BOOKLET CODE W
Invigilator's Signature
ENTRANCE EXAMINATION-2013
M.Sc. Chemistry
TIME: 2 HOURS MAXIMUM MARKS: 100

HALL TICKET NUMBER:

INSTRUCTIONS
1.
Write your HALL TICKET NUMBER and the BOOKLET CODE in the space in the OMR ANSWER SHEET given to you.

2.
Make sure that pages numbered from 1 to 19 are present (excluding pages assigned for rough work).

3.
There are 100 questions in this paper. All questiQns carry equal mark.

4.
There is negative marking. Each wrong answer carries -0.33 mark.

5.
Answers are to be marked on the OMR answer sheet following the instructions provided there upon.

6.
HandovertheOMRanswersheetattheend oftheexaminationtotheInvigilator.

7.
In case of tie, the marks obtained in the first 25 questions will be used to determine the order of merit.

8.
No additional sheet will be provided. Rough work can be done in the space provided at the end ofthe booklet.

9.
Only non-programmable calculators are allowed.

10.
Useful constants are provided top of PART-A in the question paper.



II. Candidate should(.Q.arken the correct Booklet Code of the question paper in the OMR Answer Sheet, without which such OMR answer sheets cannot be· evaluated. The defaulting candidates in marking the Booklet Code in the OMR sheet shall not have any claim on their examination and the University shall not be held responsible for the lapse on the part of the candidate/so
5-Jl
1
Rydberg constant 109737 Faraday constant 96500 Planck's constant 6.625x IO-J4 J Speed of light 2.998x 10H m Boltzmann constant 1.380x lO23 J Gas constant 8.314 J K-1 morl; Mass of electron 9.109x 10 kg; Mass of proton 1.672x10-27 kg; Chargeofelectron=
1.6x I0-19 I0 3.336x IO-JO C I bar oc 105 N RT/F 0.059 V
PART-A
1. What will be the pressure at an altitude of 500 miles mile 1.61 x 105 cm) above the earth in an isothermal condition at assuming that the atmosphere consists of 80% N2 and 20% O2 by weight?
3.34 x atm 8.64 x 10-28 atm 1.43 atm 5.20 x 10-28 atm
2. The van der Waals constant for a certain gas is 4.42 x 10-2 Limo!. How near can the centers of two molecules approach each other?
1.636 A 3.272 A 6.525 A 2.134 A
3. What will be the molar mass of an ideal gas if the specific heats at constant volume and at constant pressure are 0.0 IS and 0.025 calories/gl°C, respectively?
100 g/mol 300 glmol 200 glmol 400 g/mol
4. A solution of 10-3 M concentration absorbs 10% of incident light when kept in a cell of 1 cm path length. What concentration of the solution will be required to absorb 90% of the light?
0.012 M 0.022 M 0.052 M 0.5 M
5. The line y x is rotated clockwise by 15° about the point What is the y-intercept of the rotated line?
I+...}3 I 1/...}3
6. There are 10 molecules of A and 10 molecules of B in a container. All binary collisions (collisions of two molecules) are equally likely. What is the probability of the binary collisions between A and
9/20 10/19 1/2 11/20
2 7. If the C-H bond length in methane is 1.0 what is the H-H distance?

...}8/...}3 A A -12/...}3 A A
8. The X-ray diffraction peak of a cubic crystal occurs at 19.50°. At which of the following angles will the diffraction peak appear if the unit cc1llength is doubled?
19.50° 9.75° (C)9.61° 9.50°
9. In the following reaction scheme,
which of the following determines the rate of formation ofC?
Only k3 Only and k2 Only and k3
10. Which ofthe following can be used to evaluate the factorial of a large number?

Lagrange's mean value theorem Newton's formula


Stirling's formula Mol1weide's formula


II. For all positive numbers which of the following is the derivative ofthe function logt>X?
(l/x)logbe
12. Which of the following is the functional form of Michaelis-Menten equation in the context of enzyme kinetics?
polynomial hyperbolic exponential stretched exponential
13. The order of decreasing energy among covalent bond dipole-dipole interaction and London dispersion forces is

LDF CB DDT CB LDF DDT


CB DOl LDF ODI CB LOF


3

6 .-l


Booklet code A
14. Themolarconcentration ofAg+inasolution havingpAg+of6.372is
4.25 x 10-7 M 4.25 M 6.372 M 4.25 x 107M
IS. The arrangement ofthe electron pairs around Sb in SbC4-is
tetrahedral trigonal bipyramidal square pyramidal octahedral
16. The statement associated with the complex anion [CoF6t is

