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NEET CHEMISTRYMedium

Consider the following sets of quantum numbers (n, l, m, s): (i) 3, 0, 0, +1/2 (ii) 2, 2, 1, +1/2 (iii) 4, 3, -2, -1/2 (iv) 1, 0, -1, -1/2 (v) 3, 2, 3, +1/2

Which of the following sets of quantum numbers is not possible?

A

ii, iii and iv

B

i, ii, iii and iv

C

ii, iv and v

D

i and iii

Step-by-Step Solution

We apply the selection rules for quantum numbers to determine validity:

  1. Principal Quantum Number (n): Integer > 0.
  2. Azimuthal Quantum Number (l): Integer where 0l<n0 \le l < n.
  3. Magnetic Quantum Number (m): Integer where lm+l-l \le m \le +l.

Evaluation of Sets:

  • (i) 3, 0, 0, +1/2: Valid (l=0<3l=0 < 3, m=0m=0). Corresponds to 3s.
  • (ii) 2, 2, 1, +1/2: Invalid. ll cannot equal nn (max ll for n=2n=2 is 1).
  • (iii) 4, 3, -2, -1/2: Valid (l=3<4l=3 < 4, 23|-2| \le 3). Corresponds to 4f.
  • (iv) 1, 0, -1, -1/2: Invalid. If l=0l=0, mm must be 0. m=1m=-1 is not allowed.
  • (v) 3, 2, 3, +1/2: Invalid. If l=2l=2, max mm is +2. m=3m=3 is not allowed.

Therefore, sets ii, iv, and v are not possible.

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