CSIR UGC NET CHEMICAL SCIENCE DEC...

21
CSIR UGC NET CHEMICAL SCIENCE DEC 2019 IFAS SOLVED PAPER

Transcript of CSIR UGC NET CHEMICAL SCIENCE DEC...

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CSIR UGC NET CHEMICAL SCIENCE DEC 2019

IFAS SOLVED PAPER

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PART-A

Question ID: 1879801621 1. There are nine identical balls, one of which is heavier than the other eight. What is the least number of weighing’s, using a two-pan balance, needed for definitely identifying the heavier ball? (1) One (2) Two (3) Three (4) Four Question ID:1879801622 2. The number of triangles in the figure is?

(1) 9 (2) 10 (3) 11 (4) 12 Question ID:1879801623 3. The difference, the sum and the product of two integers are in the proportion 1 : 3 : 10 The two integers are: (1) 3, 9 (2) 2, 5 (3) 5, 10 (4) 3, 10 Question ID:1879801624 4. In a population of 900, the number of married couples is as much as the number of singles. There are 100 twins of which 50 twins are singles. The population has 400 females in all. What is the number of married persons? (1) 325 (2) 600 (3) 250 (4) 300 Question ID:1879801625 5. In a certain cipher language ‘BIKE’ is coded as ‘YFHB’ and 'CAR' is coded as 'ZXO'; then 'SCOOTER' can be coded as? (1) ТАРРIҮB (2) PYVVAHJ (3) PZLLQBO (4) JZKKMCO

Question ID:1879801626 6. The trends of two quantities over five years are shown in the graph:

Which of the following are valid inferences? Α. The mean values of the quantities are nearly equal B. The variations in the two quantities are nearly equal C. Quantity 1 varies less over the given period as compared to Quantity 2 (1) Only A is true (2) Only B is true (3) A and C are true (4) A and B are true Question ID:1879801627 7. Which among the following diagrams can represent the relationships between houses, offices and buildings?

Question ID:1879801628 8. Consider a location on the Earth where the Sun is overhead at noon. Compared to its shadow at 10.00 AM, the shadow of a tower at 4.00 PM would be (1) twice longer (2) three times longer (3) four times longer (4) eight times longer

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Question ID:1879801629 9. A girl is running at constant speed to catch a bus which is stationary. Before she reaches the bus, the bus leaves and moves with a constant acceleration. Which one of these graphs describes the situation correctly?

Question ID:1879801630 10. A dart is randomly thrown at a circular board on which two concentric rings of radii R and 2R having the same width (width much less than R) are marked. The probability of the dart hitting the smaller ring is? (1) twice the probability that it hits the larger ring. (2) half of the probability that it hits the larger ring. (3) four times the probability that it hits the larger ring. (4) one-fourth the probability that it hits the larger ring. Question ID:1879801631 11. The length of a rod is measured repeatedly by two persons. Person A reports the length to be 1002 1 cm while person B reports the length to be 1001 2 cm. It is known from a more reliable method that the length is 1000.1 0.5 cm. Which one of the following statements is correct? (1) Measurements made by B are less accurate, but more precise, compared to those by A. (2) Measurements made by A are less accurate, but more precise, compared to those by B. (3) Measurements made by B are more precise and more accurate, compared to those by A (4) Measurements made by A are more precise and more accurate, compared to those by B. Question ID:1879801632 12. Seven chairs numbered 1 to 7 are placed around a round table. Starting from chair number 5, a person keeps going around the table anticlockwise. After crossing 41 chairs, the person will reach the chair number? (1) 1 (2) 3 (3) 5 (4) 7

Question ID:1879801633 13. A, B, C and D are four consecutive points on a circle such that chords AB = BC = CD = 10.0 cm and DA = 20.0 cm. The radius of the circle (in cm) is (1) 10.0 (2) 10/2 (3) 10/3 (4) 20.0 Question ID:1879801634 14. A tells B, "I could be visiting you on any day in the next two months and you must give me gold coins of as much total weight in grams as the number of days that would elapse from today". If gold coins are available in integer gram weights, what is the least number of coins with which B can meet A's demand on any day? (1) 31 (2) 7 (3) 6 (4) 13 Question ID:1879801635 15. A move of a coin is defined as crossing any number of points in a straight line on the 4 x 4 grid (horizontally, vertically or diagonally). What is the least number of moves in which a coin, starting from the indicated position, can cover all nine points within the marked square?

