Chemistry 75 Solved Past Papers 2010 to 2024 Archives

Chemical Bonding Past Papers

Solved past paper MCQs for Chemical Bonding from official UHS, NUMS, SZABMU, DUHS, and KMU examinations. Includes verified distractor autopsies and step-by-step cognitive explanations.

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Official printable A4 booklet containing all 75 verified past paper MCQs with unbroken options, 5-column rapid answer key, and Propolis cognitive error autopsies.

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#1 of 75 SZABMU 2024
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Diamagnetic behavior of Fluorine molecule is due to presence of ____
A
Paired electrons in d orbitals
B
Paired electrons in p orbitals
C
Unpaired electrons in d orbitals
D
Unpaired electrons in p orbitals
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Diamagnetism occurs when all electrons in a molecule's molecular orbitals are perfectly spin-paired, leaving no net magnetic field.

Formula:

$$ \text{F}_2 \text{ Molecular Orbital Configuration contains ONLY paired electrons.} $$

Solution:

  • A fluorine atom (Group 7) has its valence electrons strictly in s and p orbitals (\( 2s^2 \ 2p^5 \)). It has no access to d-orbitals.


  • When two F atoms bond to form \( \text{F}_2 \), their p-orbitals overlap to form molecular orbitals.


  • All 14 valence electrons perfectly fill the bonding and antibonding molecular orbitals in pairs.


  • Because all electrons residing in the p-derived molecular orbitals are paired, the molecule is repelled by magnetic fields (diamagnetic).


Why other options are incorrect:

  • Option A & Option C: Fluorine (Period 2) does not have d-orbitals.
  • Option D: Unpaired electrons would make the molecule paramagnetic (like \( \text{O}_2 \)), not diamagnetic.
#2 of 75 SZABMU 2024
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Which of the following compound shows shortest C-H bond length?
A
Methane
B
Acetylene
C
Ethylene
D
Ethane
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

The length of a C-H bond decreases as the s-character of the carbon's hybrid orbital increases, because s-orbitals are spherical and held closer to the nucleus.

Formula:

$$ \text{Bond Length} \propto \frac{1}{\text{\% s-character}} $$

Solution:

  • In ethane and methane (\( \text{sp}^3 \)), the s-character is 25%.


  • In ethylene (\( \text{sp}^2 \)), the s-character is 33.3%.


  • In acetylene (\( \text{HC}\equiv\text{CH} \), which is \( \text{sp} \) hybridized), the s-character is 50%.


  • Because an \( \text{sp} \) orbital holds electrons closest to the nucleus, the resulting C-H bond in acetylene is the shortest and tightest among the options.


Why other options are incorrect:

  • Option A, Option C, Option D: These have lower s-character (\( \text{sp}^2 \) and \( \text{sp}^3 \)), resulting in more elongated, p-character dominant hybrid orbitals, leading to longer C-H bonds.
#3 of 75 SZABMU 2024
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Which one has lowest bond energy?
A
HF
B
HI
C
HBr
D
HCl
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Bond energy decreases as the size of the bonding atoms increases, because a longer bond distance results in weaker electrostatic attraction between the nuclei and the shared electrons.

Formula:

$$ \text{Bond Energy Trend: HF} > \text{HCl} > \text{HBr} > \text{HI} $$

Solution:

  • Iodine is the largest halogen in the given options, located at the bottom of Group 7.


  • When Iodine bonds with Hydrogen, the resulting H-I bond is very long.


  • Because the shared electron pair is so far from the Iodine nucleus (and shielded by many inner electron shells), the bond is extremely weak.


  • Therefore, HI requires the least amount of energy to break (lowest bond energy).


Why other options are incorrect:

  • Option A, Option C, Option D: Fluorine, Chlorine, and Bromine are smaller atoms, forming shorter and progressively stronger bonds.
#4 of 75 DUHS 2024
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The shape of an ammonia molecule is:
A
Trigonal Pyramidal
B
Tetrahedral
C
Linear
D
Planar
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

Ammonia (\( \text{NH}_3 \)) has 4 electron pairs around the central nitrogen atom: 3 bonding pairs and 1 lone pair.

Solution:

  • The electron domain geometry is tetrahedral (4 electron domains).
  • However, the molecular shape (visible geometry of atoms) is Trigonal Pyramidal (or Pyramidal).
  • The lone pair repels the bonding pairs, reducing the bond angle from \( 109.5^\circ \) to \( 107^\circ \).


Why other options are incorrect:

  • Tetrahedral: Describes electron pair geometry, not molecular shape.
  • Angular: Describes 2 bonding pair + 2 lone pair molecules like \( \text{H}_2\text{O} \).
  • Linear & Planar: Incorrect geometries for 4-domain systems with 1 lone pair.
#5 of 75 DUHS 2024
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The paramagnetic behavior of molecules such as oxygen molecules cannot be explained by:
A
Molecular orbital theory
B
Hybridization
C
Valence bond theory
D
Valence shell electron pair repulsion theory
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

Liquid oxygen is attracted to a magnet (paramagnetism) because it possesses unpaired electrons. Classical Valence Bond Theory (VBT) completely fails to predict this.

Formula:

$$ \text{VBT predicts: } \text{O}=\text{O} \text{ (All electrons paired = Diamagnetic - INCORRECT)} $$

Solution:

  • According to Valence Bond Theory and simple Lewis structures, the two Oxygen atoms share two pairs of electrons to form a double bond, meaning all electrons are paired. This falsely predicts oxygen should be diamagnetic.


  • Molecular Orbital Theory (MOT) correctly maps the electrons into bonding and antibonding orbitals, revealing two unpaired electrons in the degenerate \( \pi^* \) antibonding orbitals, perfectly explaining the paramagnetism.


  • Therefore, VBT is the classic textbook theory that fails this test. (Note: While the provided answer key listed B, VBT is the universally accepted and tested scientific limitation).


Why other options are incorrect:

  • Option A: MOT is specifically the theory that successfully explains it.
  • Option B & Option D: While these also don't explain magnetism, VBT is the direct theoretical framework regarding bond pairing that famously fails the Oxygen test.
#6 of 75 DUHS 2024
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The structure of primary amines is:
A
Trigonal
B
Tetrahedral pyramidal
C
Planar
D
Linear
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Primary amines (\( \text{R-NH}_2 \)) share the same core structural geometry as ammonia (\( \text{NH}_3 \)), driven by \( \text{sp}^3 \) hybridization with one lone pair.

Formula:

$$ \text{Type} = \text{AB}_3\text{E} $$

Solution:

  • In a primary amine, the central Nitrogen atom bonds to two Hydrogens and one Carbon group.


  • It retains 1 lone pair of electrons.


  • The four total domains adopt a tetrahedral electron geometry, but because one is a lone pair, the atoms form a pyramid shape.


  • This is often termed trigonal pyramidal (or loosely "tetrahedral pyramidal" to denote its tetrahedral domain origin).


Why other options are incorrect:

  • Option A, Option C, Option D: These geometries ignore the physical space required by the nitrogen's lone pair, which forces the bonds out of a flat plane.
#7 of 75 DUHS 2024
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This shape is found in \( \text{AX}_2 \) when the bond angle is 180°:
A
Linear
B
Bent
C
Triangle
D
Tetrahedral
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

According to VSEPR theory, a central atom bonded to exactly two domains with zero lone pairs will repel those domains to the maximum possible geometric distance.

Formula:

$$ \text{Maximum angle for 2 domains} = \frac{360^{\circ}}{2} = 180^{\circ} $$

Solution:

  • If molecule type is \( \text{AX}_2 \) (or \( \text{AB}_2 \)) and has a bond angle of exactly 180°, the atoms are arranged in a straight line.


  • This geometry is formally called Linear (e.g., \( \text{BeCl}_2 \), \( \text{CO}_2 \)).


Why other options are incorrect:

  • Option B: Bent shapes occur when lone pairs push the bonds closer together (angles < 180°).
  • Option C & Option D: Correspond to 3 and 4 bonding domains, respectively.
#8 of 75 BUMHS 2024
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A molecule of ethane has _ \( \sigma \) (sigma) bonds.
A
four
B
five
C
six
D
seven
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

In a saturated alkane, every single bond between atoms is a direct, head-on sigma (\( \sigma \)) bond.

Formula:

$$ \text{Ethane} = \text{C}_2\text{H}_6 $$

Solution:

  • Ethane consists of two Carbon atoms and six Hydrogen atoms.


  • Each of the 6 Hydrogens forms a single sigma bond with a Carbon atom (6 C-H bonds).


  • The two Carbon atoms form one single sigma bond with each other (1 C-C bond).


  • Total sigma bonds = 6 + 1 = 7.


Why other options are incorrect:

  • Option A, Option B, Option C: These fail to count all the bonds in the molecule, likely missing the central C-C bond or miscounting the hydrogens.
#9 of 75 NUMS 2024
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In \( \text{CH}_3\text{Cl} \), bond length of C-Cl is 176.7pm and covalent radius of Cl atom is 99.4pm, the covalent radius of carbon atom is:
A
66.3 pm
B
276.1 pm
C
175.4 pm
D
77.3 pm
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

The bond length of a single covalent bond is approximately the sum of the covalent radii of the two bonded atoms.

Formula:

$$ \text{Bond Length}_{(\text{C-Cl})} = \text{Radius}_{(\text{C})} + \text{Radius}_{(\text{Cl})} $$

Solution:

  • We are given the total bond length: 176.7 pm.


  • We are given the radius of Chlorine: 99.4 pm.


  • Rearranging the formula to find Carbon's radius:
    $$ \text{Radius}_{(\text{C})} = \text{Bond Length} - \text{Radius}_{(\text{Cl})} $$


  • $$ \text{Radius}_{(\text{C})} = 176.7 - 99.4 = 77.3 \text{ pm} $$


Why other options are incorrect:

  • Option A, Option B, Option C: These are the results of incorrect arithmetic (e.g., adding instead of subtracting, or simple subtraction errors).
#10 of 75 NUMS 2024
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Predict the highest bond energy of the following single bond:
A
C - H
B
C - N
C
C - O
D
C - C
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

Bond energy is strongly dependent on bond length. Shorter bonds are generally stronger. A bond involving the tiny Hydrogen atom will be significantly shorter than bonds between two Period 2 elements.

Formula:

$$ \text{Bond Energy} \propto \frac{1}{\text{Bond Length}} $$

Solution:

  • Hydrogen is the smallest atom (only a 1s orbital). Because its radius is so small, the Carbon and Hydrogen nuclei sit very close together.


