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University of Hyderabad (UoH) 2011 M.Sc Chemistry Entrance for - Question Paper

Tuesday, 11 June 2013 11:05Web



BOOKLET CODE

B


Invigilators Signature

ENTRANCE EXAMINATION - 2011 M. Sc. Chemistry

MAXIMUM MARKS: 100

TIME: 2 HOURS


HALL TICKET NUMBER:

BOOKLET CODE: _

INSTRUCTIONS

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

2.    Make sure that pages numbered from 1 - 18 arc present (excluding pages assigned for rough work).

3.    There arc 100 questions in this paper. All questions carry equal marks.

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.    Hand over both the question paper booklet and OMR answer sheet at the end of the examination.

7.    In case of a tie, the marks obtained in the first 25 questions (PART-A) will be used to determine the order of merit.

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

9.    Only non-programmable calculators are allowed.

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

Useftil Constants:

Rydberg constant = 109737 cm'1; Faraday constant = 96500 C; Planck constant = 6.625 x 10 34 J s; Speed of light = 2.998 x 10* m s'1; Boltzmann constant = 1.380 x 1023 J K'1; Gas constant = 8.314 J K 'mor1; Mass of electron = 9.109 x 10'31 kg; Mass of proton = 1.672 x 1027 kg; Charge of electron = 1.6 x 1019 C; 1 D = 3.336 x 10"30 C m; 1 bar = 102 N m"2; RT/F = 0.059 V

PART - A

1. Which two colors of light cause the highest rate of photosynthesis? (A) Blue and green    (B) Red and blue

(C) Red and green    (D) Green and yellow

x* + x3 + x2 + x+1

2. The remainder of - - - - - is

JE-1

(A) 1    (B) 5    (C)3    (D) 7

3. Predict the sign of AS for both of the following processes

I.    2 C (graphite) + 02 (g) -* 2 CO; (g)

II.    C4H10 Of) * C4H10 (/)

(A)    AS should be negative for I and positive for II

(B)    AS should be negative for I and negative for II

(C)    AS should be positive for I and positive for U

(D)    AS should be positive for I and negative for II

5. An intermediate in racemization of (/?)-3-phenyl-2-butanone is

CH3

ChU    CH3

iJCGH3 _ NOH >


O    aq. EtOH    0

n    I*/

CH,

VH

ch3

H3C OH h-COEt H CH3

(D)tK


9H3 OH

H CH2

ch2

(C) Ph    (D) F

CH3

6. The value of (1) is

(A) -1    (B )i    (C) e~2*

7. Doubling all the coefficients in the equation for a cell reaction

(A)    doubles E, but does not change AG

(B)    doubles AG, but does not change E

(C)    does not change E or AG

(D)    doubles both F and AG11


(A)


N COOH ' N COOH

COOH



(B)


(C)


a > or    > ,

N COOH N    N

COOH

CL. > 6    > O'""


8. The rate of decarboxylation of isomeric carboxylic acids is

COOH


COOH

lNJ >    >



, > 0 > O'

OOH

COOH


(D)


9.    The packing efficiency in the hep, bcc and simple cubic (sc) lattices are in the order

(A) bcc > hep > sc    (B) hep > bcc > sc

(C) hep > sc > bcc    (D) sc > hep > bcc

10.    If Cos A = x; then CosAA =

(A)4x    (B) 8 x4 - 8 x2 +1    (C) 4 x4 - 4 x2 +1 (D)2x2+1

11.    The nickel-cadmium cell has a standard potential of + 1.20 V. The cell reaction is 2 NiO(OH) (j) + Cd (j) + 2H20 (/) - 2 Ni(OH)2 (j) + Cd(OH)2 (j)

What is the standard free energy change for this reaction?

(A)-232 kJ    (B)-38.7kJ    (C)- 116kJ    (D)-46.3kJ

12.    The major product of the following reaction is

(i)    MeMgl

Cu

(ii)    H30

CC - Co*

,c> ocr ,di os,

13.    Cul2 is unstable and it readily decomposes to

(A) Cu and F    (B) Cu! and I2 (C) Cu and 12    (D) Cul and I~

IS. Which of the following is necessary for a process to be spontaneous (AS = change in entropy)?

