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NEET CHEMISTRYEasy

Incorrect set of quantum numbers from the following is:

A

n=4, l=3, m_l = -3, -2, -1, 0, +1, +2, +3, m_s = -1/2

B

n=5, l=2, m_l = -2, -1, +1, +2, m_s = +1/2

C

n=4, l=2, m_l = -2, -1, 0, +1, +2, m_s = -1/2

D

n=5, l=3, m_l = -3, -2, -1, 0, +1, +2, +3, m_s = +1/2

Step-by-Step Solution

According to the rules for quantum numbers described in the NCERT text:

  1. Principal Quantum Number (nn): Can be any positive integer.
  2. Azimuthal Quantum Number (ll): Can have values from 00 to n1n-1.
  3. Magnetic Quantum Number (mlm_l): For a given value of ll, mlm_l can have (2l+1)(2l + 1) values ranging from l-l to +l+l, including zero.

Let's evaluate the options:

  • Option A: For n=4,l=3n=4, l=3 (f-subshell), permitted mlm_l values are 3,2,1,0,+1,+2,+3-3, -2, -1, 0, +1, +2, +3. This set is correct.
  • Option B: For n=5,l=2n=5, l=2 (d-subshell), permitted mlm_l values are 2,1,0,+1,+2-2, -1, 0, +1, +2. The option lists 2,1,+1,+2-2, -1, +1, +2 but is missing 0. Therefore, this set is incorrect.
  • Option C: For n=4,l=2n=4, l=2 (d-subshell), permitted mlm_l values are 2,1,0,+1,+2-2, -1, 0, +1, +2. This set is correct.
  • Option D: For n=5,l=3n=5, l=3 (f-subshell), permitted mlm_l values are 3,2,1,0,+1,+2,+3-3, -2, -1, 0, +1, +2, +3. This set is correct.

Thus, Option B is the incorrect set.

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