  • This short distance (approx. 109 pm) results in a highly concentrated electron density between the nuclei, creating a very strong, stable bond (approx. 413 kJ/mol).


  • Bonds like C-C, C-N, and C-O involve two larger atoms (Period 2), resulting in longer, slightly weaker single bonds (ranging from 300 to 350 kJ/mol).


Why other options are incorrect:

  • Option B, Option C, Option D: All feature longer internuclear distances compared to a C-H bond, resulting in lower bond dissociation energies.
#11 of 75 NUMS 2024
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Identify the type of hybridization of nitrogen in the following molecule:

N
A
\( \text{sp} \)
B
\( \text{sp}^2 \)
C
\( \text{sp}^3 \)
D
\( \text{dsp}^2 \)
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

The hybridization of an atom is dictated by its steric number (the sum of sigma bonds and lone pairs). For nitrogen forming consecutive double bonds, the geometry is forced to be linear.

Formula:

$$ \text{Steric Number} = (\sigma \text{ bonds}) + (\text{lone pairs}) $$

Solution:

  • In the given cumulated double-bond structure (similar to an isocyanate group, \( -\text{N}=\text{C}=\text{O} \)), the Nitrogen atom is double-bonded to the adjacent Carbon atom and double-bonded to the aromatic ring (or another group acting as a cation/anion depending on resonance).


  • Based on the explanatory notes provided in the source key, this specific Nitrogen atom is forming exactly 2 sigma (\( \sigma \)) bonds and 2 pi (\( \pi \)) bonds.


  • Because it has only 2 sigma bonding domains (and the pi bonds utilize the unhybridized p-orbitals), its steric number is 2.


  • A steric number of 2 corresponds to \( \text{sp} \) hybridization, giving that segment of the molecule a linear geometry.


Why other options are incorrect:

  • Option B: Requires 3 sigma domains (e.g., a standard double bond and a lone pair, as in a typical imine).
  • Option C: Requires 4 sigma domains (e.g., standard single bonds as in ammonia).
#12 of 75 DUHS 2023
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Ca (Z=20) forms ionic bond with (Z=17)? What is the chemical formula of calcium chloride?
A
CaCl
B
\( \text{CaCl}_2 \)
C
\( \text{Ca}_2\text{C} \)
D
\( \text{Ca}_2\text{Cl} \)
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

The chemical formula of an ionic compound is derived by "crisscrossing" the valencies (ionic charges) of the constituent elements to ensure the final compound is electrically neutral.

Formula:

$$ \text{Ca}^{+2} + 2\text{Cl}^{-} \rightarrow \text{CaCl}_2 $$

Solution:

  • Calcium (Z=20) is in Group IIA. It loses two valence electrons to achieve an octet, forming the \( \text{Ca}^{+2} \) ion.


  • Chlorine (Z=17) is a halogen in Group VIIA. It needs to gain exactly one electron to complete its octet, forming the \( \text{Cl}^{-} \) ion.


  • To balance the +2 charge of a single Calcium ion, you require exactly two -1 Chlorine ions (\( +2 \) and \( -2 = 0 \)).


  • Therefore, the formula is definitively \( \text{CaCl}_2 \).


Why other options are incorrect:

  • CaCl: Leaves a net positive charge of +1, which is electrically unstable.


  • \( \text{Ca}_2\text{C} \): Brings Carbon into a question specifically asking about Calcium and Chlorine.


  • \( \text{Ca}_2\text{Cl} \): Crisscrosses the valencies backward, implying Chlorine has a +2 charge and Calcium has a -1 charge, which is chemically impossible.
#13 of 75 UHS 2023
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The bond energy of hydrogen in \( \text{H}_2 \) molecule is:
A
242 KJ/mol
B
431 KJ/mol
C
436 KJ/mol
D
346 KJ/mol
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

Bond dissociation energy is a specific thermodynamic value representing the strength of the bond between two atoms.

Formula:

$$ \text{H}_2(g) \longrightarrow 2\text{H}(g) \quad \Delta H = 436 \text{ kJ/mol} $$

Solution:

  • The standard bond enthalpy required to break the single covalent sigma bond between two Hydrogen atoms in one mole of \( \text{H}_2 \) gas is experimentally determined to be 436 kJ/mol.


  • This is a factual memory-based value from standard thermodynamic tables.


Why other options are incorrect:

  • Option A: 242 kJ/mol is the bond energy of \( \text{Cl}_2 \).
  • Option B: 431 kJ/mol is the bond energy of HCl.
  • Option D: 346 kJ/mol is the bond energy of a C-C single bond.
#14 of 75 SZABMU 2023
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Which of the following molecule has \( \text{sp}^2 \) hybridization?
A
\( \text{NH}_3 \)
B
\( \text{BF}_3 \)
C
\( \text{H}_2\text{O} \)
D
\( \text{BeCl}_2 \)
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Hybridization is determined by the steric number of the central atom (number of sigma bonds + number of lone pairs).

Formula:

$$ \text{Steric Number (SN)} = 3 \implies \text{sp}^2 $$

Solution:

  • In Boron trifluoride (\( \text{BF}_3 \)), Boron is the central atom in Group IIIA, having 3 valence electrons.


  • It forms 3 single sigma bonds with 3 Fluorine atoms. It has 0 lone pairs left.


  • Steric Number = 3 + 0 = 3.


  • This corresponds perfectly to \( \text{sp}^2 \) hybridization, giving the molecule a flat, trigonal planar geometry.


Why other options are incorrect:

  • Option A & Option C: Ammonia and Water have a steric number of 4 (bonds + lone pairs), making them \( \text{sp}^3 \) hybridized.
  • Option D: Beryllium chloride has a steric number of 2, making it \( \text{sp} \) hybridized.
#15 of 75 ETEA 2023
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The molecular shape of a molecule with three bonded atoms and one lone pair electron on the central atom will be:
A
Trigonal planar
B
Tetrahedral
C
Trigonal pyramidal
D
Liner
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

The presence of a lone pair on a central atom repels the bond pairs, transforming a flat or symmetrical geometry into a 3D distorted shape.

Formula:

$$ \text{Type} = \text{AB}_3\text{E} $$

Solution:

  • A molecule with 3 bonds and 1 lone pair has 4 total electron domains (\( \text{sp}^3 \) hybridization).


  • The underlying electron geometry is tetrahedral.


  • However, molecular shape only accounts for the visible atoms. The lone pair pushes the three bonded atoms down like the legs of a camera tripod.


  • This results in a Trigonal Pyramidal shape (e.g., Ammonia, \( \text{NH}_3 \)).


Why other options are incorrect:

  • Option A: Occurs with 3 bonds and 0 lone pairs.
  • Option B: Occurs with 4 bonds and 0 lone pairs.
  • Option D: Occurs with 2 bonds and 0 (or 3) lone pairs.
#16 of 75 ETEA 2023
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The bond length between double bonded carbon atoms is:
A
1.34 \( \text{\AA} \)
B
1.10 \( \text{\AA} \)
C
1.54 \( \text{\AA} \)
D
1.82 \( \text{\AA} \)
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

As bond order increases (single -> double -> triple), the atoms are pulled closer together, decreasing the bond length.

Formula:

$$ \text{C-C} > \text{C=C} > \text{C}\equiv\text{C} $$

Solution:

  • Experimental data shows the standard C-C single bond length (e.g., in ethane) is 1.54 \( \text{\AA} \).


  • The standard C=C double bond length (e.g., in ethene) is 1.34 \( \text{\AA} \).


  • The standard C\( \equiv \)C triple bond length (e.g., in ethyne) is 1.20 \( \text{\AA} \).


  • Therefore, the correct value for a double bond is 1.34 \( \text{\AA} \).


Why other options are incorrect:

  • Option C: This is the bond length for a single C-C bond.
  • Option B & Option D: These do not correspond to standard carbon-carbon bond lengths.
#17 of 75 ETEA 2023
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Molecule having the highest bond energy (Experimentally) is:
A
HCl
B
HF
C
HBr
D
HI
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Bond energy is inversely proportional to bond length. Shorter bonds are stronger because the nuclei are closer to the shared electron pair.

Formula:

$$ \text{Bond Energy} \propto \frac{1}{\text{Bond Length}} $$

Solution:

  • Fluorine is the smallest halogen atom. When it bonds with Hydrogen, the resulting H-F bond length is extremely short.


  • Because the bonding electrons are held very tightly and closely between the two nuclei, a massive amount of energy (approx. 567 kJ/mol) is required to break the bond.


  • As we go down the halogen group (Cl, Br, I), the atomic size increases, bond length increases, and bond energy rapidly decreases.


Why other options are incorrect:

  • Option A, Option C, Option D: These molecules feature progressively larger halogens, resulting in longer, weaker bonds that are easier to break.
#18 of 75 DUHS 2023
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\( \text{CO}_2 \) & \( \text{SO}_2 \) are two compounds. Which of the following best describes these two compounds?
A
Both \( \text{CO}_2 \) & \( \text{SO}_2 \) are linear and non-polar
B
\( \text{CO}_2 \) is angular and polar \( \text{SO}_2 \) is linear and non-polar
C
\( \text{CO}_2 \) is linear and non-polar \( \text{SO}_2 \) is angular and polar
D
Both \( \text{CO}_2 \) and \( \text{SO}_2 \) are angular and polar
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

The presence or absence of a lone pair on the central atom dictates whether a triatomic molecule is linear (non-polar) or bent (polar).

Formula:

$$ \text{CO}_2 = \text{AB}_2 \quad ; \quad \text{SO}_2 = \text{AB}_2\text{E} $$

Solution:

  • In \( \text{CO}_2 \), Carbon has 0 lone pairs. The two double bonds repel each other equally to a 180° angle, making the molecule perfectly linear. The opposing dipoles cancel out, making it non-polar.


  • In \( \text{SO}_2 \), Sulfur has 1 lone pair. This lone pair repels the two double bonds, bending the molecule into an angular (V) shape. Because it is asymmetrical, the dipoles do not cancel, making it polar.


Why other options are incorrect:

  • Option A, Option B, Option D: These options fail to recognize the structural difference caused by Sulfur's lone pair compared to Carbon's empty valence shell.
#19 of 75 BUMHS 2023
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Which of the following pair is iso-structural?
A
\( \text{AlCl}_3 \) and \( \text{CH}_4 \)
B
\( \text{BF}_3 \) and \( \text{NH}_3 \)
C
\( \text{SnCl}_2 \) and \( \text{BeCl}_2 \)
D
\( \text{SO}_3 \) and \( \text{BF}_3 \)
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

Iso-structural molecules share the exact same geometric shape, which usually implies having the same steric number and number of lone pairs on the central atom.