(1) four (2) five (3) six (4) seven Question ID:1879801636 16. The graph below shows the rainfall and temperature at a place over one week. Which day of the week would feel the most humid?

(1) Monday (2) Wednesday (3) Thursday (4) Saturday

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Question ID:1879801637 17. The difference between the squares of two consecutive integers is 408235. The sum of the numbers is? (1) 16324 (2) 27061 (3) 180235 (4) 408235 Question ID:1879801638 18. Find out the next figure in following sequence?

Question ID:1879801639 19. A partially filled hour glass has water falling from the upper bowl to the lower bowl. Which of the following statements is correct? (1) The level of water rises in the lower bowl at the same rate as the fall in the upper bowl (2) The level of water rises in the lower bowl at the half rate as the fall in the upper bowl (3) The rate of increase in the volume of water in the lower bowl is the same as the rate of decrease in the upper bowl (4) The area of top surface of the water column is the same in both bowls at all times Question ID:1879801640 20. Examine the following statements: a Fat cells normally produce hormone A in proportion to the amount of fat. Obese individuals, however, have lower than normal levels of hormone A b. Hormone A reduces food intake Which among the following is a valid inference based on the above statements? (1) Impaired production of hormone A causes obesity (2) Impaired action of hormone A causes obesity (3) Obesity results into low levels of hormone A (4) Excess food intake causes depletion of hormone A

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PART-B

Question ID:1879801641 1.Correct order of molar extinction coefficient values of the visible absorption bands for the following species is (1) [Cr(H2O)6]2+> [Mn(H2O)6]2+ > Chlorophyll > [NiCl4]2- (2) Chlorophyll > [NiCl4]2-> [Cr(H2O)6]2+> [Mn(H2O)6]2+ (3)[NiCl4]2->Chlorophyll>[Cr(H2O)6]2+>[Mn(H2O)6]2+ (4) Chlorophyll > [Cr(H2O)6]2+ > [NiCl4]2->[Mn(H2O)6]2+

Question ID:1879801642

2. The expected number of Vco bands in the IR spectra of fac-[Mo(PPh3)3(CO)3] and trans-[Mo(PPh3)2(CO)4] are, respectively (1) one and one (2) two and two (3) two and one (4) three and one Question ID:1879801643 3. Pair of lanthanide ions which show significant deviation between the experimental and calculated magnetic moments, considering contribution from the

ground state only. (given: [ ( )]

), is:

(1) Gd3+ and Lu3+ (2) Sm3+ and Tb3+ (3) Eu3+ and Tb3+ (4) Sm3+ and Eu3+

Question ID: 1879801644

4. In common glass electrode, alkaline error caused at pH > 10 is least for (1) 0.01 M NaCl (2) 1.0 M NaCl (3) 1.0 M LiCl (4) 1.0 M KCl Question ID: 1879801645

5. Consider four species A, B, C and D.

A + B ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗ C Oxidation of A with C in an acidic medium gives D. A, B, C and D are, respectively: (1) S4

, I2, KIO3 and S

(2) S4 , KIO3, I2 and S

(3) S2

, KIO3 , I2 and S4

(4) S2 , KIO3 , I2 and S

Question ID:1879801646 6. For an octahedral Cu2+ complex depicting axial EPR spectrum ( ), the geometry of Cu+2 and the orbital containing the unpaired electron are, respectively (1) Tetragonally elongated, dx2-y2 (2) Tetragonally compressed, dz2 (3) Tetragonally elongated, dz2 (4) Tetragonally compressed, dx2-y2

Question ID:1879801647 7. The common heptacity observed for coordination of C60 to a metal centre is (1) 2 (2) 4 (3) 5 (4) 6 Question ID: 1879801648

