most probable questions for csir-net/jrf;2016 (i)

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TEST PAPER –Ist

‘Most Probable Questions for CSIR-NET/JRF;2016 (I)

CHEMICAL SCIENCES

Prepared by-R.K. Sir, Basant Kumar Singh, Prateek Singh and M.A. Ali.

Time: 3 hours Maximum marks: 200

INSTRUCTIONS

1. This test booklet contains 100 questions (50 Part ‘B’+50 Part ‘C’) Multiple Choice questions (MCQs).

You are required to answer to 34 questions in part ‘B’ and 33 questions in part ‘C’.

2. You must darken the appropriate circles with a pencil related to Roll Number, Subject Code, Booklet Code and Centre Code on the OMR answer sheet.

3. Each question in Part ‘B’ carries 2 marks and Part ‘C’ questions carry 4 marks each respectively. There will be negative marking @25% for each wrong answer.

4. After the test is over, you must hand over the answer sheet (OMR) to the invigilator.

5. Use of calculator is not permitted.

6. Total time allotted is 3 hours and total marks are 200.

7. The students shall be allowed to Carry the Question

Paper Booklet after completion the exam.


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PART - B

1.

2.

3.


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4.

5.

6. The complexes [(C7 H8) Mo (CO) 3] and [W Cp2 (CO) 2] follow 18 e – rule, the η of Cycloheptyl and Cp respectively are:-

(a) 7 & 5 (b) 7 & 3, 5 (c) 3, 5 & 6 (d) 6 & 5,3

7. In the complexes the value of x, respectively , is (use 18 e- Rule as your guide)


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[η5 – Cp (CO) 2 Fe

x(Ph C CH)] , [η

6 – C6H6) Mn (CO) 2 (CH3)

x] , [η5 – Cp Fe (CO)3

x] ,

and [Ni (CO)3 (NO) x] ,

(a) 1, 1, 0, 2 (b) 1, 1, 0, 1 (c) 1, 2, 0, 2 (d) 1, 0, 1, 1.

8. The number of bonds per metal and total number of M – M bonds in the following

complexes, respectively, are-(μ – CO)–[(η4 – C4H4) Fe (CO)] 2, (μ3 – CO)–[Fe4

(CO)122] and Ir4 (CO) 12.

(a) 3, 3 ; 6, 3 and 6, 3 (b) 3, 3 ; 3,6 and 3, 6

(c) 3, 2; 6, 3 and 3, 6 (d) 3, 3; 6, 3 and 3, 6

9. The no. of bridging and terminal carbonyls in the complexes, Co4 (CO) 12 , Fe3(CO)12 & Fe2(CO)9 are, respectively-(2)

(a) 3, 9; 3, 9 & 3 , 6 (b) 2, 10; 3,9 & 3, 5

(c) 3, 9; 2, 10 & 3, 6 (d) 3, 6; 2, 10 & 3, 9

10. Fe (CO)5 Na(A) (B)hv

Mn2 (CO) 10 + dppe (C) + (D). The products A, B, C, D, respectively are:-

(a)

3 12

-

4

+

5 3 ,[Mn(CO Fe CO ) ] &[Mn(d, Fe CO ppe) ]

(b) +

2 3 59

4 ,[Mn(dppFe CO , e) ] &[Mn Fe CO (CO) ]

(c)

2 3 59

4 ,[Mn(dppe)Fe CO , ] &[Mn(CO e O ) ]F C

2

42 3 59

,[Mn(dppeFe CO , ) ] &[Mn(CO ]F )e CO d

11. The product for the following Pericyclic reaction is-

12. The products X and Y for the following reaction respectively, are-


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13. The Minor product of the following reaction is-

14. ) The reaction condition and the product for the following reaction are-


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15. The conditions A-B, required for the following reaction are-

(a)A Con / ;B Con / hv b) A Con / ;B Dis /

(c)A Con / hv;B Dis / hv d)A Con / hv;B Con /

16. One isomer of dimethoxy benzoic acid has the following 1HNMR spectrum:-

H (ppm): 3.85 (6H, S), 6.63 (1H, t, J = 2Hz), 7.17 (2H, d, J = 2Hz). The

isomer is.

a) 2, 5-Dimethoxy benzoic acid.

b) 2, 3-Dimethoxy benzoic acid.

c) 3, 5-Dimethoxy benzoic acid.

d) 3, 6-Dimethoxy benzoic acid.