Formula:

$$ \text{Shape of AB}_3 (\text{no lone pairs}) = \text{Trigonal Planar} $$

Solution:

  • In Sulfur trioxide (\( \text{SO}_3 \)), Sulfur forms 3 double bonds with oxygen and has 0 lone pairs (\( \text{sp}^2 \)). Geometry: Trigonal Planar.


  • In Boron trifluoride (\( \text{BF}_3 \)), Boron forms 3 single bonds with fluorine and has 0 lone pairs (\( \text{sp}^2 \)). Geometry: Trigonal Planar.


  • Because both molecules adopt the exact same flat, triangular geometry, they are iso-structural.


Why other options are incorrect:

  • Option A: \( \text{AlCl}_3 \) is planar, \( \text{CH}_4 \) is tetrahedral.
  • Option B: \( \text{BF}_3 \) is planar, \( \text{NH}_3 \) is pyramidal (has a lone pair).
  • Option C: \( \text{SnCl}_2 \) is bent (has a lone pair), \( \text{BeCl}_2 \) is linear.
#20 of 75 BUMHS 2023
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Which of the following is hybridized state of carbon atom of a carbonyl group?
A
\( \text{sp} \) hybridized
B
\( \text{sp}^2 \) hybridized
C
\( \text{sp}^3 \) hybridized
D
\( \text{dsp}^2 \) hybridized
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

The carbonyl group (\( \text{C=O} \)) contains a carbon atom double-bonded to an oxygen atom.

Formula:

$$ >\text{C}=\text{O} $$

Solution:

  • The carbon atom in a carbonyl group forms one double bond (with Oxygen) and two single bonds (with other atoms/groups).


  • A double bond is composed of one sigma and one pi bond. Therefore, the carbon atom has 3 total sigma bonds and 0 lone pairs.


  • A steric number of 3 corresponds to \( \text{sp}^2 \) hybridization, giving the carbonyl group its characteristic flat, trigonal planar geometry.


Why other options are incorrect:

  • Option A: Occurs with triple bonds or two double bonds.
  • Option C: Occurs with four single bonds.
#21 of 75 NUMS 2023
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The reason of highest electronegativity value of Fluorine is:
A
Complete outermost shell
B
Ability to form negative ion
C
Existence as diatomic molecule
D
Smaller size and higher nuclear change in the respective period
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

Electronegativity is driven by the nucleus's ability to attract shared electrons, which is maximized when the atom is small and the nuclear charge is high without excessive shielding.

Formula:

$$ \text{EN} \propto \frac{Z_{\text{eff}}}{\text{Atomic Radius}} $$

Solution:

  • Fluorine is at the far right of Period 2 (excluding the noble gas Neon).


  • It has a high effective nuclear charge (+9 protons pulling on just 2 electron shells).


  • Because it only has two shells, its atomic radius is extremely small, meaning the shared bonding electrons sit very close to the positive nucleus.


  • This combination of small size and high nuclear charge gives it the strongest pull on electrons (highest electronegativity).


Why other options are incorrect:

  • Option A: It does not have a complete outermost shell (it needs 1 more electron).
  • Option B & Option C: These are consequences of its chemistry, not the fundamental causes of its electronegativity.
#22 of 75 NUMS 2023
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Valance shell electron pair repulsion theory explains:
A
Bond Energy
B
Bond Length
C
Shapes and Bond Energy
D
Shapes
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

VSEPR (Valence Shell Electron Pair Repulsion) theory was designed exclusively to predict the 3D geometry of molecules based on electrostatic repulsions.

Formula:

$$ \text{Geometry is defined by minimizing LP/BP repulsion.} $$

Solution:

  • VSEPR theory postulates that electron pairs (both bonding and lone pairs) in the valence shell of a central atom will arrange themselves as far apart as possible to minimize repulsion.


  • This spatial arrangement directly dictates the physical shape (geometry) of the molecule (e.g., linear, tetrahedral, bent).


  • It does not mathematically calculate bond energies or bond lengths.


Why other options are incorrect:

  • Option A, Option B, Option C: Bond energies and lengths are explained by Molecular Orbital Theory and Valence Bond Theory (orbital overlap), not by VSEPR.
#23 of 75 NUMS 2023
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Which of the following has \( \text{sp}^3 \) hybridization?
A
\( \text{BF}_3 \)
B
\( \text{C}_2\text{H}_4 \)
C
\( \text{BeCl}_2 \)
D
\( \text{CH}_4 \)
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

An \( \text{sp}^3 \) hybridized atom requires 4 electron domains (sigma bonds + lone pairs) to achieve a tetrahedral layout.

Formula:

$$ \text{Steric Number} = 4 \implies \text{sp}^3 $$

Solution:

  • In methane (\( \text{CH}_4 \)), the central Carbon atom forms exactly 4 single sigma bonds with Hydrogen atoms.


  • It has 0 lone pairs.


  • 4 domains require the mixing of one s and three p orbitals, resulting in \( \text{sp}^3 \) hybridization and a perfect tetrahedral shape.


Why other options are incorrect:

  • Option A: \( \text{BF}_3 \) has 3 bonds = \( \text{sp}^2 \).
  • Option B: \( \text{C}_2\text{H}_4 \) (Ethene) has a double bond (3 domains per C) = \( \text{sp}^2 \).
  • Option C: \( \text{BeCl}_2 \) has 2 bonds = \( \text{sp} \).
#24 of 75 NUMS 2023
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The factor which is not affecting bond length is:
A
Presence of multiple bonds
B
Nature of hybridization present
C
Difference in electronegativity between the two bonded atoms
D
Ionization energies of the two bonded atoms
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

Bond length is the internuclear distance between two bonded atoms. It is physically determined by orbital size, bond order, and electrostatic polarity.

Formula:

$$ \text{Bond Length} \propto \text{Radius} + \text{Radius} - \text{Polarity corrections} $$

Solution:

  • Multiple bonds: Increase bond order, pulling atoms closer (decreases length).


  • Hybridization: More s-character (e.g., sp vs sp3) makes orbitals smaller, decreasing bond length.


  • Electronegativity diff: Creates partial charges causing electrostatic attraction, shortening the bond (Schomaker-Stevenson rule).


  • Ionization energy: While related to general atomic properties, it does not directly act as a mechanical factor altering the geometric distance of a formed covalent bond.


Why other options are incorrect:

  • Option A, Option B, Option C: These are the three primary, direct determinants of covalent bond length.
#25 of 75 UHS 2022
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Among LiCl, \( \text{BeCl}_2 \), NaCl and CsCl compounds with the greatest and the least ionic character respectively are:
A
LiCl and CsCl
B
NaCl and LiCl
C
CsCl and NaCl
D
CsCl and \( \text{BeCl}_2 \)
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

Ionic character depends on the electronegativity difference. The metal with the lowest ionization energy (most electropositive) forms the most ionic bond, while the one with the highest IE forms the least ionic (most covalent) bond.

Formula:

$$ \text{Ionic Character} \propto \Delta\text{EN} $$

Solution:

  • Cesium (Cs) is at the bottom left of the periodic table. It is the most electropositive element, creating a massive electronegativity difference with Chlorine. CsCl has the greatest ionic character.


  • Beryllium (Be) is at the top of Group 2. It has a very small size and high ionization energy, making it relatively electronegative for a metal. This gives \( \text{BeCl}_2 \) significant covalent character (least ionic).


Why other options are incorrect:

  • Option A, Option B, Option C: These options fail to pair the absolute extremes of electropositivity present in the list (Cs as highest, Be as lowest).
#26 of 75 UHS 2022
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\( \text{AB}_4 \) type with no lone pairs geometry enables to form which shape of molecule?
A
Trigonal
B
Regular octahedron
C
Regular tetrahedron
D
Regular pyramidal
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

VSEPR theory dictates that 4 identical bonding domains around a central atom will orient themselves in 3D space to maximize their separation angles.

Formula:

$$ \text{Angle} = 109.5^{\circ} $$

Solution:

  • With 4 bond pairs and 0 lone pairs, the most stable, lowest-energy configuration is a perfect, symmetrical 3D tetrahedron.


  • Because all four domains are identical bonds, the geometry is a "Regular tetrahedron".


Why other options are incorrect:

  • Option A: Describes 3 bond domains.
  • Option B: Describes 6 bond domains.
  • Option D: Describes 3 bond domains + 1 lone pair.
#27 of 75 SZABMU 2022
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Which of the following has greatest difference of electronegativity?
A
HF
B
HCl
C
HBr
D
HI
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

Electronegativity decreases down Group 7 (Halogens). Therefore, the difference in electronegativity between Hydrogen and a Halogen is greatest with the halogen at the top of the group.

Formula:

$$ \Delta\text{EN} = |\text{EN}_{(\text{Halogen})} - \text{EN}_{(\text{Hydrogen})}| $$

Solution:

  • Hydrogen has a constant electronegativity of 2.1.


  • Fluorine is the most electronegative element (4.0).


  • The difference (\( 4.0 - 2.1 = 1.9 \)) is the highest. As you move to Cl (3.0), Br (2.8), and I (2.5), the difference shrinks steadily.


Why other options are incorrect:

  • Option B, Option C, Option D: The halogen electronegativities are progressively lower, resulting in smaller \( \Delta\text{EN} \) and more covalent character.
#28 of 75 ETEA 2022
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Identify the compound given below which has bond formed by overlapping of sp and p orbital:
A
\( \text{BeCl}_2 \)
B
\( \text{BF}_3 \)
C
\( \text{H}_2\text{O} \)
D
\( \text{NH}_3 \)
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

Determine the hybridization of the central atom to see which one utilizes \( \text{sp} \) hybrid orbitals to bond with the unhybridized p-orbitals of a halogen.

Formula:

$$ \text{Steric Number (SN)} = 2 \implies \text{sp hybridization} $$

Solution:

  • Beryllium in \( \text{BeCl}_2 \) forms 2 single bonds with Chlorine and has 0 lone pairs.


  • A steric number of 2 means Be is \( \text{sp} \) hybridized.


  • Chlorine uses its unhybridized 3p orbital to bond. Thus, the bond is a direct \( \text{sp - p} \) overlap.


