Q41. The Debye-Hückel Limiting Law Equation is —
A log γ± = −0.509 z₊z₋ I¹ᐟ²
B log γ± = +0.509 z₊z₋ I¹ᐟ²
C log γ± = +0.509 z₊z₋ I³ᐟ²
D log γ± = −0.509 z₊z₋ I
E Question not attempted
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Correct answer: log γ± = −0.509 z₊z₋ I¹ᐟ²
Q42. The correct plot of variation of probability density [ψ²(r)] as a function of distance (r) of the electron from the nucleus for 2s orbital is —
A Monotonic decay from non-zero value at r=0, no radial node
B Three positive lobes with two radial nodes
C Starts from zero with two lobes and one radial node
D Non-zero at r=0, one radial node and a smaller outer lobe
E Question not attempted
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Correct answer: Non-zero at r=0, one radial node and a smaller outer lobe
Q43. The ionic strength (I) for 1 M aqueous solution of BaCl₂ would be —
A 1 M
B 2.5 M
C 2 M
D 3 M
E Question not attempted
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Correct answer: 3 M
Q44. Which of the following species is chiral?
A cis-1,4-dimethylcyclohexane
B Glycerol
C trans-cyclooctene
D trans-1,4-dimethylcyclohexane
E Question not attempted
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Correct answer: trans-cyclooctene
Q45. The limiting molar conductivity Λₘ° for NaCl, HCl and NaAc are 126.4 S cm² mol⁻¹, 425.9 S cm² mol⁻¹ and 91.0 S cm² mol⁻¹ respectively (at 298 K in water). What will be Λₘ° for acetic acid?
A 643.3 S cm² mol⁻¹
B 390.5 S cm² mol⁻¹
C 208.5 S cm² mol⁻¹
D 461.3 S cm² mol⁻¹
E Question not attempted
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Correct answer: 390.5 S cm² mol⁻¹
Q46. Identify the major product of the following reaction sequence — neopentyl chloride; (i) Mg/Et₂O, (ii) CO₂, (iii) H₃O⁺ → ?
A 2,2-Dimethylpropanol
B 2,2-Dimethylpropanal
C 2,2-Dimethylpropanoic acid
D Isobutane
E Question not attempted
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Correct answer: 2,2-Dimethylpropanoic acid
Q47. Consider the following enthalpy diagram and related statements — Products are at a higher enthalpy than reactants (ΔᵣH > 0). Statements: (a) Net heat is absorbed during conversion of reactants into products. (b) Such reactions are always non-spontaneous. (c) Entropy change for this kind of processes is always zero. Choose the correct answer —
A Only (b) and (c) are correct
B Only (a) and (b) are correct
C All (a), (b) and (c) are correct
D Only (a) is correct
E Question not attempted
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Correct answer: Only (a) is correct
Q48. Predict the major product of the reaction shown in the question paper — an α,β-unsaturated ketone treated with mCPBA
A Epoxide formed across the C=C bond; ketone carbonyl retained
B Corresponding α-hydroxy ketone
C Unsaturated methyl ester
D Unsaturated acetate/enol-ester product
E Question not attempted
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Correct answer: Epoxide formed across the C=C bond; ketone carbonyl retained
Q49. The standard electrode potentials (E°) for some elements are as follows — Al³⁺/Al = −1.66 V; Sn²⁺/Sn = −0.14 V; Na⁺/Na = −2.71 V; Cu²⁺/Cu = +0.34 V. The correct decreasing order of reducing strength of above elements is —
A Na > Sn > Al > Cu
B Cu > Na > Al > Sn
C Na > Al > Sn > Cu
D Sn > Al > Na > Cu
E Question not attempted
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Correct answer: Na > Al > Sn > Cu
Q50. Identify the compounds A, B and C in the reaction sequence shown in the question paper, respectively — terminal alkyne → A; Ag⁺/alkali → B; Hg²⁺/H₂SO₄ → C
A Iodoform, Propyne, Acetone
B Iodoform, Propane-2-ol, Propanone