8. The pair of light source and atomizer resulting highest sensitivity to atomic absorption spectrometric measurement is: (1) Hg lamp, nitric oxide flame (2) Hg lamp, graphite furnace (3) Hollow cathode lamp, graphite furnace (4) Hollow cathode lamp, acetylene-nitric oxide flame Question ID:1879801649 9. The magnitude of bond angles in gaseous NF3, SbF3 and SbCl3 follow the order (1) NF3 > SbF3 > SbCl2 (2) SbCl3 > SbF3 > NF3 (3) SbF3 > SbCl3 > NF3 (4) NF3 > SbCl3 > SbF3 Question ID:1879801650 10. The most stable vanadium species in aqueous medium is (1)[V(H2O)5(OH)]2+ (2)[VO(H2O)5]2+ (3)[VO(H2O)5]+ (4)[V(H2O)4(OH)2]2+ Question ID:1879801651 11. For the complex shown below in non-fluxional state, the expected 31P{'H} NMR resonance(s) is/are [31P: I = 1/2]

(1) one singlet (2) one doublet (3) two singlets (4) two doublets Question ID:1879801652 12. Identify from following, the products of K-electron capture by the nucleus: A neutron B. neutrino C. positron (1) A only (2) A and B (3) C only (4) B and C

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Question ID:1879801653 13. Choose the correct statements for oxymyoglobin and cytochrome P450 (resting state) from the following: A. Both contain dianion of protoporphyrin- IX B. They have same fifth-ligand bonded to metal centre from the protein backbone C. They contain single active site D. They contain metal ion in +3 oxidation state Answer is: (1) A, B and C (2) A, C and D (3) A, B and D (4) B and C only Question ID: 1879801654

14. The major product formed in the following reaction is:

Question ID: 1879801655

15. The correct match of 13C NMR chemical shift values (δ ppm) for pyridine is:

(1) C2: 136 ; C3: 124; C4: 150 (2) C2: 124 ; C3: 150; C4: 136 (3) C2: 150 ; C3: 124; C4: 136 (4) C2: 150 ; C3: 136; C4: 124

Question ID: 1879801656

16. The major product formed in the following reaction

is:

Question ID: 1879801657

17. The correct order for the rate of thermal decarboxylation of the following compounds is:

(1) C > B > A (2) C > A > B (3) A > C > B (4) B > C > A

Question ID: 1879801658

18. The correct order of basicity of the following anions is:

(1) B > A > C > D (2) D > B > C > A (3) C > D > B > A (4) B > A > D > C

Question ID: 1879801659

19. E1cb mechanism is followed in the reaction of (1) 2-bromopentane with t-BuOK to give pent-2-ene (2) nitromethane with benzaldehyde in the presence of KOH to give β-nitrostyrene (3) bromobenzene with NaNH2 to give aniline (4) p-chloronitrobenzene with NaOMe to give p-nitroanisole

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Question ID: 1879801660

20. The major product formed in the following reaction is:

Question ID: 1879801661

21. In IR spectrum, recorded neat, a compound shows a strong and broad band at 3300 cm-1. The band becomes sharp and shifts to 3600 cm-1 when the spectrum is recorded in CCl4 at high dilution. This proves that the compound has (1) OH group, which is involved in intramolecular H-bonding (2) OH group, which is involved in intermolecular H-bonding (3) a terminal alkyne group (4) OH group, present in severely sterically hindered

environment

Question ID: 1879801662

22. TRUE statement for the following transformation is:

(1) ΔH° and ΔSo are positive (2) ΔH° and ΔSo are negative (3) ΔHo is positive and ΔSo is negative (4) ΔH° is negative and ΔSo is positive

Question ID: 1879801663

23. The major product formed in the following reaction

is:

Question ID: 1879801664

24. The major product formed in the following reaction is:

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Question ID: 1879801665

25. The major product formed in the following reaction is:

Question ID: 1879801666

26. The major product formed in the following reaction is?

Question ID:1879801667 27. The ion having the highest bond order is (1) NO+ (2)

(3)

(4)

Question ID: 1879801668

28. The frequency of O-H stretch occurs at

~3600 . The O-D stretch frequency (in )

would be closest to

(1) 3000 (2) 2600 (3) 1800 (4) 900

Question ID: 1879801669

29. The value of a physical variable was found to be 196, 198, 194, 199 and 198 in a set of five independent measurements. The average value and the standard deviation would be closest, respectively, to (1) 198 and 2 (2) 197 and 4 (3) 197 and 2 (4) 198 and 4

Question ID: 1879801670

30. The titration of 4.4 g of a polymer having carboxylic

acid end group requires 11 mL of 0.02M NaOH.