Why other options are incorrect:

  • Option B: Boron in \( \text{BF}_3 \) is \( \text{sp}^2 \) hybridized.
  • Option C & Option D: Oxygen in water and Nitrogen in ammonia are \( \text{sp}^3 \) hybridized (and hydrogen uses s-orbitals, not p-orbitals).
#29 of 75 ETEA 2022
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The shape of ammonia (\( \text{NH}_3 \)) is
A
Trigonal bi pyramidal
B
Trigonal pyramidal
C
Trigonal planner
D
Square planner
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

The molecular shape is determined by the positions of the atoms, heavily influenced by the lone pairs on the central atom (VSEPR theory).

Formula:

$$ \text{Type} = \text{AB}_3\text{E} $$

Solution:

  • Ammonia has a central Nitrogen atom bonded to 3 Hydrogen atoms, leaving 1 lone pair.


  • The 4 total electron domains arrange themselves in a tetrahedral geometry to minimize repulsion.


  • Because one of those domains is an invisible lone pair, the observable shape formed by the atoms is a trigonal pyramid.


Why other options are incorrect:

  • Option A: Requires 5 bond pairs (e.g., \( \text{PCl}_5 \)).
  • Option C: Requires 3 bond pairs and 0 lone pairs.
  • Option D: Requires 4 bond pairs and 2 lone pairs.
#30 of 75 DUHS 2022
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The dipole moment of \( \text{CO}_2 \) is zero because it is:
A
Angular
B
Linear
C
Triatomic
D
Pyramidal
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

A molecule's net dipole moment is the vector sum of its individual bond dipoles. If the molecule is perfectly symmetrical, these vectors cancel out.

Formula:

$$ \text{O} = \text{C} = \text{O} \quad (180^{\circ}) $$

Solution:

  • Carbon dioxide (\( \text{CO}_2 \)) is an \( \text{AB}_2 \) type molecule with no lone pairs on the central Carbon atom.


  • This gives it a perfectly linear geometry.


  • The two highly electronegative Oxygen atoms pull electron density equally in exactly opposite directions, causing the bond dipole vectors to sum to zero.


Why other options are incorrect:

  • Option A & Option D: These geometries are asymmetrical and would result in a net polar molecule.
  • Option C: Being triatomic does not guarantee a zero dipole (e.g., \( \text{H}_2\text{O} \) is triatomic and highly polar).
#31 of 75 DUHS 2022
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Ethene (\( \text{H}_2\text{C}=\text{CH}_2 \)) has hybridization of C-atom:
A
\( \text{dsp}^3 \)
B
\( \text{sp} \)
C
\( \text{sp}^3 \)
D
\( \text{sp}^2 \)
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

The hybridization of an atom can be quickly determined by its steric number (the sum of sigma bonds and lone pairs attached to it).

Formula:

$$ \text{Steric Number} = 3 \sigma \text{ bonds} + 0 \text{ lone pairs} = 3 $$

Solution:

  • In ethene, each Carbon atom forms a double bond with the other Carbon and single bonds with two Hydrogen atoms.


  • A double bond consists of one sigma bond and one pi bond. Therefore, each Carbon has exactly 3 sigma bonding domains.


  • A steric number of 3 dictates the mixing of one s-orbital and two p-orbitals, resulting in \( \text{sp}^2 \) hybridization.


Why other options are incorrect:

  • Option B: Occurs when carbon has triple bonds or two double bonds (steric number 2).
  • Option C: Occurs when carbon has four single bonds (steric number 4).
#32 of 75 DUHS 2022
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Cation & anion formed which combines to form crystal lattices:
A
Only cations is isoelectronic to nearest noble gas
B
Cation & anion both are isoelectronic to nearest noble gas
C
Cation & anion both are isoelectronic to nearest noble gas & No of electron lost by metal & No of electrons gained by nonmetal are equal
D
Only anion is isoelectronic by nearest noble gas
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Ionic bonds form so that both participating atoms can achieve a stable, lower-energy electron configuration, typically an octet.

Formula:

$$ \text{Na} \rightarrow \text{Na}^+ \ ([\text{Ne}]) \quad ; \quad \text{Cl} + e^- \rightarrow \text{Cl}^- \ ([\text{Ar}]) $$

Solution:

  • Metals lose electrons to empty their valence shell, exposing the full stable shell beneath (becoming isoelectronic with the preceding noble gas).


  • Nonmetals gain electrons to completely fill their current valence shell (becoming isoelectronic with the succeeding noble gas).


  • Thus, in stable ionic crystal lattices, both the resulting cations and anions achieve a stable noble gas configuration.


Why other options are incorrect:

  • Option A & Option D: It is not an exclusive process; both ions achieve stability simultaneously.
  • Option C: While true that total electrons lost equals total gained in the bulk compound, option B is the fundamental driving force for the individual ions' stability as per standard textbook phrasing.
#33 of 75 BUMHS 2022
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During the formation of chemical bond:
A
Energy decreases
B
Energy increases
C
Energy does not change
D
Energy first increases then decreases
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

Chemical bonding is an inherently stabilizing process. Atoms bond to reach a lower, more stable energy state.

Formula:

$$ \Delta H < 0 \text{ (Exothermic process)} $$

Solution:

  • When two atoms approach each other and form a bond, the attractive forces between their nuclei and the shared electrons overcome the repulsive forces.


  • This system drops to a lower potential energy state.


  • The excess energy is released into the surroundings (exothermic), meaning the intrinsic energy of the newly bonded molecule decreases compared to the isolated atoms.


Why other options are incorrect:

  • Option B & Option C: If energy increased or stayed the same, there would be no thermodynamic driving force for the bond to form in the first place.
#34 of 75 BUMHS 2022
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Bond energy is expressed in:
A
KJ/mol
B
Calories
C
Joules
D
Volt
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

Bond energy (or bond enthalpy) measures the strength of a chemical bond. It is quantified as the energy required to break one mole of a specific bond type in the gas phase.

Formula:

$$ \text{Standard SI Unit for Molar Enthalpy} = \text{kJ/mol} $$

Solution:

  • Because individual atoms are incredibly small, chemists measure bond energies on a macroscopic scale using moles.


  • The energy is typically very large, so it is expressed in kilojoules (kJ) rather than standard Joules.


  • Therefore, the standard unit is Kilojoules per mole (kJ/mol).


Why other options are incorrect:

  • Option B & Option C: While calories and Joules are units of energy, they lack the per-mole (macroscopic) scaling standard in chemical thermodynamics.
  • Option D: Volt is a unit of electrical potential, not chemical energy.
#35 of 75 BUMHS 2022
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Which of the following is not a primary bond?
A
Ionic bond
B
Hydrogen bond
C
Dative bond
D
Covalent bond
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Chemical bonds are categorized into primary (strong intramolecular forces) and secondary (weaker intermolecular forces).

Formula:

$$ \text{Primary} = \text{Ionic, Covalent, Metallic} $$

Solution:

  • Primary bonds involve the actual transfer or sharing of electrons between atoms to form molecules or crystal lattices (e.g., Ionic, Covalent, and Dative/Coordinate bonds).


  • Hydrogen bonds are secondary bonds. They are relatively weak dipole-dipole intermolecular forces that occur between already stable molecules, rather than forming the fundamental structure of the molecule itself.


Why other options are incorrect:

  • Option A, Option C, Option D: These all involve the sharing or transferring of valence electrons, strictly defining them as strong primary bonds.
#36 of 75 BUMHS 2022
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Which of the following has NOT \( \text{sp}^3 \) hybridized carbon?
A
Benzene
B
1-Butene
C
2-Butyne
D
1-Pentene
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

An \( \text{sp}^3 \) hybridized carbon atom must be attached to four separate domains exclusively by single bonds (sigma bonds).

Formula:

$$ \text{sp}^3 \implies \text{Only single bonds (alkane-like carbons)} $$

Solution:

  • Benzene (\( \text{C}_6\text{H}_6 \)) consists of a planar hexagonal ring where every single carbon atom forms one double bond (delocalized) and two single bonds. Therefore, every carbon in benzene is \( \text{sp}^2 \) hybridized. It has absolutely zero \( \text{sp}^3 \) carbons.


  • 1-Butene, 2-Butyne, and 1-Pentene all contain carbon chains that feature standard alkane-like \( \text{CH}_2 \) or \( \text{CH}_3 \) groups, which are fully \( \text{sp}^3 \) hybridized.


Why other options are incorrect:

  • Option B, Option C, Option D: These aliphatic chains contain at least one saturated carbon with four single bonds, meaning they do possess \( \text{sp}^3 \) hybridized carbons.
#37 of 75 NUMS 2022
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Type of hybridization of carbon in Ethene (\( \text{H}_2\text{C}=\text{CH}_2 \)) is:
A
\( \text{sp}^3 \)
B
\( \text{sp} \)
C
\( \text{sp}^2 \)
D
\( \text{dsp}^2 \)
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

The hybridization of a carbon atom depends on the number of sigma bonds it forms.

Formula:

$$ \text{Steric Number (SN)} = \text{Number of } \sigma \text{ bonds} $$

Solution:

  • In Ethene (\( \text{C}_2\text{H}_4 \)), each Carbon atom is bonded to two Hydrogens (2 single sigma bonds) and one Carbon (1 double bond = 1 sigma + 1 pi).


  • Total sigma domains = 3.


  • A steric number of 3 requires the mixing of one s and two p orbitals, yielding \( \text{sp}^2 \) hybridization.


Why other options are incorrect:

  • Option A: Requires 4 sigma bonds (e.g., Ethane).
  • Option B: Requires 2 sigma bonds (e.g., Ethyne).
  • Option D: Involves d-orbitals, which carbon (in Period 2) does not possess in its valence shell.
#38 of 75 NUMS 2022
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Which of the following molecule is polar?
A
\( \text{CCl}_4 \)
B
\( \text{CO}_2 \)
C
\( \text{AlCl}_3 \)
D
\( \text{HCl} \)
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

A molecule is polar if it contains polar bonds that do not cancel each other out symmetrically.

Formula:

$$ \mu \neq 0 \implies \text{Polar Molecule} $$

Solution:

  • Hydrogen Chloride (HCl) is a simple diatomic molecule.


  • Chlorine (EN = 3.0) is much more electronegative than Hydrogen (EN = 2.1).


  • This creates a permanent uneven sharing of electrons (a dipole), making the molecule polar. There are no other bonds to cancel this dipole out.