It is a low spin complex It is a high spin complex


It is yellow in colour It is diamagnetic


17. A coordination complex has only two isomers, having octahedral coordination geometry. Identify the complex(es) among the following:


only [Cr(HzO)sCI] [Cr(HZO)3Ch] and


[Cr(HZO)3Ch] and [Ni(NH3)4CIz] only (Ni(NH3)4CIz]


18. Which ofthe following is a paramagentic molecule?
Hz 8z Cz
19. Ruff degradation is generally used for

the determination ofthe amino acid sequence ofprotein


the synthesis of nucleic acids frbm nucleosides


the preparation ofone carbon less aldose from parent aldose


chain shortening ofa peptide.


20.
Find the right structure of the amino acid L-threonine "(2S,3R)-2-amino-3-hydroxybutanoic acid" from the following.

21.
The product obtained in the following reaction is


Me
NH2 Me HO NHz NH2 HO NHz
4


/"... R-CN Br/ "C02Et

00
RAACH3

0


Zn 50% aq. K2C03
.. ..?
THF, reflux ii) 1M HCI

00



00


RAAH
22. Which of the following molecule(s) is/are chiral?
CIytH
CH3
H9cI CH3
II III
Only I 1and III II, and III 1and II
23. 1,3,5,7-Cyclononatetraene can be converted to an aromatic substance by

hydrogen atom abstraction hydride abstraction


proton abstraction H2 elimination


24. The product obtained in the following transformation is NaOEt

EtOH


2-Methyl-l-butanol 2-Methyl-2-butanol


3-Methyl-l-butanol 3-Methyl-2-butanol


25. Which of the following metal is toxic to human body?
Calcium Magnesium Sodium Lead
5


PART-B
26. Whichofthefollowingisthemaximumvalueofthefunction 4sin2t?
1tI2 1tI4 16
27. the value of 3In(x2 -2x from the following.
31n4 41n3 4
28.Atomicmassunit(ainu) isdefinedas 1/12ofthemassofanunboundneutralatomof12C.Which ofthe following isthevalue ofamu(ingrams)ifNistheAvogadro number?
lIN 1/12N

29. How many distinct 3-nucleotide codons can be designed using 5 different nucleotides?
243 64 125 192
30. How many moles of solute are present in 29.4 mL of 0.606 M solution?
0.606 17.8 0.03 0.0178
31. Amixture of1.20molofX,2.10molofY,and0.950molofZisfoundatequilibriumina1litre vessel as shown below.
y z
What is the value of the equilibrium constant,
0.377 0.542 2.65 26.5
32. What is the percent dissociation of acetic acid if the solution has a pH 4.74 and the pKa 4.74?
10% 50% 100%
33. If !lGo is positive for a reaction, the value ofK is:
less than zero equal to zero greater than one between 0 and 1

34. What is the decay constant for a radioactive isotope which decreases to 34% of its original mass in 2.48h?
2.30 h-I 0.137 h-I 0.168 h-I 0.435 h-1
35. Doubling all the coefficient in the equation for the cell reaction

doubles £0, but does not change liGO doubles liGo, but does not change £0


does not change £0 or liGo doubles both £0 and liGO


36. Activity of a species in a solution is often preferred over concentration. If activity, activity coefficient, friction coefficient and mole fraction are denoted by Yo, and respectively, then which ofthe following correctly defines activity?
a a Yo a a =Yo
37. Which of the following spectroscopic techniques is used to measure symmetric stretching modes in molecular vibrations?
Raman IR (C)EPR UV-Visible
38. Which ofthe following is formed when two electrons are combined with an a.-particle?
Hydrogen Helium Nitrogen Oxygen
39. Ifxy -In y then the value of is

3
40. The value ofthe integral J" dx 2 is
1 4x-x
nl3
41. In how many ways can 10 students sit in one row in a class?
3.6288 x 106 1.2 x 106 3.6288 x 103 1.0 x 1010
7


B-l

Booklet code A
42. WhatisthepHofasolutionprepared bymixing25mLof0.1MCH3COOHwith25mLof0.05 M of CH3COONa? Assume that the volume of the solutions are additive and that the K. of CH3COOH is 1.8 x 10-5•
4.44 2.87 4.74 5.05
43. In how many ways can 10 students be split into 2 groups to seat in 2 rows containing 4 and 6 students, respectively?
120 112 210 102
44. What is the value of x when the points and form the vertices of a right­angled (at triangle?