17. In the broad band decoupled 13C NMR spectrum, the number of signals appearing for A-C, respectively, are-

(A) Cis 1, 2-Dimethyl Cyclohexane

(B) Cis 1,3,5-Trimethyl Cyclohexane

(C) Phenanthrene

a) 6, 3 and 5 c) 8 , 3 and 5

b) 8, 6 and 7 d) 8, 3 and 7

18. In the mass spectrum of the following isotopic cluster, the ratio of the peaks is.

a) 27: 9: 27: 1 c) 9: 9: 2: 1

b) 27: 27: 9:1 d) 27: 27: 10

19. An organic compound (M.F = C10H14O) exhibited the following spectral data:-

13C NMR : 153, 141, 127, 115, 59, 33, 24.

1HNMR: 1.21 (6H, d, J = 7Hz)2.83 (1H, septuplet,) J = 7Hz), 3.72 (3H,S),

6.74 (2H, d, J = 9Hz) and 7.18 (2H, d, J = 9Hz). The compound among the choices, is-


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20.

21. Zn in carbonic anhydrase is coordinated by three histidine and one water molecule. The reaction of CO2 with this enzyme is an exmple of.

a) Electrophilic addition c) Nucleophilic addition

b) Electron transfer d) Electrophilic substitution.

22. The metals present in superoxide dismutase are

a) Zn & Fe b) Cu & Fe c) Mo & Cu d) Cu & Zn

23. The enzyme which catalyses the conversion of carbon dioxide to bicarbonate is

a) Carboxy-Peptidase c) Carbonic anhydrase

b) Superoxide dismutase d) Hydrogenase

24. Match the following.

A) Silver sulfadiazine 1) Anti copper agent

B) Selenium sulfide 2)Skin fungal infections

C) Tetrathiomolybdate 3) Radiodiagnosis

D) Cardiolyte 4) Seborrheic dermatitis

a) A-2, B-4, C-1, D-3 b) A-1, B-3, C- 4, D-2


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c) A-2, B-3, C-4, D-1 d) A-3, B-2, C- 1, D-4

25. The metal ions that have highest mobility in biological media are:

a) Mg(II) & Ca(II) b) Zn (II) & Fe(II)

c) Na (I) & K(I) d) Ni (II) & Cu (II)

26. Consider the operator 2

2

2

dˆkx ,

dx where k is +ve constant. The value of constant a

in 2axe have in order for this function to be an eigen function of the given operator.

K k k k

a b c d2 2 2 2

27. Identify the state, given for He+.

2 2 rr r sin exp 2i ;where acons tant .

2

φ

a n 3, 2,m 2 b n 3, 2,m 2

c n 4, 2,m 2 d n 4, 2,m 2

28. Potential for a simple harmonic oscillator is given as.

2 2V 2m x

Then the positions of nodes in second excided state is:-

1/2 1/2

1/2 1/2

1a b

m 2 m

1 1c d

4 m 8 m

29. A typical linear molecule O – C – S with 1B 0.2cm at room temperature

bˆK T 100 hcB then the rotational state having largest population is.

a 15 b 30 c 22 d 36

30. The Morse potential is given as.

2

qU q De 1 e

Where q isR Re.

The fore constant (K) for gives Morse potential is.

2

2 Dea 2De b 2De c 2De d

2

(De = dissociation energy)


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31. The vibrational energy levels, v” = 0 and V’ = 1 of a diatomic molecule are

separated by 2143 cm-1, its anharmonicity e ex is 14 cm-1. The values (of e

(in cm-1) and fist overtone (cm-1) of this molecule are respectively.

a) 2143 and 4286 b) 2157 and 4286

b) 2157 and 4314 d) 2171 and 4258

32. The wave number of CO is 1000 cm-1 wave number for Cs is.

1 1 1 1a 1122cm b 1100cm c 975cm d 890cm

33. The bending mode of NH2. Has irreducible representation under c2V is.

a) A1 b) A2 c) B1 d) B2

34. The out –of – plane bonding mode of formaldehyde is:-

(Without using character table)

a) A1 b) A2 c) B1 d) B2

35. Which is /are define isothermal work of a system.

a) - PdV b) PdV c) VdP d) both a and c

36. The change in free energy A for on ideal gas it its is isothermally taken from

volume v to 3v at temperature PK.

