbit of hydrogen atom is

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  10. Question 10

    15 Apr 2026 S1

    146
    If 'E' and 'L' denote the magnitude of total energy and angular momentum of revolving electron in nthn^{th} Bohr orbit then

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  11. Question 11

    16 Apr 2026 S1

    146
    The force acting on the electron in hydrogen atom (Bohr's theory) is related to the principal quantum number n as

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  12. Question 12

    17 Apr 2026 S1

    146
    The orbital magnetic moment (morb)(m_{orb}) of a revolving electron around the nucleus varies with the principal quantum number (n)(n) as

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  13. Question 13

    19 Apr 2026 S2

    146
    The magnetic moment of electron due to orbital motion is proportional to (nn = principal quantum number)

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