The average molar mass (in ) of the polymer

is:

(1) 40 (2) 20

(3) 15 (4) 10

Question ID: 1879801671

31. A liquid of density 1.1 g climbs to a height of

5.0 cm when a capillary with internal radius of 0.2 mm

is dipped into it. The surface tension (in ) of the

liquid is closest to

(1) 0.05 (2) 0.108

(3) 0.018 (4) 0.005

Question ID: 1879801672

32. Consider a two-level system in which the excited

state, separated from the ground state by energy ,

is doubly degenerate.

The fraction of the molecules in the excited state, as

, is:

( )

( )

( )

( )

Question ID: 1879801673

33. The cell potential (in V) of a Ag/AgCl/KCl electrode

connected to the standard hydrogen electrode

at 298 K is closest to:

(Given ( ) = 0.222 V and assume that the

activity of KCl is 0.01)

(1) 0.197 (2) 0.297

(3) 0.340 (4) 0.440

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Question ID: 1879801674

34. If the rate constant for a base catalyzed ester

hydrolysis reaction is 0.20 , half-life (in s)

of the ester (Given [ ] [ ] )

would be closest to

(1) 40 (2) 100

(3) 140 (4) 200

Question ID: 1879801675

35. The hydrogen atomic orbital given by

( ) represents

(1) 2p orbital (2) 3p orbital

(3) 3d orbital (4) 4d orbital

Question ID: 1879801676

36. Molar composition of a mixture of P and Q at

equilibrium is 3:1 (P : Q). A small disturbance in

composition results in change of chemical potential of

P by 10 . The chemical potential

of Q will change (in ) by

( ) ( )

( ) ( )

Question ID: 1879801677

37. Consider the entropy changes in a system

undergoing transformation, as depicted in the diagram,

below:

The correct statement among the following is:

(1) and

(2) and

(3) and

(4) and

Question ID: 1879801678

38. The Miller index for the plane as shown in the

figure and parallel to the c-axis, is

(1) 110 (2) 120

(3) 210 (4) 220

Question ID: 1879801679

39. A cube does not have the symmetry element

(1) (2)

(3) (4)

Question ID: 1879801680

40. The correct match for the drug molecules in the Column A with their medicinal use in Column B is:

P

i. Anaesthetic

Q

ii. Anticoagulant

R

iii. Antibiotic

(1) P- i; Q-ii; R-iii (2) P-ii; Q-i; R-iii (3) P-iii; Q-i; R-ii (4) P-i; Q-iii; R-ii

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PART-C

Question ID: 1879801681 1. The rate-determining step in the catalytic synthesis of acetic acid by Monsanto process is (1) oxidative addition of CH3I to [RhI2(CO)2]- (2) migration of CH3 group to CO of [RhI3(CO)2(CH3)]- (3) loss of CH3COI from [RhI3(CO)2(COCH3)]- (4) coordination of CO to [RhI3CO(COCH3)]- Question ID: 1879801682 2. The cluster types of [Fe5(CO)14N]- and [Co6(CO)13N]-

are, respectively: (1) nido-, nido- (2) nido-, closo- (3) closo-, nido- (4) closo-, closo- Question ID: 1879801683 3. In the electronic spectrum of [IrBr6]2- the number of charge transfer band(s) and their origin are, respectively: (1) Two, ligand → metal (σ → t2g, and σ→ a1g*) (2) One, ligand → metal (σ → eg) (3) Two, ligand → metal (σ → t2g and σ → eg) (4) One, ligand → metal ((σ → t2g) Question ID: 1879801684 4. The main product of nucleophillic attack of H - on the complex ion given below is:

