LIST-II (Bond pair : lone pair on the central atom)
(A) mathrmICl_2^-$\mathrm{ICl}_2^-$
(I) 4 : 2$4 : 2$
(B) mathrmH_2mathrmO$\mathrm{H}_2\mathrm{O}$
(II) 4 : 1$4 : 1$
(C) mathrmSO_2$\mathrm{SO}_2$
(III) 2 : 3$2 : 3$
(D) mathrmXeF_4$\mathrm{XeF}_4$
(IV) 2 : 2$2 : 2$
Choose the correct answer from the options given below:
A.(A)-(IV), (B)-(III), (C)-(II), (D)-(I)
B.(A)-(III), (B)-(IV), (C)-(II), (D)-(I)
C.(A)-(III), (B)-(IV), (C)-(I), (D)-(II)
D.(A)-(II), (B)-(I), (C)-(IV), (D)-(III)
Solution & Explanation
### Core Logic
Let's find the number of bond pairs (sigma$\sigma$-bonds or regions) and lone pairs on the central atom of each species:
1. **mathrmICl_2^-$\mathrm{ICl}_2^-$**:
- Central atom Iodine has 7$7$ valence electrons + 1$+ 1$ negative charge = 8$= 8$ electrons.
- Forms 2$2$ single bonds (bond pairs = 2$= 2$).
- Remaining 6$6$ electrons form 3$3$ lone pairs.
- Ratio is 2 : 3$2 : 3$ (Matches LIST-II, III).
VSEPR linear shape of ICl2-
2. **mathrmH_2mathrmO$\mathrm{H}_2\mathrm{O}$**:
- Oxygen has 6$6$ valence electrons.
- Forms 2$2$ bond pairs with Hydrogens.
- Remaining 4$4$ electrons form 2$2$ lone pairs.
- Ratio is 2 : 2$2 : 2$ (Matches LIST-II, IV).
VSEPR linear shape of ICl2-
3. **mathrmSO_2$\mathrm{SO}_2$**:
- Sulfur has 6$6$ valence electrons.
- Forms 2$2$ double bonds (which are counted as 4$4$ bonding pairs of electrons/bond pairs in typical VSEPR representations here).
- Remaining 2$2$ electrons form 1$1$ lone pair.
- Ratio is 4 : 1$4 : 1$ (Matches LIST-II, II).
VSEPR linear shape of ICl2-
4. **mathrmXeF_4$\mathrm{XeF}_4$**:
- Xenon has 8$8$ valence electrons.
- Forms 4$4$ bond pairs with Fluorines.
- Remaining 4$4$ electrons form 2$2$ lone pairs.
- Ratio is 4 : 2$4 : 2$ (Matches LIST-II, I).
VSEPR linear shape of ICl2-
Thus, the correct mapping is: A-III, B-IV, C-II, D-I.
### Pattern Recognition
For match-the-column with VSEPR structures:
- Always find steric number: textSteric Number = frac12(V + M - C + A)$\text{Steric Number} = \frac{1}{2}(V + M - C + A)$.
- Water is 2$2$ bond pairs, 2$2$ lone pairs (sp^3$sp^3$) rightarrow$\rightarrow$ B-IV. This alone helps eliminate multiple incorrect options immediately.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
More Chemical Bonding and Molecular Structure Previous-Year Questions
Q64jee_main_2026_21_jan_morningVSEPR Theory
Given below are two statements:
Statement I: The number of species among mathrmSF_4$\mathrm{SF}_4$, mathrmNH_4^+$\mathrm{NH}_4^+$, [mathrmNiCl_4]^2-$[\mathrm{NiCl}_4]^{2-}$, mathrmXeF_4$\mathrm{XeF}_4$, [mathrmPtCl_4]^2-$[\mathrm{PtCl}_4]^{2-}$, mathrmSeF_4$\mathrm{SeF}_4$ and [mathrmNi(CN)_4]^2-$[\mathrm{Ni(CN)}_4]^{2-}$, that have tetrahedral geometry is 3.
Statement II: In the set [NO_2, BeH_2, BF_3, AlCl_3]$[NO_{2}, BeH_{2}, BF_{3}, AlCl_{3}]$, all the molecules have incomplete octet around central atom.
