Part I : Chemistry
Section-I
Single Correct Choice Type
This section contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out which ONLY ONE is correct.
1. For a first order reaction A → P, the temperature (T) dependent rate constant (k) was found to follow the equation w The pre-exponential factor A and the activation energy Ea, respectively, are
(A) 1.0 × 106 s−1 and 9.2 kJmol−1
(B) 6.0 s−1 and 16.6 kJmol−1
(C) 1.0 × 106 s−1 and 16.6 kJmol−1
(D) 1.0 × 106 s−1 and 38.3 kJmol−1
2. The spin only magnetic moment value (in Bohr magneton units) of Cr(CO)6 is
(A) 0
(B) 2.84
(C) 4.90
(D) 5.92
3. In the following carbocation. H/CH3 that is most likely to migrate to the positively charged carbon is
(A) CH3 at −4
(B) H at C-4
(C) CH3 at C-2
(D) H at C-2
4. The correct stability order of the following resonance structures is
(A) (I) > (II) > (IV) > (III)
(B) (I) > (III) > (II) > (IV)
(C) (II) > (I) > (III) > (IV)
(D) (III) > (I) > (IV) > (II)
SECTION-II
Multiple Correct Choice Type
This section contains 5 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out which ONE OR MORE is/are correct.
5. For the reduction of ion in an aqueous solution, E0 is +0.96 V. Values of E0 for some metal ions are given below
V2+ (aq) + 2e− →V E0 = −1.19 V
Fe3+ (aq) + 3e− →Fe E0 = −0.04 V
Au3+ (aq) + 3e− →Au E0 = +1.40 V
Hg2+ (aq) + 2e− →Hg E0 = +0.86 V
The pair(s) of metals that is(are) oxidized by in aqueous solution is(are)
(A) V and Hg
(B) Hg and Fe
(C) Fe and Au
(D) Fe and V
6. Among the following, the state function(s) is(are)
(A) Internal energy
(B) Irreversible expansion work
(C) Reversible expansion work
(D) Molar enthalpy
7. In the reaction
2X + B2H6 → [BH2(X)2]+[BH4]−
the amine(s) X is (are)
(A) NH3
(B) CH3NH2
(C) (CH3)2NH
(D) (CH3)3N
8. The nitrogen oxide(s) that contain(s) N−N bond(s) is(are)
(A) N2O
(B) N2O3
(C) N2O4
(D) N2O5
9. The correct statement(s) about the following sugars X and Y is(are)
(A) X is a reducing sugar and Y is a non-reducing sugar
(B) X is a non-reducing sugar and Y is a reducing sugar
(C) The glucosidic linkages in X and Y are α and β, respectively
(D) The glucosidic linkages in X and Y are β and α, respectively
SECTION – III
Matrix – Match Type
This section contains 2 questions. Each question contains statements given in two columns, which have to be matched. The statements in Column I are labelled A, B, C and D, while the statements in Column II are labelled p, q, r, s and t. Any given statement in Column I can have correct matching with ONE OR MORE statement(s) in Column II.
10. Match each of the reactions given in Column I with the corresponding product(s) given in Column II.
(A) ((A – p, s) (B – q, s) (C – r, t) (D – q, t))
(B) ((A – r, t) (B – p, t) (C – s, p) (D – r, s))
(C) ((A – r, p) (B – q, t) (C – s, p) (D – r, p))
(D) ((A – t, r) (B – p, r) (C – q, p) (D – s, r))
11. Match each of the compounds given in Column I with the reaction(s), that they can undergo given in Column II.
(A) ((A – r, s, q) (B – r, p, q) (C – p, t) (D – r))
(B) ((A – p, q, t) (B – p, s, t) (C – r, s) (D – p))
(C) ((A – s, t, r) (B – q, p, r) (C – s, q) (D – t))
(D) ((A – t, s, q) (B – r, q, p) (C – p, t) (D – s))
SECTION – IV
Integer Answer Type
This section contains 8 questions. The answer to each of the questions is a single digit integer, ranging from 0 to 9.
12. In a constant volume calorimeter, 3.5 g of a gas with molecular weight 28 was burnt in excess oxygen at 298.0 K. The temperature of the calorimeter was found to increase from 298.0 K to 298.45 K due to the combustion process. Given that the heat capacity of the calorimeter is 2.5 kJ K−1, the numerical value for the enthalpy of combustion of the gas in kJmol−1 is
13. At 400 K, the root mean square (rms) speed of a gas X (molecular weight = 40) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is
14. The dissociation constant of a substituted benzoic acid at 25oC is 1.0 × 10−4. The pH of a 0.01 M solution of its sodium salt is
15. The total number of α and β particles emitted in the nuclear reaction is
16. The oxidation number of Mn in the product of alkaline oxidative fusion of MnO2 is
17. The number of water molecule(s) directly bonded to the metal centre in CuSO4 ⋅5H2O is
18. The coordination number of Al in the crystalline state of AlCl3 is
19. The total number of cyclic structural as well as stereo isomers possible for a compound with the molecular formula C5H10 is
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