(A) ASgyatcm > 0    (B) ASUnivene 0

(C) ASgygtcm < 0    (D) ASgunoundingi < 0

16. The strongest Br0nsted acid among the following is

Or"


a"


(A)


(B)


COOH Cl


COOH


a


.a-


(C)


(D)


17. A sample of water contains 200 ppm of Ca2+. What is the molality of the solution with

respect to Ca2+? Atomic weight of Ca is 40.

(A) 0.2 m    (B) 2 m    (C) 5 x 103 m

(D) 0.05 m


18.    Consider the plot of the function y = 1/x. The tangent to this curve drawn at the point (1,1), will cut the x- axis at:

(A) (1,0)    (B) (V2,0)    (C)(l, \'2)    (D) (2,0)

19.    X-ray diffraction study of a crystal with a simple cubic lattice structure shows diffraction from the (110) plane appearing at the Bragg angle 0 = 20. The angle at which the diffraction from the (220) plane will appear is

(A) 9.8"    (B) 10    (C) 40*    (D) 43*

20. The IUPAC name for the following compound is

/=CH2

h3c\

CHg

(A) 4-vinyl-2-pentync

(C) 3-methylhex-4-yn-1 -ene

(B) 3-methylhex-l-en-4-yne

(D) 4-methylhex-2-yn-5-cne


\Ml

21.    Which one among the following chlorides is dissociated to the least extent in aqueous solution?

(A)HgCl2    (B) ZnCl2    (C)BaCl2    (D)A1C13

22.    The sides of a triangle are of length 3.0,4.0 and 5.0 cm. If the side with length 5.0 cm is the base, what is the height of the triangle?

(A) 2.4 cm    (B) 2.8 cm    (C) 3.4 cm    (D) 4.0 cm

A

23.    Consider the equilibrium X'ss=!- 2Y with equilibrium constant, Kc = 3.6 M at 25 C. If the initial concentrations are [X]o = 1.0 M and [Y]o = 0.0 M, the equilibrium concentration of X at 25C, [X]*, is

(A) 0.33 M    (B) 0.36 M    (C)0.40M    (D)0.60M

24. The major product expected from the following reaction is

h2o

=-v    H2S04

HgS04 ,OH CH3


OH OH

'vSvch3


(A)


(B)


H3C


O


(C)


(D)


h3c


h3c


ch2


XT


ch3


25. Which of the following is not a crystalline substance?

(A) Graphite    (B) Charcoal    (C) Diamond

(D)C,


26. How many milliliters of 2 M NaCl solution are required to make one litre of 0.4 M NaCl solution by adding water?

(A) 5000 ml    (B) 800 ml    (C) 200 ml    (D)20ml

27. Which of the following compounds is aromatic?

(A) Qbh    (B) Q"

Oh (d> 0

(C)


H

28.    A 0.01 M solution of a compound transmits 20 % of visible light when the absorbing path length is 1.5 cm. What is the molar extinction co-efficient of the substance? Solvent is assumed to be completely transparent.

(A) 46.6 M'W (B) 50.3 W'cm*1 (C) 22.3 M'W (D) 43.6 M cm'1

29.    Which of the following atoms has the highest number of unpaired electrons in its ground state?

(A) C    (B) N    (C) O    (D) F

30. Which of the following compounds has the highest boiling point?

(A) Toluene    (B) Benzene

(C) Mesitylene    (D) Cyclohexane

31. The best method for the following transformation is

(A) acid mediated hydration    (B) hydroboration-oxidation

(C) oxymercuration-demercuration    (D) ozonolysis-reduction

32.    The concentration of Ba2+ in saturated BaSCU solution at 27 C is 1.04 x 10'5 M. What is the solubility product (K*p) for BaSCU at this temperature?

