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In textSO_2, textNO_2^- and textN_3^- the hybridizations at the central atom are respectively:

Solution & Explanation

### Related Formula textSteric Number (Steric count) = textNumber of lone pairs on central atom + textNumber of sigmatext-bonds ### Core Logic Let's perform steric calculations for each species: - textSO_2: Central sulfur atom has 6 valence electrons, forms 2\,sigma-bonds (and 2\,pi-bonds) with oxygen, leaving 1 lone pair. Steric number = 2 + 1 = 3 implies sp^2. - textNO_2^-: Central nitrogen atom has 5 valence electrons + 1 from negative charge = 6. It forms 2\,sigma-bonds, leaving 1 lone pair. Steric number = 2 + 1 = 3 implies sp^2. - textN_3^- (Azide ion): Linear configuration structure can be drawn as: overlinetextN=overset+textN=overlinetextN The central nitrogen has 2\,sigma-bonds and 0 lone pairs. Steric number = 2 + 0 = 2 implies sp. ### Step 1: Geometry Outlines The individual orbital fields are represented visually:
Hybridization diagram for Q39 - JEE Main 2025 Evening
Hybridization diagram for Q39 - JEE Main 2025 Evening
Hence, hybridizations follow the order: sp^2, sp^2, and sp. ### Pattern Recognition Steric short tracking: Species with linear structures like textCO_2, textN_2O, textN_3^- possess central atoms that are always sp hybridized due to the requirement of two opposing sigma-bonds. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 11 Chemistry: Chemical Bonding and Molecular Structure

More Chemical Bonding and Molecular Structure Previous-Year Questions — Page 3

Q32 2025 Resonance and Bond Parameters
Given below are two statements: Statement (I) : Experimentally determined oxygen-oxygen bond lengths in the mathrmO_3 are found to be same and the bond length is greater than that of a mathrmO=O (double bond) but less than that of a single (mathrmO-O) bond. Statement (II) : The strong lone pair-lone pair repulsion between oxygen atoms is solely responsible for the fact that the bond length in ozone is smaller than that of a double bond (mathrmO=O) but more than that of a single bond (mathrmO-O). In the light of the above statements, choose the correct answer from the options given below:
  • A. \text{Statement I is true but Statement II is false}
  • B. \text{Both Statement I and Statement II are true}
  • C. \text{Both Statement I and Statement II are false}
  • D. \text{Statement I is false but Statement II is true}

Solution

### Core Logic Analysis of Statement I: Ozone (mathrmO_3) exhibits resonance. The two major canonical forms contribute equally to the resonance hybrid, meaning both oxygen-oxygen bonds are identical. Their bond order is 1.5, making the bond length intermediate between a true single bond and a true double bond. Thus, Statement I is completely true. Analysis of Statement II: Statement II claims that lone pair-lone pair repulsion is solely responsible for this intermediate bond length. This is incorrect. The intermediate bond parameter is fundamentally a direct consequence of resonance delocalization, not lone-pair repulsions. Thus, Statement II is false. ### Pattern Recognition Whenever a molecule has identical intermediate bond lengths instead of distinct single and double bonds, resonance delocalization is almost always the core underlying reason. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 11 Chemistry: Chemical Bonding and Molecular Structure
Q30 2025 Molecular Orbital Theory
Which of the following linear combination of atomic orbitals will lead to formation of molecular orbitals in homonuclear diatomic molecules [internuclear axis in z-direction]? A. 2p_z and 2p_x B. 2s and 2p_x C. 3d_xy and 3d_x^2-y^2 D. 2s and 2p_z E. 2p_z and 3d_x^2-y^2 Choose the correct answer from the options given below:
  • A. E Only
  • B. A and B Only
  • C. D Only
  • D. C and D Only

Solution

### Core Logic For atomic orbitals to successfully combine into molecular orbitals, they must share appropriate spatial symmetry relative to the internuclear axis (z-axis). - Combination A, B, C, and E involve orbitals with mismatching symmetry planes, resulting in a net zero overlap integral. - Combination D (2s and 2p_z) preserves continuous spatial alignment along the z-axis, allowing effective frontal overlap to synthesize a stable sigma molecular orbital. Visual symmetry breakdowns: -
Molecular Orbital Theory diagram 1 for Q30
Molecular Orbital Theory diagram 1 for Q30
(Symmetry mismatch for A) -
Molecular Orbital Theory diagram 1 for Q30
Molecular Orbital Theory diagram 1 for Q30
(Symmetry mismatch for C) -
Molecular Orbital Theory diagram 1 for Q30
Molecular Orbital Theory diagram 1 for Q30
(Valid overlapping leading to Sigma molecular orbital for D) -
Molecular Orbital Theory diagram 1 for Q30
Molecular Orbital Theory diagram 1 for Q30
(Symmetry mismatch for E) ### Pattern Recognition Verify orbital symmetry signs across the designated internuclear reference line. Mismatched symmetries cancel out completely (I_textoverlap = 0). ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 11 Chemistry: Chemical Bonding and Molecular Structure
Q43 2025 Hybridization and Molecular Geometry
Which of the following statement is true with respect to mathrmH_2mathrmO, mathrmNH_3 and mathrmCH_4 ? A. The central atoms of all the molecules are mathfraksp^3 hybridized. B. The H-O-H, H-N-H and H-C-H angles in the above molecules are 104.5^circ , 107.5^circ and 109.5^circ respectively. C. The increasing order of dipole moment is mathrmCH_4 < mathrmNH_3 < mathrmH_2mathrmO . D. Both mathrmH_2mathrmO and mathrmNH_3 are Lewis acids and mathrmCH_4 is a Lewis base E. A solution of mathrmNH_3 in mathrmH_2mathrmO is basic. In this solution mathrmNH_3 and mathrmH_2mathrmO act as Lowry-Bronsted acid and base respectively. Choose the correct answer from the options given below:
  • A. A, B and C only
  • B. C, D and E only
  • C. A, D and E only
  • D. A, B, C and E only

Solution

### Core Logic Analyzing each statement individually: - **Statement A is true**: The central atoms (O, N, C) all possess an electron steric number equal to 4, indicating mathfraksp^3 hybridization state pathways. - **Statement B is true**: Due to valence shell electron pair repulsions, the bond angles decrease from the ideal tetrahedral angle (109.5^circ in CH_4,
Water molecule structural bond configuration shape representation
Water molecule structural bond configuration shape representation
) as lone pairs are added (107.5^circ in NH_3 with 1 lone pair,
Water molecule structural bond configuration shape representation
Water molecule structural bond configuration shape representation
; 104.5^circ in H_2O with 2 lone pairs,
Water molecule structural bond configuration shape representation
Water molecule structural bond configuration shape representation
). - **Statement C is true**: The dipole moment increases alongside central atom electronegativity and asymmetric lone pair configurations, following the sequence mathrmCH_4 (0text D) < mathrmNH_3 (1.47text D) < mathrmH_2mathrmO (1.85text D). ### Pattern Recognition Lone pairs repel bonding electron pairs more strongly than bonding pairs repel each other, systematically compressing adjacent bond angles. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 11 Chemistry: Chemical Bonding and Molecular Structure

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