JEE Main · 2025 · Shift-IImediumATOM-224

Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom? (A) 1s < 2p < 3d…

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

Question

Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom?

(A) 1s<2p<3d<4s1s < 2p < 3d < 4s (B) 1s<2s=2p<3s=3p1s < 2s = 2p < 3s = 3p (C) 1s<2s<2p<3s<3p1s < 2s < 2p < 3s < 3p (D) 1s<2s<4s<3d1s < 2s < 4s < 3d

(a) (B) and (D) only (b) (A) and (C) only (c) (C) and (D) only (d) (A) and (B) only

Options
  1. a

    (B) and (D) only

  2. b

    (A) and (C) only

  3. c

    (C) and (D) only

  4. d

    (A) and (B) only

Correct Answerc

(C) and (D) only

Detailed Solution

🧠 The "n-Only" Universe Hydrogen is a unique case in the periodic table because it has only one electron. Without other electrons to cause shielding or internal repulsion, the energies of subshells (s,p,ds, p, d) do not "split." For Hydrogen, the energy depends only on the principal quantum number nn.

🗺️ The Audit for H-Atom

  • (A) 1s<2p<3d<4s1s < 2p < 3d < 4s: Correct. Energy follows n=1<2<3<4n=1 < 2 < 3 < 4.
  • (B) 1s<2s=2p<3s=3p1s < 2s=2p < 3s=3p: Correct. In Hydrogen, 2s2s and 2p2p are degenerate (same energy).
  • (C) 1s<2s<2p1s < 2s < 2p \dots: INCORRECT. This implies 2p2p is higher than 2s2s, which is only true for multi-electron atoms.
  • (D) 1s<2s<4s<3d1s < 2s < 4s < 3d: INCORRECT. This says 4s4s is lower than 3d3d. In Hydrogen, energy follows nn strictly: n=3n=3 (3d3d) must be lower than n=4n=4 (4s4s).

The "Ignore l" Rule When you see Hydrogen atom, look exclusively at nn. 2s=2p2s = 2p. 3s=3p=3d3s = 3p = 3d. If nn values are equal, energy is equal. If n1<n2n_1 < n_2, then E1<E2E_1 < E_2. Any statement breaking this nn-strict order is false.

⚠️ Aufbau Trap The "standard" 4s<3d4s < 3d order (Aufbau) only applies to atoms with MANY electrons where shielding effects are present. Do not use it for a solitary Hydrogen atom!

Answer: (c)\boxed{\text{Answer: (c)}}

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Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen… (JEE Main 2025) | Canvas Classes