Why other options are incorrect:

  • Option A: \( \text{CCl}_4 \) is a perfectly symmetrical tetrahedron; dipoles cancel completely.
  • Option B: \( \text{CO}_2 \) is perfectly linear; dipoles cancel perfectly.
  • Option C: \( \text{AlCl}_3 \) is a perfectly symmetrical trigonal planar molecule; dipoles cancel.
#39 of 75 NUMS 2022
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Which of the following molecule is covalent in nature?
A
NaCl
B
\( \text{AlCl}_3 \)
C
\( \text{MgCl}_2 \)
D
KCl
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

According to Fajans' Rules, the covalent character of an ionic compound increases with a high positive charge and small size of the cation (high polarizing power).

Formula:

$$ \text{Polarizing Power} \propto \frac{\text{Charge}}{\text{Radius}} $$

Solution:

  • Aluminum in \( \text{AlCl}_3 \) has a very high charge (\( 3^+ \)) and a small ionic radius compared to Na, K, and Mg.


  • This gives \( \text{Al}^{3+} \) extreme polarizing power, allowing it to strongly distort (polarize) the electron cloud of the chloride anions.


  • This heavy distortion pulls the electrons into the space between the nuclei, creating substantial electron sharing (covalent character). Therefore, \( \text{AlCl}_3 \) exists predominantly as a covalent molecule.


Why other options are incorrect:

  • Option A, Option C, Option D: These metals (Na, Mg, K) have lower charges (\( 1^+, 2^+ \)) and larger radii, leading to weak polarizing power and predominantly ionic bonds.
#40 of 75 SZABMU 2022
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Carbon atoms in ethane are hybridized:
A
\( \text{sp}^3 \)
B
\( \text{sp}^2 \)
C
sp
D
\( \text{sp}^3\text{d} \)
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

The hybridization of an atom can be quickly determined by counting the number of bonded atoms and lone pairs (steric number).

Solution:

  • The chemical formula for ethane is \( \text{C}_2\text{H}_6 \).
  • The structure of ethane consists of a single covalent bond between the two carbon atoms (C-C), and each carbon is singly bonded to three hydrogen atoms (C-H).
  • There are zero lone pairs on the carbon atoms.
  • Therefore, each carbon atom is completely surrounded by 4 single sigma bonds.
  • A steric number of 4 corresponds to the mixing of one 's' orbital and three 'p' orbitals, resulting in \( \text{sp}^3 \) hybridization with a tetrahedral geometry.


Why other options are incorrect:

  • \( \text{sp}^2 \): Found in ethene (double bonds).
  • sp: Found in ethyne (triple bonds).
  • \( \text{sp}^3\text{d} \): Impossible for carbon, as it does not have empty d-orbitals in its valence shell.
#41 of 75 PMC 2021
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Number of single covalent bonds in water molecule are:
A
1
B
2
C
3
D
4
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

The structure of a water molecule is dictated by Oxygen's valency. Oxygen is in Group VI and requires two electrons to complete its octet.

Formula:

$$ \text{H}-\text{O}-\text{H} $$

Solution:

  • The central Oxygen atom shares one of its valence electrons with the electron of the first Hydrogen atom to form one single covalent bond.


  • It shares another valence electron with the second Hydrogen atom to form a second single covalent bond.


  • Therefore, there are exactly two (2) discrete single O-H covalent bonds in a single water molecule.


  • (Oxygen also retains two non-bonding lone pairs).


Why other options are incorrect:

  • 1: Oxygen needs two bonds to fill its octet, not one.


  • 3 & 4: Hydrogen can only form a single bond, and there are only two hydrogens available.
#42 of 75 PMC 2021
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P character in sp:
A
75%
B
50%
C
25%
D
33%
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

The fractional character of a specific orbital type in a hybrid is determined by its ratio to the total number of orbitals involved.

Formula:

$$ \text{% p-character} = \left( \frac{\text{number of p orbitals}}{\text{total hybrid orbitals}} \right) \times 100 $$

Solution:

  • \( \text{sp} \) hybridization is formed by mixing one s-orbital and one p-orbital.


  • Total orbitals mixed = 2.


  • Ratio of p-orbitals = \( \frac{1}{2} \).


  • \( \frac{1}{2} \times 100 = 50\% \).


Why other options are incorrect:

  • Option A: 75% is the p-character of an \( \text{sp}^3 \) orbital.
  • Option C: 25% is the s-character of an \( \text{sp}^3 \) orbital.
  • Option D: 33% is the s-character of an \( \text{sp}^2 \) orbital.
#43 of 75 PMC 2021
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Hybridization in ethyne (\( \text{C}_2\text{H}_2 \)):
A
\( \text{sp-sp} \)
B
\( \text{sp}^2\text{-sp} \)
C
\( \text{sp}^2\text{-sp}^2 \)
D
\( \text{sp}^3\text{-sp}^3 \)
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

The presence of a triple bond dictates that the carbon atoms are \( \text{sp} \) hybridized.

Formula:

$$ \text{H} - \text{C} \equiv \text{C} - \text{H} $$

Solution:

  • In ethyne, each Carbon atom forms exactly 2 sigma bonds (one with Hydrogen, one with the other Carbon) and has no lone pairs.


  • A steric number of 2 corresponds to \( \text{sp} \) hybridization.


  • Since both carbons are identical, the sigma bond between them is formed by the head-on overlap of an \( \text{sp} \) orbital from one carbon with an \( \text{sp} \) orbital from the other.


Why other options are incorrect:

  • Option C: Applies to ethene (double bond).
  • Option D: Applies to ethane (single bonds).
#44 of 75 PMC 2021
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The geometry of \( \text{AB}_3 \) type molecule is:
A
Trigonal pyramidal
B
Trigonal planar
C
Trigonal bipyramidal
D
Tetragonal
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

According to VSEPR theory, a central atom bonded to three identical atoms with zero lone pairs will arrange those bonds to maximize distance and minimize repulsion.

Formula:

$$ \text{Bond Angle} = \frac{360^{\circ}}{3} = 120^{\circ} $$

Solution:

  • Three electron domains will space themselves out equally in a two-dimensional plane.


  • This results in a flat, triangular shape known as Trigonal Planar geometry (e.g., \( \text{BF}_3 \)).


Why other options are incorrect:

  • Option A: Trigonal pyramidal occurs when a lone pair pushes the three bonds down into a 3D pyramid (\( \text{AB}_3\text{E} \)).
  • Option C: Requires 5 bond pairs (\( \text{AB}_5 \)).
#45 of 75 PMC 2021
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Shape of \( \text{H}_2\text{S} \):
A
Angular
B
Tetrahedral
C
Octahedral
D
Trigonal planar
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

The shape of a molecule is determined by the positions of the atoms, heavily influenced by the invisible lone pairs on the central atom.

Formula:

$$ \text{Type} = \text{AB}_2\text{E}_2 $$

Solution:

  • Sulfur (Group VIA) has 6 valence electrons. It shares 2 with hydrogen atoms, leaving 4 electrons (2 lone pairs).


  • The 4 total electron domains arrange tetrahedrally.


  • The 2 lone pairs severely repel the 2 bond pairs, bending the molecule.


  • The resulting visible geometry is Angular (or Bent).


Why other options are incorrect:

  • Option B: This is the electron geometry, not the molecular shape.
  • Option D: Requires 3 bond pairs and 0 lone pairs.
#46 of 75 PMDC 2020
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Which of the following has the highest value of electronegativity?
A
I
B
Br
C
Cl
D
F
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

Electronegativity is the tendency of an atom to attract a shared pair of electrons. It increases across a period and decreases down a group.

Formula:

$$ \text{EN Trend: F} > \text{Cl} > \text{Br} > \text{I} $$

Solution:

  • Fluorine is at the very top right of the periodic table (excluding noble gases).


  • It has the smallest atomic radius among the halogens and minimal shielding.


  • Because its valence electrons are closest to the highly attractive positive nucleus, Fluorine has the highest electronegativity value of all elements (4.0 on the Pauling scale).


Why other options are incorrect:

  • Option A, Option B, Option C: As you move down Group 7, the atomic radius and shielding effect increase, weakening the nucleus's grip on shared electrons and lowering electronegativity.
#47 of 75 PMDC 2020
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Which of the following hybrid orbital have maximum s-character?
A
\( \text{sp}^3 \)
B
\( \text{sp}^2 \)
C
\( \text{sp} \)
D
\( \text{dsp}^2 \)
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

The s-character of a hybrid orbital is calculated by dividing the number of s-orbitals by the total number of orbitals involved in the hybridization.

Formula:

$$ \text{% s-character} = \left( \frac{\text{number of s orbitals}}{\text{total hybrid orbitals}} \right) \times 100 $$

Solution:

  • \( \text{sp} \) hybridization mixes 1 s-orbital and 1 p-orbital (2 total). s-character = \( \frac{1}{2} = 50\% \).


  • \( \text{sp}^2 \) hybridization mixes 1 s and 2 p (3 total). s-character = \( \frac{1}{3} = 33.3\% \).


  • \( \text{sp}^3 \) hybridization mixes 1 s and 3 p (4 total). s-character = \( \frac{1}{4} = 25\% \).


  • Therefore, \( \text{sp} \) hybridized orbitals have the maximum s-character.


Why other options are incorrect:

  • Option A, Option B, Option D: All possess less than 50% s-character.
#48 of 75 MDCAT 2019
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The structure of Xenon trioxide (\( \text{XeO}_3 \)) is shown below.

Xe O O O


With reference to the Valence shell electron pair repulsion theory (VSEPR), the shape of \( \text{XeO}_3 \) is:
A
Tetrahedral
B
Trigonal pyramidal
C
Bent (or angular)
D
Trigonal planar
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

The molecular shape is dictated by the arrangement of bond pairs and lone pairs around the central atom according to VSEPR theory.

Formula:

$$ \text{Type} = \text{AB}_3\text{E} $$

Solution:

  • Xenon (Xe) in \( \text{XeO}_3 \) forms three double bonds with oxygen atoms (3 bonding domains).


  • Xe is a noble gas with 8 valence electrons. Sharing 6 electrons with Oxygen leaves 2 electrons, which form 1 lone pair.


  • A molecule with 3 bond pairs and 1 lone pair (\( \text{AB}_3\text{E} \)) adopts a trigonal pyramidal geometry.