In the light of the above statements, choose the correct answer from the options given below:
A.textStatement I is true but Statement II is false$\text{Statement I is true but Statement II is false}$
B.textBoth Statement I and Statement II are false$\text{Both Statement I and Statement II are false}$
C.textStatement I is false but Statement II is true$\text{Statement I is false but Statement II is true}$
D.textBoth Statement I and Statement II are true$\text{Both Statement I and Statement II are true}$
Solution
### Core Logic
Evaluating Statement I:
- mathrmSF_4$\mathrm{SF}_4$: sp^3d$sp^3d$ (1 lone pair) rightarrow$\rightarrow$ See-saw
- mathrmXeF_4$\mathrm{XeF}_4$: sp^3d^2$sp^3d^2$ (2 lone pairs) rightarrow$\rightarrow$ Square planar
- [mathrmPtCl_4]^2-$[\mathrm{PtCl}_4]^{2-}$: dsp^2$dsp^2$rightarrow$\rightarrow$ Square planar
- [mathrmNiCl_4]^2-$[\mathrm{NiCl}_4]^{2-}$: sp^3$sp^3$rightarrow$\rightarrow$ Tetrahedral
- [mathrmNi(CN)_4]^2-$[\mathrm{Ni(CN)}_4]^{2-}$: dsp^2$dsp^2$rightarrow$\rightarrow$ Square planar
- mathrmSeF_4$\mathrm{SeF}_4$: sp^3d$sp^3d$ (1 lone pair) rightarrow$\rightarrow$ See-saw
- mathrmNH_4^+$\mathrm{NH}_4^+$: sp^3$sp^3$ (0 lone pairs) rightarrow$\rightarrow$ Tetrahedral
Total tetrahedral species = 2 ([mathrmNiCl_4]^2-$[\mathrm{NiCl}_4]^{2-}$ and mathrmNH_4^+$\mathrm{NH}_4^+$). Statement I says 3, so it is false.
Evaluating Statement II:
- NO_2$NO_2$: Central N has 7 valence electrons (odd-electron molecule, incomplete octet).
- BeH_2$BeH_2$: Central Be has 4 electrons (incomplete octet).
- BF_3$BF_3$: Central B has 6 electrons (incomplete octet).
- AlCl_3$AlCl_3$ (monomer): Central Al has 6 electrons (incomplete octet).
Therefore, all molecules have incomplete octets. Statement II is true.
### Step 1: Final Conclusion
Statement I is false, Statement II is true.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
Class 12 Chemistry: Coordination Compounds
Qjee_main_2025_02_april_eveningVSEPR Theory and Hybridization
Which among the following molecules is
(a) involved in mathrmsp^3d$\mathrm{sp^3d}$ hybridization,
(b) has different bond lengths and
(c) has lone pair of electrons on the central atom?
A.mathrmPF_5$\mathrm{PF}_5$
B.mathrmXeF_4$\mathrm{XeF}_4$
C.mathrmSF_4$\mathrm{SF}_4$
D.mathrmXeF_2$\mathrm{XeF}_2$
Solution
### Related Formula
textSteric Number = frac12 left( V + M - C + A right)$$\text{Steric Number} = \frac{1}{2} \left( V + M - C + A \right)$$
where,
V$V$ = valence electrons of central atom
M$M$ = number of monovalent surrounding atoms
C$C$ = cationic charge, A$A$ = anionic charge
### Core Logic
Let's calculate the hybridization, shape, and lone pairs for each option:
1. mathrmPF_5$\mathrm{PF}_5$:VSEPR Theory and Hybridization
- Central atom: Phosphorus (V=5$V=5$).
- Steric Number = frac12(5 + 5) = 5 implies mathrmsp^3d$= \frac{1}{2}(5 + 5) = 5 \implies \mathrm{sp^3d}$ hybridization.
- Lone pairs = 5 - 5 = 0$= 5 - 5 = 0$.
- Geometry: Trigonal bipyramidal. It has different axial and equatorial bond lengths, but no lone pair on the central atom.
2. mathrmXeF_4$\mathrm{XeF}_4$:
- Central atom: Xenon (V=8$V=8$).
- Steric Number = frac12(8 + 4) = 6 implies mathrmsp^3d^2$= \frac{1}{2}(8 + 4) = 6 \implies \mathrm{sp^3d^2}$ hybridization (fails condition a).
3. mathrmSF_4$\mathrm{SF}_4$:VSEPR Theory and Hybridization
- Central atom: Sulfur (V=6$V=6$).
- Steric Number = frac12(6 + 4) = 5 implies mathrmsp^3d$= \frac{1}{2}(6 + 4) = 5 \implies \mathrm{sp^3d}$ hybridization.
- Lone pairs = 5 - 4 = 1$= 5 - 4 = 1$ lone pair on sulfur.
- Shape: See-saw. It contains axial and equatorial bonds which have distinct lengths (1.64~mathrmmathringA$1.64~\mathrm{\mathring{A}}$ vs 1.54~mathrmmathringA$1.54~\mathrm{\mathring{A}}$ due to lone pair-bond pair repulsion). This satisfies all three conditions.
4. mathrmXeF_2$\mathrm{XeF}_2$:
- Central atom: Xenon (V=8$V=8$).
- Steric Number = frac12(8 + 2) = 5 implies mathrmsp^3d$= \frac{1}{2}(8 + 2) = 5 \implies \mathrm{sp^3d}$ hybridization.
- Lone pairs = 5 - 2 = 3$= 5 - 2 = 3$ lone pairs on Xe.
- Shape: Linear. Both Xe-F bonds are identical in length (fails condition b).
VSEPR Theory and Hybridization
### Step 1: Conclusion
Hence, only mathrmSF_4$\mathrm{SF}_4$ satisfies all the given parameters.
