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Structure of Atoms and Nuclei

MHT-CET Physics. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 16 times: 4 in 2023, 4 in 2024, 4 in 2025, 4 in 2026. This one: 15 May 2026 S2 See all 16 of this type

    146
    In hydrogen like spectrum if wavelength of transition from 3rd3^{rd} to 2nd2^{nd} orbit is λ1\lambda_1 then wavelength of transition from 4th4^{th} to 3rd3^{rd} orbit (Bohr's) is λ2\lambda_2. If λ2/λ1=20/x\lambda_2/\lambda_1 = 20/x then value of xx is

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  2. Question 2

    This type 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. This one: 19 Apr 2026 S2 See all 13 of this type

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

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  3. Question 3

    This type asked 9 times: 4 May 2023 S2, 15 May 2023 S1, 14 May 2024 S2, 17 Apr 2026 S1, 18 Apr 2026 S2, 19 Apr 2026 S1, 20 Apr 2026 S2, 14 May 2026 S1, 19 May 2026 S1. This one: 19 May 2026 S1 See all 9 of this type

    147
    Initially 8×10108 \times 10^{10} atoms are present in a radioactive sample. The half-life of the sample is 1 hour. The number of atoms that will decay in the time interval t=2t = 2 hour to t=5t = 5 hour, is

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  4. Question 4

    This type asked 6 times: 3 May 2023 S1, 15 May 2023 S2, 22 Apr 2025 S1, 22 Apr 2025 S2, 12 May 2026 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 6 of this type

    147
    A radioactive nucleus ZAX{}_Z^AX undergoes spontaneous decay in the sequence ZAX→Z−1B→Z−3C→Z−2D{}_Z^AX \rightarrow {}_{Z-1}B \rightarrow {}_{Z-3}C \rightarrow {}_{Z-2}D where ZZ is the atomic number of element. The possible decay particles in the sequence are

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  5. Question 5

    This type asked 6 times: 9 May 2023 S2, 11 May 2023 S2, 10 May 2024 S2, 11 May 2024 S1, 25 Apr 2025 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 6 of this type

    147
    In hydrogen atom, an electron jumps from higher orbit to lower orbit so that radius of the lower orbit is (14)th\left(\dfrac{1}{4}\right)^{th} of radius of higher orbit. If speed of electron in higher orbit was V, then speed in lower orbit is

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  6. Question 6

    This type asked 6 times: 2 May 2023 S1, 3 May 2023 S2, 15 May 2023 S1, 15 Apr 2026 S2, 18 Apr 2026 S1, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 6 of this type

    146
    If the difference between (n+1)th(n + 1)^{th} Bohr radius and nthn^{th} Bohr radius is given by (n−1)th(n - 1)^{th} Bohr radius, then the value of n is

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  7. Question 7

    This type asked 5 times: 23 Apr 2025 S1, 25 Apr 2025 S1, 26 Apr 2025 S2, 17 Apr 2026 S2, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 5 of this type

    147
    A radioactive element has rate of disintegration 16,00016{,}000 disintegrations per minute at a particular instant. After four minutes, it becomes 20002000 disintegrations per minute. The decay constant per minute is

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  8. Question 8

    This type asked 5 times: May 2021 S1, May 2022 S1, 16 May 2023 S1, 14 May 2024 S1, 17 Apr 2026 S1. This one: 17 Apr 2026 S1 See all 5 of this type

    145
    For wavelength of visible radiation of Hydrogen spectrum, Balmer gave an equation as λ=xm2m2−4\lambda = \dfrac{xm^2}{m^2 - 4}, where m is the integer value. The value of x in terms of Rydberg's constant R is

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  9. Question 9

    Asked 4 times: 11 May 2024 S2, 19 Apr 2025 S2*, 11 Apr 2026 S2, 14 May 2026 S1 (* = numbers or wording changed that year) See all 4 times it was asked

    146
    Bohr model is applied to a particle of mass mm and charge qq is moving in a plane under the influence of a transverse magnetic field BB. The energy of the charged particle in nthn^{th} level will be (hh = Planck's constant)

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  10. Question 10

    Asked 4 times: 3 May 2023 S2*, 21 Apr 2025 S2*, 25 Apr 2025 S2, 13 May 2026 S1 (* = numbers or wording changed that year) See all 4 times it was asked

    147
    Using Bohr's quantisation condition, what is the rotational kinetic energy in the second orbit for a diatomic molecule (I = moment of inertia of diatomic molecule, h = Planck's constant)

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