45. What is the function represented in the plot below?
y



TtL,

46. Whichofthefollowingrepresents thepolarcoordinate ofthepoint(1,-V3)?

47. What will be the value Ix=o for the function plotted below?
Finite positive Finite negative Zero Indeterminant
8

1 the I l'ln 2

48. What va ue I tJ->GO cx· I 2
49. The structure of Collins reagent is


o0
N.•Vf,·/.l

C
o


I

50. The order ofdecreasing chemical shift in I H NMR for the underlined hydrogens is

H3C-O-CHr CH3 Clr CH-O-CHr CH3 CI-CHz-Q-CHr CH3 b c d
a a
51. The major product obtained in the following reaction is


CH3

g H2
H3C


CHz AYCH3
H3C CH3



CH3

H3
H3C

52. Theorder ofdecreasingacidity ofthefollowingcompounds is
H H

o II
I II

I I
Hili H


(A) I>II>III>IV II>IV>I>III III>IV>II>I 9


Booklet code A
53. In a process of expansion of a gas, the change in the internal energy was found equal to the heat involved alone. Which of the following is implied by this?

The gas was expanded isothermally


The process was carried out at constant volume


The gas was expanded under constant pressure


The expansion was carried out irreversibly


54. For which physical property is he unit Poise used?
Surface tension Drift velocity Dipole moment Viscosity
55. A 25 mL solution is prepared at 25°C by dissolving 4 g of a soliute. Which of the following experimental quantities can be used to calculate the molar mass of the solute?

Diffusion coefficient Steady-state viscosity ofthe solution


Hydrostatic pressure of the solution Osmotic pressure of the solution


56. Which ofthe following spectroscopic methods is associated with Larmor precession frequency?

Magnetic resonance Anti·Stokes Raman scattering


M5ssbauer effect Extended X-ray absorption


2 2

57. In analytic geometry, which of the following is described by the equation
Parabola Hyperbola Ellipse Line
58. Consider four diatomic molecules MI, M2, M3, and M4 of same atoms with bond orders 2.5,3, and respectively. Which of the following arrangements describes them with decreasing bond energy?

M3>M4>M I>M2 Ml>M2>M3>M4


M3>M2>M4>M I M3>M2>M I>M4


10





59. Which ofthe following amino acids has the side-chain structure l-hN(CO)CH2
Arginine Lysine Glutamine Asparagine
60. Choose from the following the enzyme which catalyzes the conversion of starch to maltose.
Maltase Diastase Elastase Zymase
61. Proteoglycans are biological molecules consisting of a glycosaminoglycan chain linked to an amino acid residue of a core protein. Identify the relevant amino acid from the following.
Alanine Serine Valine Glycine
62. Which ofthe following contributes to the total energy of a monatomic ideal gas?

Kinetic energy Potential energy


Vibrational energy The sum ofkinetic, potential, and vibrational energies


63. The product obtained in the following reaction is

KOH
Alcohol


aMe
cyMe



Me
CCe
OH


64. The major product obtained in the following reaction is
aqueous CI2



light


CI






CJ("CI

CI
Vb

65. Which ofthe following statements about fatty acids is not true?

Fatty acids dissolve in non-polar solvents


Triglycerides are esters of fatty acids


Most naturally occurring fatty acids have trans double bonds


Fatty acids are biosynthesized from acetyl coenzyme A


66. The pathway involved for the Hofmann elimination is

EI E2


67. The product obtained in the following transformation is
OH

H20 NaOH
..
CH2CI2, rt
V

OH
&0"


OH


&oeoH


OH






0

I
I
J
12

B-Il
Booklet code A
68. The product obtained in the following transformation is




0
I OH


OH
1.#
H
uY0
KOH rt ..
OH dt°1.# H


69. The product obtained in the following transformation is

mCPBA
..








I





1.# 1.#

N02

70. The major product obtained in the following reaction is
















yO
0°


°2N
0



N02
b.


C0 2Me

MoOU

I C02Me

Booklet code A
71. The major product obtained in the following reaction is
Me Me
a
CHO


•

NaOEt, EtOH, 100°C
Me
ex

Me Me CH3
aCH,OH
I
Me Me


aCH


Me
CH2

72. Choose from the following the suitable reagent required for the transformation
o

Me Me

73. The product obtained in the following transformation is

o


Me


Me


Me






14





Et e


Et




8

74. The most probable product obtained in the following transformation is
Me
CO

H

Me






H

Me
OX
H

75. The IUPAC name ofthe compound is


12• AgOAc ACOHlH20
..

