Incorrect set of quantum numbers from the following is

Incorrect set of quantum numbers from the following is
  1. $\mathrm{n}=4, \mathrm{l}=2, \mathrm{~m}_{\mathrm{l}}=-2,-1,0,+1,+2, \mathrm{~m}_{\mathrm{s}}=-1 / 2$
  2. $\mathrm{n}=5, \mathrm{l}=3, \mathrm{~m}_{\mathrm{l}}=-3,-2,-1,0,+1,+2,+3, \mathrm{~m}_{\mathrm{s}}=+1 / 2$
  3. $\mathrm{n}=4, \mathrm{l}=3, \mathrm{~m}_{\mathrm{l}}=-3,-2,-1,0,+1,+2,+3, \mathrm{~m}_{\mathrm{s}}=-1 / 2$
  4. $\mathrm{n}=5, \mathrm{l}=2, \mathrm{~m}_{\mathrm{l}}=-2,-1,+1,+2, \mathrm{~m}_{\mathrm{s}}=+1 / 2$

Solution

For any value of $\mathrm{I}, m_1$ value will be $-\mathrm{l}$ to $+\mathrm{I}$ So for $\mathrm{n}=5$ and $\mathrm{I}=2$ : $\mathrm{m}_{\mathrm{l}}=-2,-1,0,+1,+2$ and $\mathrm{m}_{\mathrm{s}}=+\frac{1}{2}$ or $-\frac{1}{2}$ Hence, the set $n=5, l=2, m_l=-2,-1,+1,+2, m_s=+\frac{1}{2}$ is incorrect

Asked in: NEET 2023 (Manipur)

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