Why other options are incorrect:

  • Option A: Would require 4 bond pairs and 0 lone pairs.
  • Option C: Would require 2 bond pairs.
  • Option D: Would require 3 bond pairs and 0 lone pairs.
#49 of 75 MDCAT 2019
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Which of the following sets constitutes of all the molecules and ions of non-planar geometry?
A
\( \text{SO}_2, \text{C}_2\text{H}_4, \text{BF}_3, \text{NO}_3^- \)
B
\( \text{CH}_4, \text{NH}_4^+, \text{MnO}_4^-, \text{NF}_3 \)
C
\( \text{CH}_2=\text{CH}_2, \text{H}_2\text{O}, \text{BeCl}_2, \text{H}_2\text{S} \)
D
\( \text{PH}_4^+, \text{NH}_3, \text{SO}_3, \text{Benzene} \)
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Molecules with \( \text{sp}^3 \) or higher hybridization (in 3 dimensions) are generally non-planar, while those with purely \( \text{sp}^2 \) or \( \text{sp} \) hybridization lacking lone pair distortions tend to be planar or linear.

Formula:

$$ \text{sp}^3 \text{ hybridization} \implies \text{Tetrahedral / Pyramidal (3D/Non-planar)} $$

Solution:

  • \( \text{CH}_4 \), \( \text{NH}_4^+ \), and \( \text{MnO}_4^- \) have perfect tetrahedral geometries (non-planar).


  • \( \text{NF}_3 \) has a trigonal pyramidal geometry (non-planar).


  • Thus, every species in this option extends into three dimensions and is strictly non-planar.


Why other options are incorrect:

  • Option A: \( \text{C}_2\text{H}_4 \), \( \text{BF}_3 \), and \( \text{NO}_3^- \) are all strictly planar.
  • Option C: Ethene (\( \text{CH}_2=\text{CH}_2 \)) is planar, and \( \text{BeCl}_2 \) is linear (1D).
  • Option D: \( \text{SO}_3 \) and Benzene are entirely planar molecules.
#50 of 75 NUMS 2019
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The shape of \( \text{CO}_2 \) molecule is similar to:
A
\( \text{H}_2\text{S} \)
B
\( \text{SO}_2 \)
C
\( \text{SnCl}_2 \)
D
\( \text{BeF}_2 \)
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

Molecules of type \( \text{AB}_2 \) with no lone pairs on the central atom exhibit a linear shape due to maximum repulsion (180°).

Formula:

$$ \text{Geometry} = \text{Linear } (180^{\circ}) $$

Solution:

  • Carbon dioxide (\( \text{CO}_2 \)) has a central Carbon atom with 2 double bonds and 0 lone pairs. It is linear.


  • Beryllium fluoride (\( \text{BeF}_2 \)) has a central Beryllium atom with 2 single bonds and 0 lone pairs. It is also completely linear.


Why other options are incorrect:

  • Option A, Option B, Option C: \( \text{H}_2\text{S} \), \( \text{SO}_2 \), and \( \text{SnCl}_2 \) all possess lone pairs on their central atoms, which push the bond pairs down, creating a bent or angular geometry.
#51 of 75 SET 2019
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What is the shape of ammonia \( \text{NH}_3 \) molecule?
A
Pyramidal
B
Linear
C
Tetrahedral
D
Trigonal planar
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

The geometry of ammonia is defined by \( \text{sp}^3 \) hybridization with one lone pair.

Formula:

$$ \text{Type} = \text{AB}_3\text{E} \implies \text{Trigonal Pyramidal} $$

Solution:

  • Nitrogen has 5 valence electrons. It uses 3 to bond with Hydrogen atoms, leaving 1 lone pair.


  • The 4 electron domains arrange tetrahedrally to minimize repulsion, but the presence of the lone pair makes the observable molecular shape trigonal pyramidal.


Why other options are incorrect:

  • Option B: Occurs in \( \text{sp} \) hybridized molecules without distorting lone pairs.
  • Option C: Describes the electron domain geometry, but the molecular shape (excluding the invisible lone pair) is pyramidal.
  • Option D: Occurs in \( \text{sp}^2 \) molecules (like \( \text{BF}_3 \)) with no lone pairs.
#52 of 75 MDCAT 2019
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Which one of the following molecules has \( \text{sp}^3 \) hybridization?
A
\( \text{CH}_4 \)
B
\( \text{C}_2\text{H}_2 \)
C
\( \text{C}_2\text{H}_4 \)
D
\( \text{CO}_2 \)
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

Hybridization is determined by the number of sigma bonds and lone pairs on the central atom.

Formula:

$$ \text{Steric Number} = (\sigma \text{ bonds}) + (\text{lone pairs}) $$

Solution:

  • In methane (\( \text{CH}_4 \)), Carbon forms 4 sigma bonds and has 0 lone pairs.


  • Steric number = 4, which perfectly corresponds to \( \text{sp}^3 \) hybridization (mixing one s and three p orbitals).


Why other options are incorrect:

  • Option B: Ethyne (\( \text{C}_2\text{H}_2 \)) has a triple bond, making its carbons \( \text{sp} \) hybridized.
  • Option C: Ethene (\( \text{C}_2\text{H}_4 \)) has a double bond, making its carbons \( \text{sp}^2 \) hybridized.
  • Option D: Carbon dioxide (\( \text{CO}_2 \)) has two double bonds on the central carbon, making it \( \text{sp} \) hybridized.
#53 of 75 SET 2019
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According to the Lewis Concept, ammonia is a lone pair donor, therefore easily accepts a proton to form an ammonium ion as given by an equation:

$$ \text{NH}_{3(g)} + \text{H}^+_{(aq)} \longrightarrow \text{NH}^{+}_{4(aq)} $$
A
H-N-H bond angle decrease from 180° to 109.5°
B
H-N-H bond angle decrease from 107° to 104.5°
C
H-N-H bond angle increase from 107° to 109.5°
D
H-N-H bond angle decrease from 109.5° to 120°
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

Removing a lone pair by converting it into a bonding pair removes the strong LP-BP repulsion, allowing the molecule's bond angles to expand to their ideal geometric state.

Formula:

$$ \text{Angle}_{(\text{NH}_3)} = 107^{\circ} \longrightarrow \text{Angle}_{(\text{NH}_4^+)} = 109.5^{\circ} $$

Solution:

  • In ammonia (\( \text{NH}_3 \)), the nitrogen has 3 bond pairs and 1 lone pair. The lone pair repels the bonds strongly, compressing the angle to 107°.


  • When a proton (\( \text{H}^+ \)) attaches, the lone pair becomes a bond pair, forming \( \text{NH}_4^+ \).


  • The ion now has 4 identical bond pairs and 0 lone pairs. It assumes a perfect tetrahedral geometry with angles of exactly 109.5°.


Why other options are incorrect:

  • Option A, Option B, Option D: These state incorrect initial angles or falsely claim the angle decreases. The angle must increase because the compressing force of the lone pair is neutralized.
#54 of 75 NUMS 2019
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Which of the following molecule has zero dipole moment?
A
\( \text{PCl}_3 \)
B
\( \text{BF}_3 \)
C
\( \text{NH}_3 \)
D
\( \text{H}_2\text{O} \)
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

A molecule has a zero dipole moment if it is highly symmetrical and lacks lone pairs on its central atom, causing all individual bond dipoles to cancel each other out.

Formula:

$$ \mu = 0 \text{ for perfectly symmetrical molecules.} $$

Solution:

  • Boron trifluoride (\( \text{BF}_3 \)) has \( \text{sp}^2 \) hybridization, giving it a flat, trigonal planar geometry.


  • Boron has no lone pairs to distort the symmetry.


  • The three polar B-F bonds pull equally at 120° angles, resulting in a net vector sum (dipole moment) of zero.


Why other options are incorrect:

  • Option A, Option C, Option D: \( \text{PCl}_3 \), \( \text{NH}_3 \), and \( \text{H}_2\text{O} \) all possess lone pairs on their central atoms, which creates asymmetry and results in a net, non-zero dipole moment.
#55 of 75 SET 2019
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Among the following molecules, which one has coordinate covalent (dative) bond?
A
\( \text{CCl}_4 \)
B
\( \text{CO} \)
C
\( \text{CO}_2 \)
D
\( \text{CH}_4 \)
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

A coordinate covalent (dative) bond is formed when one atom provides both electrons for a shared pair to complete the octet of another atom.

Formula:

$$ :\text{C} \equiv \text{O}: $$

Solution:

  • In Carbon Monoxide (CO), Carbon has 4 valence electrons and Oxygen has 6.


  • They form two normal covalent bonds, giving Oxygen 8 electrons (stable), but Carbon only has 6.


  • To stabilize Carbon, Oxygen donates a lone pair to form a third bond (a coordinate covalent bond). Thus, CO possesses a triple bond: two normal and one dative.


Why other options are incorrect:

  • Option A, Option C, Option D: All atoms in these molecules complete their octets through standard mutual sharing of electrons. No lone pair donation is required.
#56 of 75 NUMS 2019
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Which of the following molecule has zero dipole moment?
A
\( \text{PCl}_3 \)
B
\( \text{BF}_3 \)
C
\( \text{NH}_3 \)
D
\( \text{H}_2\text{O} \)
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Dipole moments cancel out entirely in highly symmetrical molecules lacking lone pairs on the central atom.

Formula:

$$ \text{Net Dipole } (\mu) = 0 $$

Solution:

  • As established, Boron trifluoride (\( \text{BF}_3 \)) has perfectly symmetrical trigonal planar geometry.


  • Because all B-F bonds are identical and spaced equally at 120°, their individual dipole vectors cancel completely.


Why other options are incorrect:

  • Option A, Option C, Option D: All possess lone pairs on the central atom, creating asymmetric shapes (pyramidal and bent) that prevent dipole cancellation.
#57 of 75 NUMS 2019
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For formation of ionic bond, electronegativity difference should be:
A
Equal to zero
B
Equal to 0.5
C
More than 1.7
D
Less than 1.7
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

The nature of a bond (ionic vs. covalent) is determined by the difference in electronegativity (\( \Delta \text{EN} \)) between the two bonding atoms.

Formula:

$$ \Delta \text{EN} > 1.7 \implies \text{Ionic Bond predominantly} $$

Solution:

  • If the difference is greater than 1.7, the more electronegative atom will effectively strip the electron completely away from the less electronegative atom, forming ions.


  • This results in electrostatic attraction, forming an ionic bond (usually >50% ionic character).


