PART II : CHEMISTRY
SECTION 1
• This section contains SEVEN questions
• Each question has FOUR options [A], [B], [C] and [D]. ONE OR MORE THAN ONE of these four options is(are) correct.
1. An ideal gas is expanded from (p1, V1, T1) to (p2, V2, T2) under different conditions. The correct statement(s) among the following is(are)
(A) The work done on the gas is maximum when it is compressed irreversibly from (p2, V2) to (p1, V1) against constant pressure p1
(B) If the expansion is carried out freely, it is simultaneously both isothermal as well as adiabatic
(C) The work done by the gas is less when it is expanded reversibly from V1 to V2 under adiabatic conditions as compared to that when expanded reversibly from V1 to V2 under isothermal conditions
(D) The change in internal energy of the gas is (i) zero, if it is expanded reversibly with T1 = T2, and (ii) positive, if it is expanded reversibly under adiabatic conditions with T1 ≠ T2
2. For a solution formed by mixing liquids L and M, the vapour pressure of L plotted against the mole fraction of M in solution is shown in the following figure. Here xL and xM represent mole fractions of L and M, respectively, in the solution. The correct statement(s) applicable to this system is(are)
(A) The point Z represents vapour pressure of pure liquid M and Raoult’s law is obeyed from xL = 0 to xL = 1
(B) The point Z represents vapour pressure of pure liquid L and Raoult’s law is obeyed when xL → 1
(C) The point Z represents vapour pressure of pure liquid M and Raoult’s law is obeyed when xL → 1
(D) Attractive intermolecular interactions between L-L in pure liquid L and M-M in pure liquid M are stronger than those between L-M when mixed in solution
3. The correct statement(s) about the oxoacids, HClO4 and HClO, is(are)
(A) The central atom in both HClO4 and HClO is sp3 hybridized
(B) HClO4 is more acidic than HClO because of the resonance stabilization of its anion
(C) HClO4 is formed in the reaction between Cl2 and H2O
(D) The conjugate base of HClO4 is weaker base than H2O
4. The colour of the X2 molecules of group 17 elements changes gradually from yellow to violet down the group. This is due to
(A) the physical state of X2 at room temperature changes from gas to solid down the group
(B) decrease in ionization energy down the group
(C) decrease in π*-σ* gap down the group
(D) decrease in HOMO-LUMO gap down the group
5. Addition of excess aqueous ammonia to a pink coloured aqueous solution of MCl26H2O (X) and NH4Cl gives an octahedral complex Y in the presence of air. In aqueous solution, complex Y behaves as 1:3 electrolyte. The reaction of X with excess HCl at room temperature results in the formation of a blue coloured complex Z. The calculated spin only magnetic moment of X and Z is 3.87 B.M., whereas it is zero for complex Y. Among the following options, which statement(s) is(are) correct?
(A) Addition of silver nitrate to Y gives only two equivalents of silver chloride
(B) The hybridization of the central metal ion in Y is d2sp3
(C) Z is a tetrahedral complex
(D) When X and Z are in equilibrium at 0°C, the colour of the solution is pink
6. The IUPAC name(s) of the following compound is(are)
(A) 1-chloro-4-methylbenzene
(B) 4-chlorotoluene
(C) 4-methylchlorobenzene
(D) 1-methyl-4-chlorobenzene
7. The correct statement(s) for the following addition reactions is(are)
(A) O and P are identical molecules
(B) (M and O) and (N and P) are two pairs of diastereomers
(C) (M and O) and (N and P) are two pairs of enantiomers
(D) Bromination proceeds through trans-addition in both the reactions
SECTION-2
• This section contains FIVE questions
• The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9, both inclusive
8.A crystalline solid of a pure substance has a face-centred cubic structure with a cell edge of 400 pm. If the density of the substance in the crystal is 8 g cm−3, then the number of atoms present in 256 g of the crystal is N × 1024. The value of N is
9. The conductance of a 0.0015 M aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized Pt electrodes. The distance between the electrodes is 120 cm with an area of cross section of 1 cm2. The conductance of this solution was found to be 5 × 10−7 The pH of the solution is 4. The value of limiting molar conductivity 
of this weak monobasic acid in aqueous solution is Z × 102 s cm−1 mol−1. The value of Z is
10. The sum of the number of lone pairs of electrons on each central atom in the following species is
[TeBr6]2−, [BrF2]+, SNF3 and [XeF3]−
(Atomic number: N = 7, F = 9, S = 16, Br = 35, Te = 52, Xe = 54)
11. Among H2, He2+, Li2, Be2, B2, C2 N2, O2− and F2, the number of diamagnetic species is (Atomic numbers : H = 1, He = 2, Li = 3, Be = 4, B = 5, C = 6, N = 7, O = 8, F = 9)
12. Among the following, the number of aromatic compound(s) is
SECTION-3
• This section contains SIX questions of matching type
• This section contains TWO tables (each having 3 columns and 4 rows)
• Based on each table, there are THREE questions
• Each question has FOUR options [A], [B], [C], and [D]. ONLY ONE of these four options is correct
Answer Q.13, Q.14 and Q.15 by appropriately matching the information given in the three columns of the following table.
13. For the given orbital in Column 1, the only CORRECT combination for any hydrogen-like species is
(A) (I) (ii) (S)
(B) (IV) (iv) (R)
(C) (II) (ii) (P)
(D) (III) (iii) (P)
14. For hydrogen atom, the only CORRECT combination is
(A) (I) (i) (S)
(B) (II) (i) (Q)
(C) (I) (i) (P)
(D) (I) (iv) (R)
15. For He+ ion, the only INCORRECT combination is
(A) (I) (i) (R)
(B) (II) (ii) (Q)
(C) (I) (iii) (R)
(D) (I) (i) (S)
Answer Q.16, Q.17 and Q.18 by appropriately matching the information given in the three columns of the following table
16. For the synthesis of benzoic acid, the only CORRECT combination is
(A) (II) (i) (S)
(B) (IV) (ii) (P)
(C) (I) (iv) (Q)
(D) (III) (iv) (R)
17. The only CORRECT combination that gives two different carboxylic acids is
(A) (II) (iv) (R)
(B) (IV) (iii) (Q)
(C) (III) (iii) (P)
(D) (I) (i) (S)
18. The only CORRECT combination in which the reaction proceeds through radical mechanism is
(A) (III) (ii) (P)
(B) (IV) (i) (Q)
(C) (II) (iii) (R)
(D) (I) (ii) (R)
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