JEE Main · 2023 · Shift-IIeasyATOM-005

Which one of the following sets of ions represents a collection of isoelectronic species? (Atomic numbers: F = 9, Cl =…

Structure of Atom · Class 11 · JEE Main Previous Year Question

Question

Which one of the following sets of ions represents a collection of isoelectronic species?

(Atomic numbers: F = 9, Cl = 17, Na = 11, Mg = 12, Al = 13, K = 19, Ca = 20, Sc = 21)

Options
  1. a

    Li+,Na+,Mg2+,Ca2+\mathrm{Li^+, Na^+, Mg^{2+}, Ca^{2+}}

  2. b

    Ba2+,Sr2+,K+,Ca2+\mathrm{Ba^{2+}, Sr^{2+}, K^+, Ca^{2+}}

  3. c

    N3,O2,F,S2\mathrm{N^{3-}, O^{2-}, F^-, S^{2-}}

  4. d

    K+,Cl,Ca2+,Sc3+\mathrm{K^+, Cl^-, Ca^{2+}, Sc^{3+}}

Correct Answerd

K+,Cl,Ca2+,Sc3+\mathrm{K^+, Cl^-, Ca^{2+}, Sc^{3+}}

Detailed Solution

🧠 The Periodic Table Scan The question gives you atomic numbers as clues. We are looking for a set of species where the sum of (Atomic Number - Charge) is constant for all.

🗺️ Testing the Suspects Let's check Option (d):

  • \ceK+\ce{K^+}: 191=18 e19 - 1 = 18 \text{ e}^-
  • \ceCl\ce{Cl^-}: 17(1)=18 e17 - (-1) = 18 \text{ e}^-
  • \ceCa2+\ce{Ca^2+}: 202=18 e20 - 2 = 18 \text{ e}^-
  • \ceSc3+\ce{Sc^3+}: 213=18 e21 - 3 = 18 \text{ e}^- Since all possess 18 electrons (making them isoelectronic with Argon), this is our winner.

The Group Mismatch Filter Look at Option (a): \ceLi+,Na+,Mg2+,Ca2+\ce{Li^+, Na^+, Mg^2+, Ca^2+}. These are all cations, but they belong to different shells. \ceLi+\ce{Li^+} has 2 electrons, while \ceNa+\ce{Na^+} has 10. They can't possibly be isoelectronic. You can eliminate options like this in seconds by noticing "shell jumping."

⚠️ Common Traps Watch out for Option (c): \ceN3,O2,F\ce{N^3-, O^2-, F^-} (10 e10 \text{ e}^-) and \ceS2\ce{S^2-} (18 e18 \text{ e}^-). One heavy ion like \ceS2\ce{S^2-} ruins the entire set. Always check every member, not just the first three!

Answer: (d)\boxed{\text{Answer: (d)}}

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