Part II : Chemistry

Section-1

• This section contains FIVE questions.

• Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four options is correct.

1. P is the probability of finding the 1s electron of hydrogen atom in a spherical shell of infinitesimal thickness, dr, at a distance r from the nucleus. The volume of this shell is 4 π r² dr. The qualitative sketch of the dependence of P on r is

(A) 

(B) 

(C)  

(D)  

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2. One mole of an ideal gas at 300 K in thermal contact with surroundings expands isothermally from 1.0 L to 2.0 L against a constant pressure of 3.0 atm. In this process, the change in entropy of surroundings (∆S_surr) in JK⁻¹ is (1 L atm = 101.3 J)

(A)   5.763

(B)   1.013

(C)   −1.013

(D)   −5.763

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3. Among [Ni(CO)₄], [NiCl₄]²⁻, [Co(NH₃)_4­Cl₂]Cl, Na₃[CoF₆], Na₂O₂ and CsO₂ the total number of paramagnetic compound is

(A)   2

(B)   3

(C)   4

(D)   5

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4. The increasing order of atomic radii of the following Group 13 elements is

(A)   Al < Ga < In < Tl

(B)   Ga < Al < In < Tl

(C)   Al < In < Ga < Tl

(D)   Al < Ga < Tl < In

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5. On complete hydrogenation, natural rubber produces

(A)   ethylene−propylene copolymer

(B)   vulcanised rubber

(C)   polypropylene

(D)   polybutylene

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Section-2

• This section contains EIGHT questions.

• Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is(are) correct.

6. The product (s) of the following reaction sequence is (are)

(A) 

(B) 

(C) 

(D)  

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7. The correct statement(s) about the following reaction sequence is(are) 

(A)   R is steam volatile

(B)   Q gives dark violet coloration with 1% aqueous FeCl₃ solution

(C)   S gives yellow precipitate with 2, 4-dinitrophenylhydrazine

(D)   S gives dark violet coloration with 1% aqueous FeCl₃ solution

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8. The crystalline form of borax has

(A)   tetranuclear [B₄O₅(OH)₄]²⁻ unit

(B)   all boron atoms in the same plane

(C)   equal number of sp² and sp³ hybridized boron atoms

(D)   one terminal hydroxide per boron atom

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9. The reagent(s) that can selectively precipitate S²⁻ from a mixture of S²⁻ and aqueous solution is (are)

(A)   CuCl₂

(B)   BaCl₂

(C)   Pb(OOCCH₃)₂

(D)   Na₂[Fe(CN)₅NO]

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10. A plot of the number of neutrons (N) against the number of protons (P) of stable nuclei exhibits upward deviation from linearity for atomic number, Z > 20. For an unstable nucleus having N/P ratio less than 1, the possible mode(s) of decay is (are)

(A)   β^—decay (β emission)

(B)   orbital or K−electron capture

(C)   neutron emission

(D)   β⁺ −decay (positron emission)

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11. Positive Tollen’s test is observed for

(A) 

(B) 

(C) 

(D) 

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12. The compound(s) with TWO lone pairs of electrons on the central atom is (are)

(A)   BrF₅

(B)   ClF₅

(C)   XeF₄

(D)   SF_­4

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13. According to the Arrhenius equation,

(A)   a high activation energy usually implies a fast reaction

(B)   rate constant increases with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy

(C)   higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant

(D)   the pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.

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Section-3

• This section contains FIVE questions.

• The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9, both inclusive.

14. In the following monobromination reaction, the number of possible chiral products is

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15. The mole fraction of a solute in a solution is 0.1. At 298 K, molarity of this solution is the same as its molality. Density of this solution at 298 K is 2.0 g cm⁻³. The ratio of the molecular weights of the solute and solvent,  is

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16. The number of geometric isomers possible for the complex [CoL₂Cl₂]⁻ (L = H₂NCH₂CH₂O) is

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17. In neutral or faintly alkaline solution, 8 moles of permanganate anion quantitatively oxidize thiosulphate anions to produce X moles of a sulphur containing product. The magnitude of X is

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18. The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute temperature of an ideal gas is increased 4 times and its pressure is increased 2 times. As a result, the diffusion coefficient of this gas increases x times. The value of x is

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