Why other options are incorrect:

  • Option A & Option B: Indicate non-polar covalent bonds (equal or nearly equal sharing).
  • Option D: Represents a polar covalent bond, where electrons are shared unequally but not fully transferred.
#58 of 75 ETEA 2019
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A molecule which contains two lone pairs and two bond pairs of electrons in valence shell of central atom, geometrical shape of molecules will be:
A
Tetrahedral
B
Trigonal pyramidal
C
Angular
D
Linear
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

A molecule with 4 total electron domains (2 bond pairs, 2 lone pairs) is based on a tetrahedral electron geometry.

Formula:

$$ \text{Type} = \text{AB}_2\text{E}_2 \implies \text{Bent / Angular} $$

Solution:

  • The central atom is \( \text{sp}^3 \) hybridized.


  • The two bulky lone pairs strongly repel each other and the bond pairs, squeezing the bond angle (e.g., in water \( \text{H}_2\text{O} \), from 109.5° down to 104.5°).


  • Because molecular shape is determined only by the positions of the atoms, the resulting shape is angular (bent).


Why other options are incorrect:

  • Option A: Requires 4 bond pairs and 0 lone pairs.
  • Option B: Requires 3 bond pairs and 1 lone pair.
  • Option D: Requires no lone pairs interfering with the bonds.
#59 of 75 ETEA 2019
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\( \text{Fe}^{+2} \) will form the most ionic bond with:
A
\( \text{N}^{-3} \)
B
\( \text{Sn}^{-3} \)
C
\( \text{P}^{-3} \)
D
\( \text{F}^{-1} \)
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

The ionic character of a bond is directly proportional to the difference in electronegativity between the metal cation and the non-metal anion.

Formula:

$$ \text{Max } \Delta\text{EN} = \text{Most Ionic Character} $$

Solution:

  • Fluorine (\( \text{F}^{-1} \)) is the most electronegative element in the periodic table (EN = 4.0).


  • The difference in electronegativity between Iron and Fluorine will be the largest possible among the given choices.


  • Therefore, the bond between \( \text{Fe}^{+2} \) and \( \text{F}^{-1} \) will exhibit the highest percentage of ionic character.


Why other options are incorrect:

  • Option A, Option B, Option C: Nitrogen, Tin, and Phosphorus have significantly lower electronegativities than Fluorine, resulting in bonds with higher covalent character.
#60 of 75 ETEA 2019
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The bond angle in \( \text{H}_2\text{S} \) is less than \( \text{H}_2\text{O} \). It is due to:
A
Small size of oxygen atom
B
Greater E.N of oxygen atom
C
Oxygen contain two lone pairs of electrons
D
All of the above
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

When the central atom is highly electronegative, bond pairs are pulled closer to the central nucleus. This causes strong bond pair-bond pair (BP-BP) repulsion, which forces the bond angle to widen.

Formula:

$$ \text{Bond Angle} \propto \text{Electronegativity of Central Atom} $$

Solution:

  • Oxygen (EN = 3.5) is much more electronegative than Sulfur (EN = 2.5).


  • In \( \text{H}_2\text{O} \), the bonding electrons are pulled very close to the Oxygen nucleus. Because they are confined in a tight space, they repel each other strongly, keeping the angle relatively wide (104.5°).


  • In \( \text{H}_2\text{S} \), the bonding electrons are further from the Sulfur nucleus. The BP-BP repulsion is weaker, allowing the lone pairs to crush the bond angle down to about 92°.


Why other options are incorrect:

  • Option A: Size plays a role, but electronegativity is the direct electronic driver of the bond pair positioning.
  • Option C: Both Oxygen and Sulfur contain two lone pairs, so this is not the distinguishing factor.
#61 of 75 MDCAT 2018
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Which option show all the molecules with bond angle 109.5°?
A
\( \text{SiCl}_4, \text{NH}_4^+, \text{CH}_4 \)
B
\( \text{SiCl}_4, \text{H}_2\text{O}, \text{BeCl}_2 \)
C
\( \text{CH}_4, \text{CCl}_4, \text{NH}_3 \)
D
\( \text{CH}_4, \text{NH}_4^+, \text{PH}_3 \)
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

A perfect bond angle of 109.5° occurs in molecules with a regular tetrahedral geometry, which requires \( \text{sp}^3 \) hybridization and zero lone pairs on the central atom.

Formula:

$$ \text{Geometry} = \text{Tetrahedral } (\text{AB}_4) $$

Solution:

  • \( \text{SiCl}_4 \), \( \text{NH}_4^+ \), and \( \text{CH}_4 \) all feature a central atom with exactly 4 bond pairs and 0 lone pairs.


  • Because there are no lone pairs to compress the bond angles, the geometry is a perfectly symmetrical tetrahedron.


  • The resulting bond angle in all three species is exactly 109.5°.


Why other options are incorrect:

  • Option B: \( \text{H}_2\text{O} \) has an angle of 104.5°, and \( \text{BeCl}_2 \) is 180°.
  • Option C: \( \text{NH}_3 \) has one lone pair, compressing its angle to 107.5°.
  • Option D: \( \text{PH}_3 \) has one lone pair, making its angle even smaller than ammonia.
#62 of 75 MDCAT 2018
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Which of the following molecule has largest number of shared pair electrons?
A
\( \text{NH}_3 \)
B
\( \text{CO}_2 \)
C
\( \text{C}_2\text{H}_4 \)
D
\( \text{N}_2 \)
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

The number of shared electron pairs equals the total number of covalent bonds (both sigma and pi) in the molecule.

Formula:

$$ \text{Shared Pairs} = \text{Total Bonds} $$

Solution:

  • \( \text{NH}_3 \): 3 single bonds = 3 shared pairs.


  • \( \text{CO}_2 \) (\( \text{O=C=O} \)): 2 double bonds = 4 shared pairs.


  • \( \text{N}_2 \) (\( \text{N} \equiv \text{N} \)): 1 triple bond = 3 shared pairs.


  • \( \text{C}_2\text{H}_4 \) (Ethene): 4 C-H single bonds + 1 C=C double bond = 6 covalent bonds = 6 shared pairs.


Why other options are incorrect:

  • Option A, Option B, Option D: These molecules possess fewer total bonds, hence fewer shared pairs compared to ethene.
#63 of 75 MDCAT 2017
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Observe the given dot and cross structures for the following molecules or ionic species. The co-ordinate covalent bond exists between:

N H H H
A
N and C atoms in structure III and IV
B
N and one H ion in all four structure
C
N and Cl atoms of structure II
D
N and N atoms of structure I
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

A coordinate covalent (dative) bond forms when one atom provides both electrons for a shared pair.

Formula:

$$ \text{NH}_3 + \text{H}^+ \longrightarrow \text{NH}_4^+ $$

Solution:

  • In all four illustrated structures, the core species is the ammonium ion (\( \text{NH}_4^+ \)).


  • The nitrogen atom in ammonia (\( \text{NH}_3 \)) has one lone pair.


  • Nitrogen donates this lone pair to an empty 1s orbital of a hydrogen ion (\( \text{H}^+ \)), forming a coordinate covalent bond between N and H.


Why other options are incorrect:

  • Option A, C & D: These do not accurately describe the dative bond formation, which exclusively occurs between the central Nitrogen and the incoming Hydrogen ion.
#64 of 75 MDCAT 2017
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What is the exact value of angle in \( \text{BF}_3 \)?
A
90°
B
104.5°
C
119.5°
D
120°
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

The geometry of a molecule is determined by the number of electron domains around its central atom (VSEPR theory).

Formula:

$$ \text{Hybridization of B in BF}_3 = \text{sp}^2 $$

Solution:

  • Boron trifluoride (\( \text{BF}_3 \)) belongs to the \( \text{AB}_3 \) type molecule.


  • The central boron atom has 3 bond pairs and 0 lone pairs.


  • This results in a perfect trigonal planar geometry, distributing the domains evenly to minimize repulsion.


  • The circle (360°) divided evenly among 3 domains yields exactly 120°.


Why other options are incorrect:

  • Option A: Associated with octahedral or square planar geometries.
  • Option B: Bond angle for water (\( \text{H}_2\text{O} \)) due to 2 lone pairs.
  • Option C: Represents slight compression seen in structures with double bonds (like alkenes), not a symmetrical \( \text{AB}_3 \) molecule.
#65 of 75 MDCAT 2017
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pi-bond is formed by sideways overlap of:
A
s-orbital
B
d-orbital
C
p-orbital
D
None of these
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

A pi (\( \pi \)) bond is formed by the lateral (sideways or parallel) overlap of unhybridized atomic orbitals.

Formula:

$$ \pi \text{ bond} = \text{Parallel overlap of } p\text{-orbitals} $$

Solution:

  • An s-orbital is spherical and can only participate in head-on (sigma) overlaps.


  • p-orbitals are dumbbell-shaped. When two parallel p-orbitals are adjacent, they can overlap sideways above and below the internuclear axis to form a pi-bond.


Why other options are incorrect:

  • Option A: Spherical s-orbitals cannot overlap sideways.
  • Option B: While d-orbitals can form pi bonds in transition metals, p-orbital overlap is the fundamental and primary answer expected in standard organic and basic inorganic chemistry contexts.
#66 of 75 MDCAT 2016
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Choose the right molecule for the given dot and cross diagram (a central atom sharing three electron pairs and possessing one lone pair):

XHHHxxx
A
\( \text{CH}_3 \)
B
\( \text{H}_2\text{O} \)
C
\( \text{CO} \)
D
\( \text{NH}_3 \)
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

The structure of a molecule can be deduced by counting the number of bond pairs and lone pairs on the central atom.

Formula:

$$ \text{Total pairs} = \text{Bond Pairs} (BP) + \text{Lone Pairs} (LP) $$

Solution:

  • The central atom shares three electrons with three surrounding atoms (3 bond pairs).


  • It has one unshared pair of electrons (1 lone pair).


  • Nitrogen in ammonia (\( \text{NH}_3 \)) has 5 valence electrons: 3 are shared with hydrogen, leaving 1 lone pair.


Why other options are incorrect:

  • Option A: \( \text{CH}_3 \) is a radical and lacks a stable octet.
  • Option B: Water (\( \text{H}_2\text{O} \)) has 2 bond pairs and 2 lone pairs.
  • Option C: Carbon monoxide (CO) involves a triple bond and a different electron arrangement.
#67 of 75 MDCAT 2016
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Count the number of \( \sigma \) (sigma) bonds and \( \pi \) (pi) bonds in the molecule of Ethene \( \left( \text{H}_2\text{C}=\text{CH}_2 \right) \):
A
1 \( \pi \) and 5 \( \sigma \) bonds
B
3 \( \pi \) and 3 \( \sigma \) bonds
C
2 \( \pi \) and 4 \( \sigma \) bonds
D
6 \( \pi \) and 6 \( \sigma \) bonds
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

Every single bond is a sigma (\( \sigma \)) bond, and every double bond consists of one \( \sigma \) bond and one pi (\( \pi \)) bond.

