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
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### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
More Chemical Bonding and Molecular Structure Previous-Year Questions — Page 4
Q74jee_main_2024_01_february_morningIonic Character
Arrange the bonds in order of increasing ionic character in the molecules. LiF$LiF$, K_2O$K_2O$, N_2$N_2$, SO_2$SO_2$ and ClF_3$ClF_3$.
### Core Logic
The ionic character of a bond is directly proportional to the electronegativity difference (Delta EN$\Delta EN$) between the two bonded atoms.
Larger Delta EN implies$\Delta EN \implies$ higher ionic character.
### Step 1: Assess Electronegativity Differences
- N_2$N_2$: Both atoms are Nitrogen. Delta EN = 0$\Delta EN = 0$. Purely covalent. (Lowest ionic character)
- SO_2$SO_2$: Bond between S and O. Moderate Delta EN$\Delta EN$. Covalent with some polarity.
- ClF_3$ClF_3$: Bond between Cl and F. Delta EN$\Delta EN$ is higher than S-O as F is the most electronegative element.
- K_2O$K_2O$: Bond between K (alkali metal, very low EN) and O. Very high Delta EN$\Delta EN$. Ionic.
- LiF$LiF$: Bond between Li (alkali metal) and F (highest EN). Maximum Delta EN$\Delta EN$ possible among these options. Most ionic.
### Step 2: Order Derivation
Increasing order of ionic character (or Delta EN$\Delta EN$):
N_2 < SO_2 < ClF_3 < K_2O < LiF$N_2 < SO_2 < ClF_3 < K_2O < LiF$
### Pattern Recognition
Homodiatomic (N_2$N_2$) is always 0% ionic. Alkali metal + Halogen (LiF$LiF$) represents the extreme of the ionic spectrum. Sorting non-metals by group distance yields the middle ranks.
### Evaluation Rubric / Model Answer
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### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
Q85jee_main_2024_01_february_morningVSEPR Theory
The number of molecules/ion/s having trigonal bipyramidal shape is ....
PF_5$PF_5$, BrF_5$BrF_5$, PCl_5$PCl_5$, [PtCl_4]^2-$[PtCl_4]^{2-}$, BF_3$BF_3$, Fe(CO)_5$Fe(CO)_5$
Numerical Answer.Answer: 3 to 3
Solution
### Core Logic
Using VSEPR theory to find the hybridization and shape:
1. PF_5$PF_5$: P has 5 valence electrons, forms 5 single bonds with F. Steric number = 5 (sp3d). 0 lone pairs. Shape = Trigonal bipyramidal.
2. BrF_5$BrF_5$: Br has 7 valence electrons, forms 5 single bonds, 1 lone pair. Steric number = 6 (sp3d2). Shape = Square pyramidal.
3. PCl_5$PCl_5$: P has 5 valence electrons, 5 bonds, 0 lone pairs. Steric number = 5 (sp3d). Shape = Trigonal bipyramidal.
4. [PtCl_4]^2-$[PtCl_4]^{2-}$: Pt^2+$Pt^{2+}$ is a d^8$d^8$ system. With Cl^-$Cl^-$ (but 4d/5d transition metals always form low spin square planar complexes), it's dsp^2$dsp^2$ hybridized. Shape = Square planar.
5. BF_3$BF_3$: B has 3 valence electrons, 3 bonds, 0 lone pairs. Steric number = 3 (sp2). Shape = Trigonal planar.
6. Fe(CO)_5$Fe(CO)_5$: Fe (d6s2 -> d8 under strong field CO$CO$). Carbonyls strongly prefer 5-coordinate trigonal bipyramidal geometry for d^8$d^8$ (dsp^3$dsp^3$ hybridization). Shape = Trigonal bipyramidal.
### Step 1: Count Trigonal Bipyramidal Molecules
Molecules with trigonal bipyramidal shape:
- PF_5$PF_5$
- PCl_5$PCl_5$
- Fe(CO)_5$Fe(CO)_5$
Total count = 3.
### Pattern Recognition
Steric Number = 5 with 0 lone pairs ALWAYS yields Trigonal Bipyramidal geometry. Watch out for BrF_5$BrF_5$ which has 5 bonds but 1 lone pair (SN = 6, Square Pyramidal).