Question ID: 1879801685 5.Choose the equilibria from the following that are NOT favoured to go to right: (A) As2S5 + 5HgO As2O3 + 5HgS (B) La2(CO3)3 + Bi2S3 La2S3 + Bi2(CO3)3 (C) CdSO4 + CaS CdS + CaSO4 (D) BeF2 +HgI2 BeI2 + HgF2 (1) A and B (2) A and C (3) B and C (4) B and D Question ID: 1879801686 6. The correct statements for dithionite and dithionate anions from the following are (A) both have S-S bond (B) both are dianionic (C) oxidation state of sulphur is +3 and +5, respectively (D) sulphur in dithionate has lone pair of electrons (1) A, B and C (2) A, B and D (3) B, C and D (4) A and B only

Question ID: 1879801687 7. The species for which the shapes (geometry) can be predicted by VSEPR theory is/are (A) [PtCl4]2- (B) [TeCl6]2- (C) PF3 and SF6 Answer is (1) A and C (2) B and C (3) C only (4) A and B

Question ID: 1879801688

8. Among SO2(OH)F, CH3CO2H, LiF and H2O, the compound(s) which behave(s) as a base in liquid HF is/are (1) CH3CO2H and LiF only (2) LiF only (3) SO2(OH)F and LiF only (4) CH3CO2H, LiF and H2O

Question ID: 1879801689 9. Complex(es) which has/have unpaired electron(s) that is equal to that of iron center in oxymyoglobin is/are A. [Fe(ox)3]3- B. [Fe(CN)6]3- C. [NiCl4]2- D. [Cu(NH3)4]2+ (Given: ox= oxalato) Correct answer is (1) A and B (2) B and D (3) C only (4) C and D

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Question ID: 1879801690

10. In spectrofluorimetric determination in solution: A. absorbance of analyte solution is kept near to 0.05 B. oxygen is eradicated from solution C. pH of solution is controlled D. wavelength of incident light is always above 400 nm Correct from the above is (1) A, B and D (2) B, C and D (3) A, B and C (4) A, C and D

Question ID:1879801691 11. Match the items in Column I with those of Column II.

The correct match is: (1) a-iv, b-ii, c-iii, d-i (2) a-i, b-iv, c-ii, d-iii (3) a-iv, b-i, c-ii, d-iii (4) a-iv, b-i, c-iii, d-ii

Question ID: 1879801692

12. In Mössbauer spectrum of a sample containing iron recorded in the presence of a static magnetic field, the number of possible allowed transition(s) is: (1) Two (2) Four (3) Six (4) Eight Question ID:1879801693 13. FeCr2O4 and NiGa2O4 have normal and inverse spinel structures, respectively. The correct statement is: (1) Fe(II) and Ni(II) occupy octahedral sites (2) Fe(II) and Ni(II) occupy tetrahedral and octahedral sites, respectively (3) Cr(III) and Ga(III) occupy only octahedral sites (4) Cr(III) and Ga(III) occupy tetrahedral and octahedral

sites, respectively

Question ID:1879801694 14. The correct order of metal-carbon distance is (1) Fe(ɳ5-Cp)2 >Co(ɳ5-Cp)2 >Ni(ɳ5-Cp)2 (2) Fe(ɳ5-Cp)2 > Ni(ɳ5-Cp)2> Co(ɳ5-Cp)2 (3) Ni(ɳ5-Cp)2> Fe(ɳ5-Cp)2 > Co(ɳ5-Cp)2 (4) Ni(ɳ5-Cp)2> Co(ɳ5-Cp)2 > Fe(ɳ5-Cp)2

Question ID:1879801695 15.The major product formed in the following reaction is:

Question ID:1879801696 16. The correct match of spin-only magnetic moment for the complexes cis-[Fe(phen)2(NCS-N)2] (A) and [Fe(phen)3]Cl2 (B) at 300 K is (phen = 1,10-phenanthroline) (1) 4.89 BM for both A and B (2) 0 BM for both A and B (3) 4.89 BM for A and 0 BM for B (4) 0 BM for A and 4.89 BM for B Question ID:1879801697

17. Match Column I, II and III:

The correct match is (1) A-iii-Y; B-i-Z; C-ii-X (2) A-iii-Y, B-ii-X; C-i-Z (3) A-ii-X; B-i-Y; C-iii-Z (4) A-i-X; B-iii-Z, C-ii-Y Question ID: 1879801698

18. Match the items in column I with those of column II

Column I Column II a. Conductometric titration i. Voltage b. Amperometric titrations ii. Resistance c. pH metric titration iii. d. Differential pulse polarography iv.