3 3 3 3RT RTa 2RTln b 2RTln c ln d ln

2 2

37. The change in free energy A for an ideal gas if it is taken from pressure 2

atm to 3 atm at 270C (if n = 2) isothermaly.

a) 12.02 KJ b) 2.02 kJ c) -2.02 kJ d) -112.2 J

38. The entropy temperature diagram of four cannot engines A, B, C and D are shown

in fig-1. The efficiencies of the engines and A B C D, , and respectively. Which

one is correct.


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A B C D A C B D

A D B C A B C D

a 2 and b 4 and 2

c 4 and 2 d and

39. The plot which represents the H-atoms potential is.

40. ˆ ˆd d

ˆ ˆ5i x, x ?dx dx

2

2

2

ˆ ˆ ˆd d dˆ ˆ â 5i x b 5i x c 5i x d None.

dx dx dx

41. If ˆ Âand B commuted with their commutator, then ˆ ˆˆ Â iB A iB is.

2 2 2 2

2 2 2 2

ˆ ˆ ˆˆ ˆ â A B b A B i B,A

ˆ ˆ ˆ ˆˆ ˆ ˆ ˆc A B i B,A d A B i B,A

42. Which is/are TRUF statements:-

a) The system’s state function must be an eigen function of H

b) For a stationary state, is an eigenfunction of H

c) For a stationary state, equals a function of time multiplied by a function

of the particles Coordinates.

d) The state function is always an eigen function of H .


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43. A particle is in 3-D box, in state 123, this state is given as

sin 3 x y 2 z

sin sina b c

then maximum probability density in this state is:-

8 8 4 16

a b c dabc 3abc 3abc 9abc

44. The anti-commentator of x

ˆx and p is:-

x x

x

ˆ ˆˆ ˆa 2x p i d 2x p i

ˆˆc i x p d i

45. If A B0.6 0.5 is a normalized molecular orbital of a diatomic molecule

AB, constructed from A Band if A A B B| | 1

A Band | = B A| S; then.

a) S = 0.35 b) S = 0.30 c) 0.65 d) S = 0.45

46. The internal energy of a gas is given by U = 1.5 pv. It Expands from 1lit 2 lit

against a constant pressure of 2 atom then internal energy change for the system is:-

a) 101J b) 202 J c) 303 J d) 404 J

47. In given fig if temperature at b = 500 K and at c = 300 K then for 2 – moles of an ideal gas, the ratio of workdone in ab to work done in cd is given by:-

ab ab

cd cd

ab ab

cd cd

| w | | w |2 3a b

| w | 1 | w | 2

| w | | w |1 5c d

| w | 2 | w | 3

48. In given fig if temperature at b = 700 K, and at C = 500 K then for 1 mole of an ideal gas, the heat absorbed by the gas during the process is:-


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a 1300J b 2305J

c 2806J d 1608J

49. Let x, y, z be quantities satisfying a functional relations f(x, y, z) = 0. Let w be a function of any two of x, y, z. Then which are reactions is/ are incorrect.

x y w wz w

z z z

x

x y z x y zA 1 B 1

y z x y z x

x 1 x 1C D

yy y y / x

z

a) (A) and (B) c) (C) and (B)

b) C only d) (A) and (D)

50. For a perfect gas at p 0 then the molar Gibbs energy becomes.

a) Positive infivite c)zero

b) negative infinile d) one


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PART – C

51.

52.


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53.

54.


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55.

56.

57.


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58.

59.


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60.

61.


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62.

63.

64.


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65.