### Evaluation Rubric / Model Answer
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### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
Class 12 Chemistry: Coordination Compounds
Q81jee_main_2024_29_january_eveningMolecular Orbital Theory
The total number of anti bonding molecular orbitals, formed from 2s and 2p atomic orbitals in a diatomic molecule is ________.
Numerical Answer.Answer: 4 to 4
Solution
### Related Formula
textTotal Atomic Orbitals Combinations = textBonding MOs + textAntibonding MOs$$\text{Total Atomic Orbitals Combinations} = \text{Bonding MOs} + \text{Antibonding MOs}$$
### Core Logic
When atomic orbitals combine, they form an equal number of molecular orbitals:
* Two 2s$2s$ atomic orbitals combine to form **1** bonding orbital (sigma_2s$\sigma_{2s}$) and **1** antibonding orbital (sigma^*_2s$\sigma^*_{2s}$).
* Six 2p$2p$ atomic orbitals combine to form **3** bonding orbitals (sigma_2p_z, pi_2p_x, pi_2p_y$\sigma_{2p_z}, \pi_{2p_x}, \pi_{2p_y}$) and **3** antibonding orbitals (sigma^*_2p_z, pi^*_2p_x, pi^*_2p_y$\sigma^*_{2p_z}, \pi^*_{2p_x}, \pi^*_{2p_y}$).
### Step 1: Total Summation
Summing the antibonding orbitals from both subshells:
textTotal Antibonding Molecular Orbitals = 1 text (from 2s) + 3 text (from 2p) = 4$$\text{Total Antibonding Molecular Orbitals} = 1 \text{ (from 2s)} + 3 \text{ (from 2p)} = 4$$
### Pattern Recognition
The linear combination of N$N$ atomic orbitals always yields exactly fracN,
2$\frac{N},
{2}$antibonding molecular orbitals.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
Q90jee_main_2024_29_january_eveningDipole Moment
The total number of molecules with zero dipole moment among mathrmCH_4$\mathrm{CH}_4$, mathrmBF_3$\mathrm{BF}_3$, mathrmH_2mathrmO$\mathrm{H}_2mathrm{O}$, HF, mathrmNH_3$\mathrm{NH}_3$, mathrmCO_2$\mathrm{CO}_2$ and mathrmSO_2$\mathrm{SO}_2$ is ________.
Numerical Answer.Answer: 3 to 3
Solution
### Related Formula
vecmu_textnet = sum vecmu_i = 0 quad text(For perfectly symmetrical geometry configurations)$$\vec{\mu}_{\text{net}} = \sum \vec{\mu}_i = 0 \quad \text{(For perfectly symmetrical geometry configurations)}$$
### Core Logic
Analyze the molecular geometry and symmetry of each molecule:
1. textCH_4$\text{CH}_4$: Symmetrical tetrahedral geometry implies mu = 0$\implies \mu = 0$.
2. textBF_3$\text{BF}_3$: Symmetrical trigonal planar geometry implies mu = 0$\implies \mu = 0$.
3. textH_2textO$\text{H}_2\text{O}$: Bent shape due to lone pairs implies mu neq 0$\implies \mu \neq 0$.
4. textHF$\text{HF}$: Linear asymmetric diatomic molecule implies mu neq 0$\implies \mu \neq 0$.
5. textNH_3$\text{NH}_3$: Trigonal pyramidal shape due to a lone pair implies mu neq 0$\implies \mu \neq 0$.
6. textCO_2$\text{CO}_2$: Symmetrical linear structure (O=C=O$O=C=O$) where dipoles cancel out implies mu = 0$\implies \mu = 0$.
7. textSO_2$\text{SO}_2$: Bent angular geometry due to a lone pair implies mu neq 0$\implies \mu \neq 0$.
### Step 1: Final Counting
The molecules with a net zero dipole moment are textCH_4$\text{CH}_4$, textBF_3$\text{BF}_3$, and textCO_2$\text{CO}_2$. This gives a total count of **3**.
### Pattern Recognition
Molecules with a symmetrical arrangement of identical bonds and no lone pairs on the central atom (e.g., tetrahedral textCH_4$\text{CH}_4$, trigonal planar textBF_3$\text{BF}_3$, linear textCO_2$\text{CO}_2$) always have a net dipole moment of zero.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure
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