Q01. The Van’t Hoff factor for 0.1 M Ba(NO₃)₂ solution is 2.74, then the degree of dissociation is —
A 100% B 87% C 74% D 93% E Question not attempted
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Correct answer: 87%
Q02. Which statement is incorrect regarding chemisorption?
A It is irreversible. B It results into multimolecular layers on adsorbent surface. C Highly specific in nature. D Enthalpy of adsorption is high. E Question not attempted
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Correct answer: It results into multimolecular layers on adsorbent surface.
Q03. Consider the following two mixtures A and B — A = mixture of chloroform and acetone; B = mixture of carbon disulfide and acetone. Mixtures A and B show the following deviations from Raoult’s law, respectively —
A Negative and positive B Positive and negative C Negative and negative D Positive and positive E Question not attempted
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Correct answer: Negative and positive
Q04. The half-life period of ⁸⁵Kr is 10 years. How much time will it take for 99% of the ⁸⁵Kr to disintegrate?
A 33.2 years B 66.4 years C 132.8 years D 99.6 years E Question not attempted
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Correct answer: 66.4 years
Q05. The enthalpy of combustion of methane, graphite and dihydrogen at 298 K are −890.3 kJ mol⁻¹, −393.5 kJ mol⁻¹ and −285.8 kJ mol⁻¹ respectively. Enthalpy of formation of CH₄ will be —
A +52.27 kJ mol⁻¹ B +74.8 kJ mol⁻¹ C −52.27 kJ mol⁻¹ D −74.8 kJ mol⁻¹ E Question not attempted
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Correct answer: −74.8 kJ mol⁻¹
Q06. A solution contains three components A, B and C (0.2 mole of each), then the sum of their mole fraction is
A 0.2 B 3.0 C 1.0 D 0.6 E Question not attempted
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Correct answer: 1.0
Q07. The correct expression of the Schrödinger equation for an electron free to move in one dimension is —
A −(ℏ²/2mₑ)(d²ψ/dx²) + V(x)ψ(x) = Eψ(x) B +(ℏ²/2mₑ)(d²ψ/dx²) − V(x)ψ(x) = Eψ(x) C −(ℏ²/2mₑ)(dψ/dx) + V(x)ψ(x) = Eψ(x) D −(2mₑ/ℏ²)(d²ψ/dx²) + V(x)ψ(x) = Eψ(x) E Question not attempted
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Correct answer: −(ℏ²/2mₑ)(d²ψ/dx²) + V(x)ψ(x) = Eψ(x)
Q08. 2x moles of a solute is added to a pure solvent. If the solute forms dimer in the solution with 100% association and the calculated value of elevation in boiling point of the solution (without considering association of solute) is ‘y’ K, then what would be the actual value of elevation in boiling point?
A 2.0 y K B 0.5 y K C 1.0 y K D 1.5 y K E Question not attempted
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Correct answer: 0.5 y K
Q09. Which one of the following elements has the highest first ionization energy?
A H B He C N D Ne E Question not attempted
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Correct answer: He
Q10. Which one of the following compounds is relatively a poor monomer for cationic polymerization?
A CH₂=C(Et)₂ B CH₂=CH–Ph C CH₂=CH–CN D CH₂=C(Me)₂ E Question not attempted
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Correct answer: CH₂=CH–CN
Q11. The rate constant for the second-order decomposition of N₂O follows the equation k = (5.00 × 10¹¹ dm³ mol⁻¹ s⁻¹) exp(−10,000 K/T). The activation energy of the reaction will be —
A 5 × 10¹¹ J mol⁻¹ B 10,000 J mol⁻¹ C 83.14 kJ mol⁻¹ D 8.314 J mol⁻¹ E Question not attempted
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Correct answer: 83.14 kJ mol⁻¹
Q12. In nucleic acids, the sugar units in the furanose form are joined to phosphates through hydroxyl groups of which carbons?
A C₃ and C₅ B C₂ and C₃ C C₁ and C₄ D C₂ and C₄ E Question not attempted
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Correct answer: C₃ and C₅
Q13. What is the major product of the following cycloaddition reaction shown in the question paper?
A Bicyclic cycloadduct: left vertical C=C; upper bridgehead H behind and lower bridgehead H in front B Bicyclic cycloadduct: upper-left C=C; upper bridgehead H behind and lower bridgehead H in front C Bicyclic cycloadduct: upper-left C=C; both bridgehead H atoms in front D Bicyclic cycloadduct: left vertical C=C; both bridgehead H atoms in front E Question not attempted
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Correct answer: Bicyclic cycloadduct: upper-left C=C; both bridgehead H atoms in front
Q14. Among the following species, which one has the shortest bond length?
A NO B NO⁻ C NO₂⁺ D NO⁺ E Question not attempted
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Correct answer: NO⁺
Q15. The correct order of Δ₀ values for the following complexes is — [Co(en)₃]³⁺ = A, [Rh(en)₃]³⁺ = B, [Ir(en)₃]³⁺ = C
A B < A < C B A < B < C C C < A < B D C < B < A E Question not attempted
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Correct answer: A < B < C
Q16. Predict the major product formed in the following organometallic compound catalysed reaction — R₂C=CH₂ + CO + H₂ —HCo(CO)₄, Δ, high P→ ?
A R₂CH–CH₂–COOH B R₂CH–CH₃ C R₂CH–CH₂–CH₂OH D R₂CH–CH₂–CHO E Question not attempted
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Correct answer: R₂CH–CH₂–CHO
Q17. Foam is an example of dispersion of —
A a solid in a solid B a liquid in a liquid C a gas in a liquid D a solid in a liquid E Question not attempted
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Correct answer: a gas in a liquid
Q18. Which of the following expression represents the relation between standard entropy change (ΔS°) and standard EMF of the cell (E°cell)?
A ΔS° = −(1/nF)(∂E°cell/∂P)ᵥ B ΔS° = +(1/nF)(∂E°cell/∂P)ᵥ C ΔS° = nF(∂E°cell/∂T)ₚ D ΔS° = −nF(∂E°cell/∂T)ₚ E Question not attempted
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Correct answer: ΔS° = nF(∂E°cell/∂T)ₚ
Q19. The total number of orbitals associated with the following relation of quantum numbers is — (n + l) = 5
A 9 B 5 C 3 D 8 E Question not attempted
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Correct answer: 9
Q20. Match Column-I (Compounds) with Column-II (Applications) — Column-I: (I) TiO₂, (II) MnO₂, (III) PdCl₂, (IV) V₂O₅. Column-II: (a) Oxidation of SO₂, (b) Wacker process, (c) Dry battery cell, (d) Pigment industry. Correct code is —
A (I)-(a), (II)-(b), (III)-(c), (IV)-(d) B (I)-(d), (II)-(c), (III)-(a), (IV)-(b) C (I)-(b), (II)-(c), (III)-(a), (IV)-(d) D (I)-(d), (II)-(c), (III)-(b), (IV)-(a) E Question not attempted
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Correct answer: (I)-(d), (II)-(c), (III)-(b), (IV)-(a)