66. The correct combination of iso- structural and iso electronic complexes is:-

(a) 6 6 5 4[V (CO) ] ,[Cr (CO) ] ,[Mn (CO) ] ,[Fe (CO) ]

(b)

3 2

5 5 5 5[V (CO) ] ,[Cr (CO) ] ,[Mn (CO) ] ,[Fe (CO) ]

(c) 4 2 2

4 4 4 4Cr (CO) ] ,[Mn (CO) ] ,[Fe(CO) ] ,[Ni (CO) ] RE

(d) 3 3

4 4 3 4[Mn (CO) ] ,[Ni (CO) ],[Co(CO) ] ,[Co (CO) ]

67. The correct combination of isolobal analogies is-

(A) 3 6 4CH ,[Cr(CO) ], Ni (CO)

(B) 2 2 5H, CH ,Fe(CO) Cp, Mn (CO)

(C) 3 CH ,CH , S, Co (CO) Cp

(D) 2P, NiCp, Cr (CO) Cp

(a) A, B, C, D (b) B, C, D only (c) A, B, C only (d) A, C, D only.

68. The species - 2 4 11 4 8 23 3 7 3 2C B H ,P ,Fe (CO) and B H [Fe (CO) ] , respectively, are:-

(a) Nido, Hypho, Super – Closo & Nido.

(b) Hypho, Nido, Nido, & super Closo.


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(c) Hypho, Nido, Closo, & Arachno.

(d) Hypho, Nido, Super – Closo & Nido.

69. Consider the following compounds-

(a) All are 18 e- compounds (b) Only 2 and 3 follow 18 e

- Rule

(c) 1 is 16 e- compounds (d) All Are 16 e

- compounds.

70. An organic compound (M.F = C6H10O3) exhibited the following spectral data:-

IR = 1745 and 1710 cm-1

13C NMR (ppm) = 15, 22, 39, 62, 170, 203

1HNMR (ppm) = 1.28 (3H, t, J = 7Hz), 2.28 (3H,S),

3.24 (2H, S), 4.20 (2H, q, J = 7 Hz).

The compound among the choices, is-

71. In which case the entropy of mixing mixS is maximum.

a) 4 moles of N2(g) and 4 moles of H2 (g)

b) 6 moles of N2(g) and 2 moles of H2 (g)

c) 5 moles of N2(g) and 3 moles of H2 (g)

d) 7 moles of N2(g) and 1 moles of H2 (g)

72. In a binary mixture which one represent Duhem-Margules equation

1 2 1 2

1 2 2 1T,P T,P T,P T,P

1 2 1 2

1 2 2 1T,P T,P T,P T,P

ln f ln f ln f ln fa b

ln x ln x ln x ln x

ln f ln f ln f ln fc d

x x x x


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73. If 2 mol H2 at 2.0 atm and 250C and 4 mol N2 at 2.0 atm and 250C are mixed at

constant volume. Then mixG is:

a) -9.5 kJ b) - 9.7 kJ c) -97 kJ d) -95kJ.

74. The normalization constant of wave function where

0 x L,is

7 7 7 7

205 105 15 17a b c d

L L L L

75. For a certain particle encountering a barrier, the tunnelling probability is

approximate 10-10 if the mass is halved and the width of the barrier (rectangular) doubled, approximate value of the tunneling probability will be

32 42 23 12a T e b T e c T e d T e

76. In cyclobutadienyl methyl radical 5 5C H only one NBMO exist, which is

a)

b)

c)

d)

77. The perturbation a x ab a x

H 'otherwise0

The first order correction to the ground state energy of the particle is .

ba ba

a b c 2ab d ab2 2

78. If an electron is in second excited state of Li2+ then correct part of the wave

function

0 0 0 0r/a 2r/3a 3r/2a r/3aa e b e c e d e

79. Which is /are radial distributions in correct:-


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80. The compound A2H8 (Mythalane) has symmetry.

a) D2 b) D2d c) D2h d) C2h

81. The ratio of rotational partition function of D2 and HD is.

1

a b 2 /1 c 3 / 4 d 8 / 32

82. Thermal wavelength for O2 is at – 730C is:-

a 10pm b 22pm c 40pm d 18pm

83. For a system, molecular partition function is e2 if its zero point energy is not

considered, if its zero point energy is 1 then partition function by considering

zero point energy is.