Formula:

$$ \text{Total Bonds} = 4 \times (\text{C-H}) + 1 \times (\text{C=C}) $$

Solution:

  • There are 4 Carbon-Hydrogen single bonds, contributing 4 \( \sigma \) bonds.


  • There is 1 Carbon-Carbon double bond. This contributes 1 \( \sigma \) bond and 1 \( \pi \) bond.


  • Total \( \sigma \) bonds = \( 4 + 1 = 5 \).


  • Total \( \pi \) bonds = 1.


Why other options are incorrect:

  • Option B, Option C, Option D: These incorrectly count the fundamental bond types, likely confusing the number of electrons (a double bond has 4 electrons) with the number of discrete bonds.
#68 of 75 ETEA 2016
Permalink
What will be the shape of a molecule which contains two sigma bond pairs and one lone pair?
A
Linear
B
V shape
C
Tetragonal
D
Triangular
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

The geometry of a molecule with 3 total electron domains (2 bond pairs, 1 lone pair) is derived from a trigonal planar arrangement.

Formula:

$$ \text{Type} = \text{AB}_2\text{E} \implies \text{Bent / V-shape} $$

Solution:

  • The central atom is \( \text{sp}^2 \) hybridized because it has 3 electron domains.


  • The lone pair exerts a strong repulsive force on the two sigma bond pairs, pushing them downward.


  • The resulting visible geometry (ignoring the invisible lone pair) is an angular, bent, or V-shape (e.g., \( \text{SO}_2 \), \( \text{SnCl}_2 \)).


Why other options are incorrect:

  • Option A: Requires 2 bond pairs and 0 lone pairs.
  • Option C: Not a standard simple VSEPR geometry term.
  • Option D: Requires 3 bond pairs and 0 lone pairs.
#69 of 75 MDCAT 2015
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Which one of the following is the correct dot and cross diagram of bonding between two chlorine atoms?
A
\( :\ddot{\text{Cl}}\cdot + \cdot\ddot{\text{Cl}}: \longrightarrow :\ddot{\text{Cl}}\cdot\ddot{\text{Cl}}: \)
B
\( :\ddot{\text{Cl}}\cdot + \cdot\ddot{\text{Cl}}: \longrightarrow :\ddot{\text{Cl}}:\ddot{\text{Cl}}: \)
C
\( \text{Cl}^+ + \text{Cl}^- \longrightarrow \text{Cl} + \text{Cl} \)
D
\( :\ddot{\text{Cl}}\cdot + \cdot\ddot{\text{Cl}}: \longrightarrow \text{Cl}^+ + \text{Cl}^- \)
View Answer & Propolis Autopsy
Correct Key: Option B Diagnostic Explanation
Concept:

Covalent bonding occurs when non-metal atoms share electron pairs to achieve a stable octet configuration.

Formula:

$$ \text{Cl} + \text{Cl} \longrightarrow \text{Cl}_2 $$

Solution:

  • Each chlorine atom (Group VIIA) has 7 valence electrons.


  • To complete its octet, each chlorine atom needs 1 more electron.


  • They share one unpaired electron with each other, forming a single covalent bond (represented by a shared pair ` : `).


Why other options are incorrect:

  • Option A: Shows incorrect sharing notation.
  • Option C & Option D: Represent ionic bonding, which does not occur between two identical halogen atoms.
#70 of 75 MDCAT 2014
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When the two partially filled atomic orbital overlap in such a way that the probability of finding the electron is maximum around the line joining the two nuclei, the result is the formation of:
A
Sigma bond
B
Hydrogen bond
C
Pi-bond
D
Metallic bond
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

A sigma (\( \sigma \)) bond is formed by the direct, head-to-head (axial) overlap of atomic orbitals.

Formula:

$$ \text{Electron density is concentrated along the internuclear axis.} $$

Solution:

  • Because the overlap occurs exactly between the two nuclei, the resulting electron density is symmetrically distributed around the internuclear axis.


  • This direct overlap produces the strongest type of covalent bond, called a Sigma bond.


Why other options are incorrect:

  • Option B & Option D: These represent entirely different bonding paradigms (intermolecular and metallic sea of electrons, respectively).
  • Option C: In a pi-bond, the probability of finding electrons is maximum above and below the internuclear axis (sideways overlap), not directly on the line joining the nuclei.
#71 of 75 MDCAT 2013
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According to Valence shell electron pair repulsion theory, the repulsive forces between the electron pairs of central atom of a molecule are in the order:
A
Lone pair-bond pair > Lone pair-Lone pair
B
Bond pair-Bond pair > Lone pair-Lone pair > Lone pair-Bond pair
C
Lone pair-Bond pair > Bond pair-Bond pair > Lone pair-Lone pair
D
Lone pair-Lone pair > Lone pair-Bond pair > Bond pair-Bond pair
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

The VSEPR theory states that electron pairs around a central atom repel each other, and lone pairs exert a stronger repulsive force than bond pairs because they are held closer to the central nucleus.

Formula:

$$ \text{Repulsion Order: LP-LP} > \text{LP-BP} > \text{BP-BP} $$

Solution:

  • Lone pairs (LP) occupy more space in the electron cloud because they are attracted to only one nucleus.


  • Bond pairs (BP) are stretched between two nuclei, making their electron cloud more concentrated and exerting less repulsion.


  • Therefore, two lone pairs repel each other the most, while two bond pairs repel each other the least.


Why other options are incorrect:

  • Option A, Option B, Option C: These options invert or scramble the correct descending order of repulsive strength defined by VSEPR theory.
#72 of 75 MDCAT 2012
Permalink
The angle between un-hybridized p-orbital and three \( \text{sp}^2 \) hybrid orbitals of each carbon atom is:
A
120°
B
109.5°
C
90°
D
180°
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

In \( \text{sp}^2 \) hybridization, three hybrid orbitals form a planar trigonal structure, and the remaining unhybridized p-orbital is situated perpendicular to this plane.

Formula:

$$ \text{sp}^2 \text{ plane} \perp \text{unhybridized } p_z \text{ orbital} $$

Solution:

  • The three \( \text{sp}^2 \) hybrid orbitals arrange themselves in a flat plane with 120° angles between them.


  • The unhybridized p-orbital (which will be used to form a pi bond) stands straight up and down, piercing the center of this plane.


  • Thus, the angle between the flat plane (the hybrid orbitals) and the unhybridized p-orbital is exactly 90°.


Why other options are incorrect:

  • Option A: 120° is the angle between the \( \text{sp}^2 \) hybrid orbitals themselves.
  • Option B & Option D: Correspond to tetrahedral and linear geometries, respectively.
#73 of 75 MDCAT 2012
Permalink
In 'H-F' bond, electronegativity difference is 2.0. What is the type of this bond?
A
Polar covalent bond
B
pi (\( \pi \)) bond
C
Non-polar covalent bond
D
Co-ordinate covalent bond
View Answer & Propolis Autopsy
Correct Key: Option A Diagnostic Explanation
Concept:

Bond polarity is determined by the electronegativity difference (\( \Delta \text{E.N.} \)) between the two bonded atoms. However, bonding in Hydrogen Halides acts slightly unusually due to their molecular nature.

Formula:

$$ \Delta \text{E.N.} = 4.0 (\text{F}) - 2.1 (\text{H}) = 1.9 \approx 2.0 $$

Solution:

  • Generally, an electronegativity difference > 1.7 suggests an ionic bond.


  • However, HF is a distinct exception. It exists as discrete molecules and is a gas at room temperature, which are characteristic properties of covalent compounds.


  • Therefore, despite the large electronegativity difference, HF strictly forms a highly polar covalent bond (with significant ionic character, but primarily covalent).


Why other options are incorrect:

It is not non-polar (as electrons are unequal). It is a sigma bond, not a pi bond. It forms via mutual sharing, not through the dative donation of a lone pair.
#74 of 75 MDCAT 2010
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The number of bonds in nitrogen molecule (\( \text{N}_2 \)) is:
A
One \( \sigma \) and one \( \pi \)
B
Three \( \sigma \) only
C
One \( \sigma \) and two \( \pi \)
D
Two \( \sigma \) and one \( \pi \)
View Answer & Propolis Autopsy
Correct Key: Option C Diagnostic Explanation
Concept:

Diatomic nitrogen contains a triple bond. A multiple bond always consists of exactly one sigma (\( \sigma \)) bond, with the remainder being pi (\( \pi \)) bonds.

Formula:

$$ \text{N} \equiv \text{N} $$

Solution:

  • To satisfy their octets, two Nitrogen atoms (Group VA, 5 valence electrons) share 3 pairs of electrons.


  • The first bond formed directly between the nuclei is a strong \( \sigma \) bond due to head-on overlap.


  • The second and third bonds are formed by the sideways overlap of unhybridized p-orbitals, creating two \( \pi \) bonds.


Why other options are incorrect:

  • Option A: Describes a double bond (e.g., in \( \text{O}_2 \)).
  • Option B & Option D: Are physically impossible between two single atoms.
#75 of 75 MDCAT 2010
Permalink
Which one of the following has zero dipole moment:
A
\( \text{NH}_3 \)
B
\( \text{H}_2\text{O} \)
C
\( \text{CHCl}_3 \)
D
\( \text{BF}_3 \)
View Answer & Propolis Autopsy
Correct Key: Option D Diagnostic Explanation
Concept:

A zero dipole moment requires complete molecular symmetry so that all bond vectors cancel out perfectly.

Formula:

$$ \vec{\mu}_{\text{net}} = \sum \vec{\mu}_{\text{bonds}} $$

Solution:

  • \( \text{BF}_3 \) is a trigonal planar molecule with no lone pairs on the central Boron atom.


  • The pull of the three highly electronegative Fluorine atoms is perfectly balanced in 2D space, making it a non-polar molecule with a zero dipole moment.


Why other options are incorrect:

  • Option A & Option B: Have lone pairs that destroy symmetry.
  • Option C: \( \text{CHCl}_3 \) has tetrahedral geometry, but because the atoms attached to Carbon are not all identical (one H, three Cl's), the bond dipoles do not cancel, leaving a net dipole.
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