KOH,

Me

etx°H

iA

Me

OH
H
Me




I








76. The stereochemistry ofthe marked centers in the following molecule is


lv1V

H


77.
The functionality that shows a typical characteristic peak at 2250 cm-I in IRis (B)CHO (C)NCO

78.
Opticalrotationvalueofamixtureofenantiomersofthecompound is +40°. Specific rotation of the (R)-isomer of is +50°. Percentage of(S)-isomer of present in the mixture is


20% 80% 10% 30%

Booklet code A
79.
Consider a IH NMR spectrum in which a singlet and a quartet appeared at 9.72 and 2.40 ppm, respectively. Which ofthe following compounds is the most probable one? .

80.
Increasing order ofbasicity ofthe following molecules is


oOJoN o
NN

HH H I II III IV
I II III IV II III IV I
<I<III<IV (D)II <I<IV<III
81."In a redox reaction, how many moles of iodine will be equivalent to one mole of hydrogen peroxide?
I mole II2 mole moles 4 moles
82. If hydrogen sulphide gas is passed through an acidified solution containing a mixture of the sulphates of cadmium, nickel and zinc, which sulphide/sulphides will be precipitated?
CdS and NiS NiS and ZnS (C)NiS CdS
83. Which among the following compounds/ions are diamagnetic?

CoCl/-and CuCI64.; Cu(SCN) and Ni(C04)


Cu(SCN) and Ni(C04) Ni(C04) and PdCI/­


84. Complete the sentence "A tetrahedron has six ." using one ofthe following choices.
vertices and edges edges faces faces and vertices
85. Which ofthe following fluorides is not formed by xenon?
XeF2 XeF3 XeF6
16



86. Oxygen exists in positive oxidation state in

87. The following reactions are spontaneous and thus proceed to the right as shown below. H2 Cd2
2A ....
g . 2g VJ

Cd2+ Zn2+ Which ofthe foHowing conect1y shows the decreasing order ofoxidizing strength ofions?
Ag+ W Cd2+ Zn2+ Cd2+ W Ag+
W Ag+ Zn2+ Ag+ Cd2+ Zn2+
88.
The ligand used in quantitative (gravimetric) estimation ofaluminium is (A)DMG Glycine (C)EDTA Oxine

89.
Identify the electrically conductive material from the following


Fullerene Diamond

K-salt offullerene
90. If atomic weight of nitrogen is 14.0067, what is the ratio of 15N 15.001] to 14.0037]
0.0036: 1 0.36:1 1:0.36 1:1
91. The number oflone pairs ofelectrons on the central atom in CIF3 and CI03-are, respectively,
2,1 1 1,0
92. Ratio of the number of tetrahedral voids to octahedral voids in cubic close packing (ccp.) arrangement is
1:2 2:1 1:1 3:1
17

J

Booklet code A
93. Consider the carbon skeleton of naphthalene. If the C-C distance in the hexagonal ring is 1.40 which of the rollowing represents the (maximum) length and width of the carbon skeleton?

andA.84 A and <2.80 A


5.60 and 4.20 A 5.60 and 2.80 A


94. The compound with the lowest boiling point among NH3, PH3, AsH3 and SbH3 is
NH3 AsH3 SbH3
95. A solution of a mixture of CaCh and NaCI weighing 4.44 g was treated with sodium carbonate solution to precipitate all the calcium ions as calcium carbonate (atomic mass of Ca 40). The calcium carbonate so obtained was heated strongly and 0.56 g of CaO obtained. The percentage ofNaCI in the mixture is
25 37.5 50 75
96.
A solution of [Cr207f ion can be transformed to [cr04f solution by adding (C)NaOH

97.
The complexes and are examples of



Linkage isomerism Ionization isomerism


Geometrical isomerism Coordination isomerism


98. Concentration of 12 in 50 mL of water is 1.00 x 10.3 M. This iodine can be extracted from water by an organic solvent using a separating funnel. If the distribution coefficient for iodine between the organic solvent and water is 85, the best way of extraction is

Extract with 50.0 mL oforganic solvent once


Extract with 25.0 mL of organic solvent two times


Extract with 10.0 mL of organic solvent five times


Extract with 100.0 mL of organic solvent once


99. Which among the j()lIowing compounds is stable at room temperature?
Ni(CO)s
100. Choose from the following the number of ATP molecules produced in glycolysis.
1 3