(A) 1.04 x 10'10 M    (B) 2.08 x 10*5 M

(C) 0.52 x 10'10 M    (D) 1.08 x 1010 M

33.    What is the hybridization of sulfur in SF4?

(A) sp2    (B) sp3    (C) sp3d    (D) sp2d2

34.    The ester that undergoes acid hydrolysis most readily is

CO2M6    CO2M6

" * 6..

C02Me    C02Me

<C)    (D) fS

35.    If the half-life of a reaction is independent of its initial concentration, then the reaction may be categorized as

(A) zeroth order    (B) first order

(C) second order    (D) bimolecular

36.    Which one of the following statements do not apply to interhalogen compounds?

(A) Always obey octet rule    (B) Could be cationic

<

(C) Could be anionic    (D) Could be neutral

37.    The product obtained by the reaction of one equivalent of 1 -bromo-3-chlorocyclobutane and two equivalents of Na is:

(A) H    (B)

/C]

(C) O    (D) 1

VH)

38.    Which of the following pair has the lowest interfacial tension?

(A) rz-decane/water    (B) n-butane/water

(C) air/water    (D) rc-octyl alcohol/water

39.    The gas pressure in an aerosol container is 1.5 atm at 25 C. Assuming an ideal behavior of the gas, if the container is heated to 450 C, the pressure would be close to

(A) 1.023 atm (B) 1.234 atm (C) 3.639 atm (D) 2.639 atm

40.    The order of increasing dipole moment among H2S, H2O and BF3 is

(A) BF3 < H2S < H20    (B) H20 < H2S < BF3

(C) H2S < H20 < BF3    (D) BF3 < H20 < H2S

41.    The graph of the equation 4(x2 - 4x) - 9 (y2 - 2y) - 29 = 0 represents a

(A) parabola    (B) ellipse    (C) circle    (D) hyperbola

42.    Using Wade's rule predict the structure of B5H9

(A)closo    (B)nido    (C)arachno    (D) scorpionato

43.    In the SnI solvolysis of the following primary alkyl chlorides in aqueous ethanol, the order of decreasing reactivity is

H3cCl Cl H3C'-a -X"

I    II    III    IV

(A) I > n > m > rv    (B) 11 > 1 > in > iv

(C) iv > m > 11 > 1    (D) m > 11 > 1 > iv

44.    A solution of sulfuric acid contains 86 g of H2S04 per liter of solution. The normality of the solution is

(A) 2.0 N    (B) 0.9 N    (C)1.8N    (D)1.0N

45.    The equation of the norma! line to y = x3 - 2x2 + 4 at (2,4) is

(A) y =    (B)y = 9x + 4 4 2

(C) y = 4x+-    (D) y = -9x+~

2    4

46.    The heat of reaction of both the reactions 2 KOH + H2SO4 K2SO4 + 2H2O and Mg(OH>2 + H2SO4 MgS04 +2 H2O is -27.2 kcal/mol. Hence the heat of reaction of 3 Ca(OH>2 + 2 H3PO4 Ca3(P04)2 + 6 H20 would be

(A) -81.6 kcal/mol    (B) -27.2 kcal/mol

(C) -13.6 kcal/mol    (D) -68.0 kcal/mol

47.    The standard equation of a circle passing through the points u (3, 8), v (9,6) and w (13, -2) is

(A) (x - 2)2 + (y - 3 )2 = 100    (B) (x + 3)2 + (y +2)2 = 100

(C) (x - 2)2 + (y +3)2 = 100    (D) (x - 3)2 + (y +2)2 = 100

48.    Acid is used in the standardization titration of KMn04 against sodium oxalate because

(A)it    helps in dissolving KMn04.

(B)    it stabilizes permanganate ion.

(C)    it facilitates the reduction of Mn7+ to Mn2+.

(D)it    helps in dissolving the Mn(>2 formed during titration.