### Pattern Recognition
For any trigonal bipyramidal molecular geometry (steric number 5), the axial bonds suffer more repulsion (from 3 equatorial bonds at 90^circ$90^\circ$) than the equatorial bonds (which have only 2 axial neighbors at 90^circ$90^\circ$). Consequently, the axial bonds are always longer and weaker than equatorial bonds.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
A molecule with the formula mathrmAX_4mathrmY$\mathrm{AX}_4\mathrm{Y}$ has all its elements from p-block. Element A is rarest, monoatomic, non-radioactive from its group and has the lowest ionization enthalpy value among A, X and Y. Elements X and Y have first and second highest electronegativity values respectively among all the known elements. The shape of the molecule is :
### Related Formula
Total valence shell electron pair system equation:
textValence Pairs = textBond Pairs (BP) + textLone Pairs (LP)$$\text{Valence Pairs} = \text{Bond Pairs (BP)} + \text{Lone Pairs (LP)}$$
### Core Logic
Let's decode individual identities based on the descriptive properties:
* The elements with the first and second highest electronegativity values across the entire periodic table are Fluorine (mathrmF$\mathrm{F}$) and Oxygen (mathrmO$\mathrm{O}$), matching labels mathrmX$\mathrm{X}$ and mathrmY$\mathrm{Y}$.
* Element mathrmA$\mathrm{A}$ is a rare, monoatomic, non-radioactive p-block element with low ionization energy, identifying it as Xenon (mathrmXe$\mathrm{Xe}$).
* Substituting these components into the target layout formula yields mathrmXeOF_4$\mathrm{XeOF_4}$:
- Xenon brings 8 valence electrons. It forms 4 single bonds with F and 1 double bond with O, consuming 6 electrons and leaving 1 lone pair on the central atom.
- Steric Number = 5 text bond regions + 1 text lone pair = 6$= 5 \text{ bond regions} + 1 \text{ lone pair} = 6$ (Octahedral electronic arrangement).
### Step 1: Geometry Determination
Placing the double-bonded oxygen and lone pair along vertical spatial axes yields a stable square pyramidal molecular shape layout:
XeOF4 square pyramidal spatial geometry diagram for Q45
### Pattern Recognition
In mathrmsp^3d^2$\mathrm{sp^3d^2}$ architectures containing an explicit lone pair along with an asymmetric double bond (like mathrmXeOF_4$\mathrm{XeOF_4}$), the lone pair always sits directly opposite the double bond to minimize electron repulsion, leaving a clean square pyramidal shape.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
Class 12 Chemistry: The p-Block Elements
Q35jee_main_2025_02_april_morningVSEPR and Dipole Moments
Among mathrmSO_2$\mathrm{SO}_2$, mathrmNF_3$\mathrm{NF}_3$, mathrmNH_3$\mathrm{NH}_3$, mathrmXeF_2$\mathrm{XeF}_2$, mathrmClF_3$\mathrm{ClF}_3$ and mathrmSF_4$\mathrm{SF}_4$, the hybridization of the molecule with non-zero dipole moment and highest number of lone-pairs of electrons on the central atom is
### Related Formula
Steric Number system equation for identifying electronic configurations:
textSteric Number (SN) = frac12[mathrmV + mathrmM - mathrmC + mathrmA]$$\text{Steric Number (SN)} = \frac{1}{2}[\mathrm{V} + \mathrm{M} - \mathrm{C} + \mathrm{A}]$$
### Core Logic
Let's list parameters using a detailed structural grid:
Molecule
Hybridisation
Dipole Moment
Lone pair on the central atom
mathrmSO_2$\mathrm{SO}_2$
mathrmsp^2$\mathrm{sp}^2$
Non-zero
1
mathrmNF_3$\mathrm{NF}_3$
mathrmsp^3$\mathrm{sp}^3$
Non-zero
1
mathrmNH_3$\mathrm{NH}_3$
mathrmsp^3$\mathrm{sp}^3$
Non-zero
1
mathrmXeF_2$\mathrm{XeF}_2$
mathrmsp^3mathrmd$\mathrm{sp}^3\mathrm{d}$
Zero
3
mathrmClF_3$\mathrm{ClF}_3$
mathrmsp^3mathrmd$\mathrm{sp}^3\mathrm{d}$
Non-zero
2
mathrmSF_4$\mathrm{SF}_4$
mathrmsp^3mathrmd$\mathrm{sp}^3\mathrm{d}$
Non-zero
1
Comparing items: mathrmXeF_2$\mathrm{XeF}_2$ has 3 lone pairs but its linear architecture enforces mu = 0$\mu = 0$. Therefore, mathrmClF_3$\mathrm{ClF}_3$ has the highest count of lone pairs (2) with a net non-zero asymmetric dipole configuration.
### Step 1: Selection
The hybridization of mathrmClF_3$\mathrm{ClF}_3$ is mathrmsp^3mathrmd$\mathrm{sp}^3\mathrm{d}$.
### Pattern Recognition
Watch out for symmetry traps! mathrmXeF_2$\mathrm{XeF}_2$ contains the absolute maximum lone pairs, but its symmetric planar positioning perfectly cancels out the dipole vectors. Thus, the correct candidate slips down to mathrmClF_3$\mathrm{ClF}_3$.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
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