2 1a e b e c e d none

84. The triplet state of He having configuration 1s1 2s1 has spce part.

a 1s 1 2s 2 1s 2 2s 1 b 1s 1 2s 2 1s 2 2s 1

c 1s 1 2s 2 d 1s 2 2s 1

85. The energy of trial fuctions x (a-x) and x (a-x) a

x2

for particle in box are

1 2E and E respectively then energy of particle in state

a

x2

3E then from variational principle correct order of this energies is

1 2 3 1 3 2

1 3 2 3 1 2

a E E E a E E E

c E E E d E E E


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86. The wave function of a particle moving in free space is given by

the energy of the particle is.

2 2 2 2 2 2 2 25 k 3 k k k

a b c dm 4m 2m m

87. If 200 cm-1 laser light is used for O2 and rotational constant of O2 is 5.6 cm-1 then

first antistokes line is observed as.

1 1 1 1a 211.2cm b 222.4cm c 233.6cm d 256cm

88. For H2O molecule ˆ yz is molecular plane than similarity trans –formation of

vˆ xz by

2C is:

v v 2ˆˆ ˆa E b xz c yz d C

89. In fig (1) the equivalent operation for 1

d v dˆ ˆ is.

3

v 2 4 4a b c c c d c

90. The asymentric stretching mode of H2O is- (without using character table)

a) A1 b) B1 c) A2 d) B2

91. The entropy temperature diagram of two cannot engines A and B. Are shown in

the fig (2) the efficiencies of the engines are A Band respectively. Which one is

correct?


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A B A B

A B A B

a : 3: 4 b : 1: 2

c : 9 : 4 d : 2 :1

92. In given cyclic process –ABCA, for an 2 mol of ideal gas temperature at A is 300

K, and at B is 500 K respectively. A total of 1000 Joule heat is with drown from the system the work done in step BC in approximately.

a) 4.32 kJ b) 2.23 kJ c) 1.32 kJ d) 8.32 kJ

93. In given Cycle the ratio of temperature of two isotherms AB and CD is. (If R/Cv =

0.5).

a) 11:5 b)13: 2 c) 13:4 d) 2 :1

94. The classical turning points of the simple harmonic oscillator in state which is

plotted here are.


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1/2 1/2

1/2 1/2

5 5a b

m 2 m

5c 10 d

m m

95. If is the linear combination of hydrogenic function.

1 1 12p 2p 3p, ,and as

1 1 12P 2P 3P2i , , 2 ,

The most probable value of z – component of angular momentum (z) and its probability are respectively:-

2 5 4 1

a and b and c and d and3 9 9 6

96. In given fig.1 shows the variation in the internal energy U with the volume V of 2.0 mole of an ideal gas in a cyclic process abcda. The temperatures of the gas at b and c are 500 k and 300 k respectively then which one is correct.

AB cd bc da ab cda Q 0 b Q 0 c Q Q 0 d Q Q 0

97. Fig shows a process abca perfomed on an ideal gas. The net heat given to the

system during the process is.

a) 962.76 J b) 1962.76 J c) 100 J d) 99 J

98. There are four curves representing reversible processes of an ideal gas on a TS diagram.


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a) 2-Isentropic, 1-Isobaric, 3-Isochoric, 4-Isothermal.

b) 1-Isentropic, 2-Isobaric, 4-Isochoric, 3-Isothermal.

c) 1-Isentropic, 3-Isobaric, 2-Isochoric, 4-Isothermal.

d) 1-Isentropic, 2-Isobaric, 3-Isochoric, 4-Isothermal.

99. The Fugacity of a gas is if the attractive interaction is dominant in a Vander Waals gas, and the pressure is low enough to make the approximation 4aP /(RT)2 << 1,

is.

a)

2RT

PPe

(b)

2

aP

RTPe

(c)

2

a

P RTPe

(d)

2

2

a P

RTPe

100. When a certain liquid of molar mass 46.1 g mol-1 freezes at -3.650 its density changes from 0.78 g cm-3 to 0.801 g cm-3. Its enthalpy of fusion is 8.68 kJ mol-1.

The freezing point of the liquid at 100 M Pa is:-

0 0 0 0a 0.1 C b 1 C c 11 C a 101 C

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