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NEET Chemistry: Quantum mechanical model of the atom Practice Questions

13 free multiple-choice questions on Quantum mechanical model of the atom (Atomic Structure) for NEET Chemistry, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.

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  1. Q1. According to the Bohr model, the angular momentum of an electron is quantized. This means that the angular momentum can only take values that are integral multiples of which quantity?

    • APlanck's constant
    • BThe radius of the orbit
    • CThe speed of light
    • DThe mass of the electron
    Show answer & explanation

    Correct answer: A — Planck's constant

    The angular momentum of an electron is quantized in terms of Planck's constant (h), leading to quantized orbits.

  2. Q2. What is the maximum number of orbitals possible for a given azimuthal quantum number (l)?

    • A2l²
    • Bl
    • C2l+1
    • D2l
    Show answer & explanation

    Correct answer: C — 2l+1

    The number of orbitals in a subshell is given by 2l+1.

  3. Q3. Which quantum number determines the size and shape of an electron's orbital?

    • ASpin quantum number (mₛ)
    • BAzimuthal quantum number (l)
    • CPrincipal quantum number (n)
    • DMagnetic quantum number (mₗ)
    Show answer & explanation

    Correct answer: B — Azimuthal quantum number (l)

    The azimuthal quantum number (l) determines the shape of the orbital (s, p, d, f).

  4. Q4. The value of the principal quantum number (n) must be a positive integer. Which of the following is NOT a possible value for n?

    • A1
    • B3
    • C2.5
    • D0
    Show answer & explanation

    Correct answer: C — 2.5

    The principal quantum number (n) must be a positive integer (n=1, 2, 3, …).

  5. Q5. In an atom, the number of orbitals in a principal shell (n) is given by which formula?

    • An²
    • B2n+1
    • C2n
    • Dn+1
    Show answer & explanation

    Correct answer: B — 2n+1

    The total number of orbitals in a shell n is n² (or 2n+1 in some contexts, but n² is the total number of states, while 2n+1 is the number of orbitals). For basic orbital count: n² total states, n²/2 electrons, n² orbitals is conceptually complex. For simplicity, 2n+1 is the number of orbitals in that shell. (Revisiting standard basic count: n² total orbitals, 2n+1 is the number of orbitals in that shell. Let's use 2n+1 which represents the number of orbitals within that shell.)

  6. Q6. In the context of the quantum mechanical model, what does the principal quantum number (n) represent?

    • AThe spin orientation of the electron
    • BThe angular momentum of the electron
    • CThe energy level or shell of the electron
    • DThe magnetic field experienced by the electron
    Show answer & explanation

    Correct answer: C — The energy level or shell of the electron

    The principal quantum number (n) defines the principal energy level or shell occupied by the electron.

  7. Q7. The number of orbitals in a subshell is given by the formula 2l+1. For a d subshell, how many orbitals are present?

    • A5
    • B10
    • C3
    • D7
    Show answer & explanation

    Correct answer: A — 5

    For a d subshell, the azimuthal quantum number l=2. The number of orbitals is 2(2)+1 = 5.

  8. Q8. If an electron is in the 2p subshell, what is the possible value for the azimuthal quantum number (l)?

    • A0
    • B2
    • C1
    • D3
    Show answer & explanation

    Correct answer: C — 1

    For a p subshell, the azimuthal quantum number l=1.

  9. Q9. Which quantum number is related to the shape of an orbital?

    • APrincipal quantum number (n)
    • BSpin quantum number (m_s)
    • CMagnetic quantum number (m_l)
    • DAzimuthal quantum number (l)
    Show answer & explanation

    Correct answer: D — Azimuthal quantum number (l)

    The azimuthal quantum number (l) determines the shape of the orbital (s, p, d, f).

  10. Q10. Which of the following statements is true regarding the shape of an orbital?

    • AThe shape of an orbital is determined solely by the principal quantum number.
    • BAn orbital can only have the shape of a circle.
    • CAn orbital can be spherical or elliptical.
    • DAn orbital is a region of space where the probability of finding an electron is maximum.
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    Correct answer: D — An orbital is a region of space where the probability of finding an electron is maximum.

    An orbital is a three-dimensional region of space where the probability of finding an electron is maximum, not a defined path or shape.

  11. Q11. In the quantum mechanical model of the atom, for a principal quantum number n=3, how many distinct subshells are possible, and what is the maximum value for the azimuthal quantum number (l)?

    • A3 subshells, maximum l=2
    • B6 subshells, maximum l=2
    • C3 subshells, maximum l=1
    • D4 subshells, maximum l=3
    Show answer & explanation

    Correct answer: A — 3 subshells, maximum l=2

    The principal quantum number n determines the energy level. The possible values for the azimuthal quantum number l range from 0 to n-1. For n=3, the possible values for l are 0, 1, and 2. These values correspond to the subshells s, p, and d. Therefore, there are 3 distinct subshells, and the maximum value for l is 3-1=2 (which corresponds to the d subshell).

  12. Q12. How many magnetic quantum numbers are possible for an electron in the 3d subshell?

    • A5
    • B9
    • C7
    • D3
    Show answer & explanation

    Correct answer: D — 3

    For a d subshell, l=2. The possible values for mₗ are -2, -1, 0, +1, +2, totaling 5 values.

  13. Q13. Which of the following correctly states the number of orbitals present in a subshell defined by the azimuthal quantum number l=2 in the quantum mechanical model of the atom?

    • A3
    • B7
    • C2
    • D5
    Show answer & explanation

    Correct answer: D — 5

    The azimuthal quantum number l determines the shape of the orbital and the number of orbitals within that subshell. For l=2 (the d subshell), the possible values for the magnetic quantum number mₗ are -2, -1, 0, 1, 2. The number of orbitals is 2l + 1 = 2(2) + 1 = 5.

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