Question Details

Match List I with List II

List-I
(Quantum Number)

List-II
(Information provided))

(A) mI (I) Shape of orbital
(B) ms (II) Size of orbital
(C) I (III) Orientation of orbital
(D) n (IV) Orientation of spin of
electron

Choose the correct answer from the options given below:

Options

A

A-I, B-III, C-II, D-IV

B

A-III, B-IV, C-I, D-II

C

A-III, B-IV, C-II, D-I

D

A-II, B-I, C-IV, D-III

Show Answer

Correct Answer :

Option B

A-III, B-IV, C-I, D-II

A-III, B-IV, C-I, D-II

Solution :

To match the quantum numbers in List-I with the information they provide in List-II, let us recall the definitions and physical significance of the four quantum numbers:

1. Principal Quantum Number (n):
The principal quantum number, n, determines the main energy level or shell in which an electron resides. It primarily determines the size of the orbital (and also its energy). As n increases, the orbital becomes larger, and the electron spends more time further from the nucleus.
Therefore, (D) matches with (II).

2. Azimuthal (Orbital Angular Momentum) Quantum Number (l):
Note: In the table, the symbol is written as ml for (A), ms for (B), and "I" (which represents the lowercase letter l) for (C). The azimuthal quantum number l defines the subshell and determines the shape of the orbital (e.g., spherical for s, dumbbell for p, double dumbbell for d).
Therefore, (C) matches with (I).

3. Magnetic Quantum Number (ml):
The magnetic quantum number, ml (written as mI in List-I), describes the spatial orientation of the orbital in three-dimensional space relative to a standard set of coordinate axes.
Therefore, (A) matches with (III).

4. Spin Quantum Number (ms):
The spin quantum number, ms, describes the spin angular momentum of an electron within an orbital, specifying the orientation of spin of the electron (either spin-up or spin-down).
Therefore, (B) matches with (IV).

Combining all the correct matches, we get:
(A) - (III)
(B) - (IV)
(C) - (I)
(D) - (II)

This corresponds to the correct option: A-III, B-IV, C-I, D-II.

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