C Iodoform, Acetylene, Acetaldehyde
D Iodoform, Ethylene, Ethyl alcohol
E Question not attempted
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Correct answer: Iodoform, Acetylene, Acetaldehyde
Q51. CH₃–C≡CH + H₂O —Hg²⁺/H⁺, 333 K→ A. A in the above reaction is —
A CH₃COCH₃
B CH₃CH₂CH₂OH
C CH₃CH₂CHO
D CH₃CH(OH)CH₃
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Correct answer: CH₃COCH₃
Q52. Match Column-I (Type of Solid) with Column-II (Example) — (A) Network Solid, (B) Metallic Solid, (C) Ionic Solid, (D) Molecular Solid; (i) MgO, (ii) SiC, (iii) Copper, (iv) CO₂. Correct code is —
A (A)-(iv), (B)-(iii), (C)-(i), (D)-(ii)
B (A)-(ii), (B)-(i), (C)-(iii), (D)-(iv)
C (A)-(i), (B)-(iv), (C)-(iii), (D)-(ii)
D (A)-(ii), (B)-(iii), (C)-(i), (D)-(iv)
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Correct answer: (A)-(ii), (B)-(iii), (C)-(i), (D)-(iv)
Q53. When reaction is carried out between sodium chloride and concentrated sulphuric acid, the percentage atom economy for the preparation of HCl is —
A 34%
B 73%
C 66%
D 27%
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Correct answer: 34%
Q54. What would be formed as the major product when N,N-dimethylaniline is treated with NaNO₂ and HCl?
A 2-(Dimethylamino)benzenediazonium chloride
B 2-Nitroso-N,N-dimethylaniline
C 4-(Dimethylamino)benzenediazonium chloride
D 4-Nitroso-N,N-dimethylaniline
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Correct answer: 4-Nitroso-N,N-dimethylaniline
Q55. Which of the following metal ion shows strong Jahn-Teller distortion in its octahedral complexes?
A Cu(II) ion
B Zn(II) ion
C Fe(II) ion
D Ti(II) ion
E Question not attempted
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Correct answer: Cu(II) ion
Q56. If f is the fugacity and P is the pressure of a real gas, then which of the following relations is correct?
A lim(P→∞) f/P = 1
B lim(P→0) f/P = 1
C lim(P→0) f/P = 0
D lim(P→0) f/P = ∞
E Question not attempted
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Correct answer: lim(P→0) f/P = 1
Q57. For the separation of Ln³⁺ ions, ion-exchange chromatography is used. Correct statement/s about this method is/are — (a) The radii of hydrated Ln³⁺ ions increase with increasing atomic number. (b) When HCl is used as an eluent, heavier elements come out first and lighter elements come out last from the column. (c) For better separation citrate solution is used instead of HCl
A All (a), (b) and (c)
B Only (a)
C Only (a) and (c)
D Only (a) and (b)
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Correct answer: All (a), (b) and (c)
Q58. Match Column-I (indicated proton) with Column-II (related chemical shift) and select the correct answer using the code given below. Chemical shifts: (i) δ 2.63, (ii) δ 5.58, (iii) δ 3.45, (iv) δ 7.27. Structures A–D are as shown in the question paper.
A (A)-(iii), (B)-(i), (C)-(ii), (D)-(iv)
B (A)-(iii), (B)-(ii), (C)-(iv), (D)-(i)
C (A)-(i), (B)-(iv), (C)-(iii), (D)-(ii)
D (A)-(i), (B)-(ii), (C)-(iii), (D)-(iv)
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Correct answer: (A)-(iii), (B)-(i), (C)-(ii), (D)-(iv)
Q59. The correct increasing order of energy of 2s orbital of H, Li, Na and K is —
A E₂s(H) < E₂s(Li) < E₂s(K) < E₂s(Na)
B E₂s(K) < E₂s(Na) < E₂s(Li) < E₂s(H)
C E₂s(Na) < E₂s(K) < E₂s(Li) < E₂s(H)
D E₂s(Na) < E₂s(Li) < E₂s(K) < E₂s(H)
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Correct answer: E₂s(K) < E₂s(Na) < E₂s(Li) < E₂s(H)
Q60. The coordination numbers of lithium and carbon in (LiCH₃)₄ cluster are, respectively —
A 7 and 7
B 4 and 4
C 7 and 4
D 4 and 7
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Correct answer: 7 and 7