Consider the following statements: (A) The principal quantum number ' \(n\) ' is a positive integer with values of ' n ' \(=1,2,3, \ldots\). (B) The azimuthal quantum number ' \(l\) ' for a given ' \(n\) ' (principal quantum number) can have values as \(' l '=0,1,2, \ldots . \mathrm{n}\) (C) Magnetic orbital quantum number ' \(\mathrm{m}_{l}\) ' for a particular ' \(l\) ' (azimuthal quantum number) has ( \(2 l +1)\) values. (D) \(\pm 1 / 2\) are the two possible orientations of electron spin. (E) For \(l=5\), there will be a total of 9 orbital. Which of the above statements are correct?

JEE Main · 2022 · 28 Jun 2022 · Shift 2 · Atomic Structure

Consider the following statements:
(A) The principal quantum number '

n

' is a positive integer with values of ' n '

= 1, 2, 3, \dots

.
(B) The azimuthal quantum number '

l

' for a given '

n

' (principal quantum number) can have values as

^{'} l^{'} = 0, 1, 2, \dots . n

m_{l}

' for a particular '

l

' (azimuthal quantum number) has (

2 l + 1)

values.
(D)

\pm 1/2

are the two possible orientations of electron spin.
(E) For

l = 5

, there will be a total of 9 orbital.

Which of the above statements are correct?

(A)(A), (B) and (C)
(B)(A), (C), (D) and (E)
(C)(A), (C) and (D)✓ Correct
(D)(A), (B), (C) and (D)

Answer: (C)

Solution

Evaluate each statement: (A) is correct—principal quantum number n takes positive integer values 1, 2, 3, … (B) is incorrect—azimuthal quantum number l ranges from 0 to (n−1), not 0 to n. (C) is correct—for a given l, magnetic quantum number

m_{l}

has (2l+1) values from −l to +l. (D) is correct—electron spin quantum number has two values: +1/2 and −1/2. (E) is incorrect—for l=5, the number of orbitals is 2l+1 = 11, not 9. Therefore, statements (A), (C), and (D) are correct.

JEE Main · 2022 · 28 Jun 2022 · Shift 2 · Single correct option

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JEE Main · 2022 · 28 Jun 2022 · Shift 2 · Atomic Structure

Solution

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