Correct match is: (1) a-ii; b-iv; c-i; d-iii (2) a-iii; b-i; c-ii; d-iv (3) a-iii; 6-ii; c-iv, d-i (4) a-i; b-iii; c-iv; d-ii

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Question ID: 1879801699 19. The correct statement about base hydrolysis of [Co(py)4Cl2]+ (py = pyridine) is (1) rate expression is, Rate = k[Co(py)4Cl2]+[OH-] (2)reaction does not depend on hydroxide ion concentration (3)reaction proceeds through SN

1CB mechanism (4) intermediate involved in this reaction is [Co(py)4Cl2(OH)] Question ID:1879801700 20. Consider the following statements: (A) The highest oxidation state of Group 3 elements is more readily shown in their oxides than in fluorides. (B) Fe can exist in -2 formal oxidation state also. (C) Mn, Tc and Re easily form M(II) compounds. The correct statement(s) is/are: (1) A and B (2) A and C (3) B and C (4) C only Question ID: 1879801701

21. The intermediate A and major product B formed in

the following reaction are:

Question ID: 1879801702

22. The major product formed in the following reaction

is?

Question ID: 1879801703

23. The major products A and B formed in the following

reactions are:

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Question ID: 1879801704

24. The correct order of the reactions involved in the

following transformation is

(1) Michael addition, Quasi-Favorskii rearrangement, Aldol condensation (2) Quasi-Favorskii rearrangement, Michael addition, Aldol condensation (3) Michael addition, Aldol condensation, Quasi-Favorskii rearrangement (4) Aldol condensation, Quasi-Favorskii rearrangement, Michael addition Question ID: 1879801705

25. The structure of the compound, which displays the following spectral data is: IR = 1690, 1100 cm-1 1H NMR: δ 2.8 (s, 3H), 3.8 (s, 3H), 6.9 (d, J = 8 Hz, 2H), 7.8 (d, J = 8 Hz, 2H) 13C NMR: δ 197, 165, 130, 129, 114, 56, 26

Question ID= 1879801706

26. The correct absolute configuration of the following

compounds is?

(1) I: M; II: R (2) I: M; II: S (3) I: P; II: R (4) I: P; II: S

Question ID: 1879801707

27. The major product formed in the following reaction

is:

Question ID: 1879801708

28. The compound that shows peaks in the EI mass spectrum at m/z 121, 105, 77, 44 is:

Question ID= 1879801709

29. The major products A and B in the following reaction

sequence are:

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Question ID= 1879801710

30. The major product formed in the following reaction

is:

Question ID= 1879801711

31. True statement regarding Hammett reaction constant

(ρ) for the following transformations given in equations

A and B is:

(1) ρ for A and B is same and positive

(2) ρ for A and B is same and negative

(3) ρ for A is larger positive value than for B

(4) ρ for A is negative and for B is positive

Question ID= 1879801712

32. The reaction that gives (E)-2-methylhex-3-ene as the

major product is:

Question ID= 1879801713

33. The major product formed in the following reaction

is:

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Question ID= 1879801714

34. Product A and B formed in the following

transformation of alkylidenecarbenes are:

Question ID= 1879801715

35. The major product formed in the following reaction

is:

Question ID= 1879801716

36. The major product in the following reaction is?

Question ID= 1879801717

37. Major products formed in the following reaction is

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Question ID= 1879801718

38. The major product A and byproduct B formed in the

following reaction are:

Question ID= 1879801719

39. The major product formed in the following reaction

is:

Question ID= 1879801720

40. The intermediate A and major product B formed in

the following reaction are:

Question ID: 1879801721

41. The spatial part of the dominant resonance

structure of the LiH molecule is (only valance part of

the wavefunction is shown).

( ) ( ) ( )

( ) ( ) ( ) ( ) ( )

( ) ( ) ( ) ( ) ( )

( ) ( ) ( )

Question ID: 1879801722

42. In linear variation method using two orthogonal

basis functions, the two roots obtained are and

( ). The correct relation of these with exact

ground and first excited state energies, and ,

respectively, is

( )

( )

( )

( )

Question ID: 1879801723

43. The reducible representation, , in the table is

equal to the following superposition of the irreducible

representations of C2v, point group.

( )

( )

( )

( )

Question ID: 1879801724

44. In the pure rotational microwave spectrum of a XY

molecule, the adjacent lines are separated by 4 .

If the molecule is irradiated by a radiation of 30,000

, the first Stokes line (in ) appears at:

(1) 29988 (2) 30012

(3) 30004 (4) 29996

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Question ID: 1879801725

45. The Hückel molecular orbital of benzene that is

degenerate with the molecular orbital

( ), is

( )

√ ( )

( )

( )

( )

√ ( )

( )

√ ( )

Question ID: 1879801726

46. The degeneracy of the state having energy

for

a particle in a 3-D cubic box of length L is

(1) 4 (2) 3

(3) 2 (4) 1

Question ID: 1879801727

47. Consider the gas phase reaction:

( ) ( ) ( ) at a given temperature.

When 2.0 moles of A(g) are reacted with 2.0 moles of

B(g), 0.8 moles of C (g) are formed at equilibrium at a

total pressure of 2.0 bar. The value of the equilibrium

constant, of this reaction at the given

temperature is closest to

(1) 0.3 (2) 0.9

(3) 2.4 (4) 19.1

Question ID: 1879801728

48. The molar residual entropy (in ) of solid OCS

would be closest to

(1) 0 (2) 2.9

(3) 5.8 (4) 8.7

Question ID: 1879801729

49. The electrolyte solution that has the smallest

Debye-length at 298 K is:

(1) 0.01 M NaCl (2) 0.01 M

(3) 0.01M (4) 0.01M

Question ID: 1879801730

50. The rate constant of a second order reaction:

is . If the initial concentration of the

reactant is and the concentration of the product at

time is , then a linear function of with

the slope is

( ) (

)

( )

( )

( ) (

)

( ) (

( ))

Question ID: 1879801731

51. X-rays of 173 pm wavelength are reflected by the

(111) plane of a cubic primitive crystal at

θ = 30°. The unit cell length (in pm) is closest to

(1) 173 (2) 300

(3) 346 (4) 600

Question ID: 1879801732

52. In a polymer of N monomer units, the root mean

square separation between the two ends is

proportional to

( )

( )

( )

( )

Question ID: 1879801733

53. ( ) for a non-ideal gas differs from ( )

for a perfect gas by the expression

( ) (

) (

)

( ) (

) (

)

( )

(

) (

)

( ) (

) (

)

Question ID: 1879801734

54. For the electrochemical cell Ag | AgCl | MCl(0.01M)

| MCl(0.02M) | AgCl | Ag, the junction potential is the

highest when is

(1) (2)

(3) (4)

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Question ID: 1879801735

55. The function, which is NOT an eigenfunction of the

indicated operator, is

( )

( )

( )

( )

Question ID: 1879801736

56. The order of a surface catalyzed unimolecular

reaction, at very low and very high pressures of the

reactant, would be, respectively

(1) 0, 0 (2) 1, 0

(3) 0, 1 (4) 1, 1

Question ID: 1879801737

57. 1.0 mol of a perfect monatomic gas is put through

the cycle shown in the figure. The total work (in J)

done during the cycle is:

(use 1L bar = 100 J, R= 8.3 = 0.083

, ln 2 = 0.7)

( ) ( )

( ) ( )

Question ID: 1879801738

58. The oxidation of NO to occurs via the

mechanism given below:

→ ←

[ ]

( ) ( )

( ) ( ) ( )

( ) ( )

( ) ( )

Question ID: 1879801739

59. In trans 1,2-dichloroethylene, the IR inactive mode

is:

(1) C-Cl symmetric stretch

(2) C-Cl asymmetric stretch

(3) C-H asymmetric stretch

(4) In phase out of plane C-Cl bend

Question ID: 1879801740

60. For the reaction , which

follows the harpoon mechanism, the reactive cross

section is closest to:

(Use

, Ionization energy of

K = 422.5 kJ , electron affinity of = 250 kJ

and )

(1) (2)

(3) (4)

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