49.    Which of the following covalent compounds does not have any formally charged atom?

(A) (CH3)3NO    (B) CH3ONO    (C) CH2N2 (D) CH3CNO

50.    The two radial nodes in the 3s radial function of H atom occur at the distances R1 and R2 from the nucleus. The three radial nodes in the 4s orbital occur at R3, R4 and R5. The order of these distances is given by

(A) R3<R1<R4<R2<R5    (B) R1 < R3 < R4 < R2 < R5

(OR3<R1<R2<R4<R5    (D)R3<R1 <R4<R5<R2

51.    The oxidation number of carbon in dimethyl ether is

(A) 1    (B) -1    (C)-2    (D) 2

52.    The complex number 2 - 2V3i in polar form is given by

(A) 2*'    (B) 4e'2    (C)    (D)

53.    Compound I gives a strong infrared absorption at 1730 cm'1. *H NMR spectrum indicates that it has two types of hydrogen atoms; one H atom appearing as singlet at 8 = 9.7 ppm and 9 H atoms appearing as a singlet at 5 = 1.2 ppm. The structure of I is

ch3    ch3

(A) HT-CHO    (B) h3CCHO

/CH3

(C) H3C~\/CHO    (D) Jf

H,C CHO

54.    In a titration experiment, the end point indicates

(A) neutralization point    (B) completion of precipitation

(C) exact equivalence point    (D) apparent equivalence point

55.    The structures I and II, shown below, correspond to:

H3Cv/C00H u c cooh

3 T,,h    H3C nh2

OH    h

I    II

(A) 5-lactic acid and 5-alanine    (B) fl-lactic acid and fl-alanine

(C) /Mactic acid and 5-alanine    (D) 5-lactic acid and fl-alanine

56.    An extensive property of a thermodynamic system among the following is

(A) Pressure    (B) Volume    (C) Temperature (D) Concentration

\M I

(i) BH3-THF

Et02C C02H (')

w



H/Me

(A)    n    (B)

ho2c co2h

Ha. Me

(C) fl    (D)

58. The number of unpaired electrons in the complex ion is in the order

2-

(A)    CuCL,2- < NiCl/" < ZnC\/~ < CoCl/"

(B)    ZnCl42' < CuCL*2" CoCl42- NiCl42"

(C)    ZnCl42 < CoCl42" < NiCl42" < CuCl42*

(D)    ZnCU2 < CuCLf" < NiCl42' < CoCU2-

59. If F(x) = xx then limF(jc) =

(A) 1    (B) 0    (C)

(D)e


60. The metal ion involved in the water oxidation process at the active site of photosystem

II is

(A) Mn    (B) Mg (C) Mo    (D) Fe

nh2


61. The order of basicity of the following substituted anilines is

nh2

NH?

nh2

1 *

s

/

z

CM

O

rS

J' no2

no2

V

ch3

ch3

II

III

IV

(B) IV > III > 1 > II

(A) I > II > III > IV


(D) iv > i > m > n

62.    According to crystal field theory, the 9th electron of the metal centrc in square planar [Cu(NH3)4]2+ resides in

(A)dxl_yJ    (B) dxy    (C)d7,    (D)dw

63.    The rotation of pure /?(+)-Limonene is +123.0. Calculate the % of the (+) isomer in a sample showing a rotation of +109 ?

(A) 8.6    (B) 77.2    (C) 82.9    (D) 94.3

64.    An ideal gas undergoes isothermal and reversible expansion from its initial volume to some final volume at 300 K drawing in 90 kJ of heat. The change in the Gibbs free energy of the gas is

(A) 300 J    (B) 0 J    (C) 150 J    (D) -300 J

i

65.    For 0 < x< 1, lim fnxe~** dx =

n**

0

(A)    (B)oo    (C)0    (D) 2

66.    The magnetic quantum number of the last electron in the atom with atomic number 21 is (A) 4    (B) 3    (C)l    (D) 2

67.    If the number e9' is marked as a point on the complex plane, what is the distance of the point from the origin?

(A) 1    (B) 3    (C) 9    (D)fan;9

68.    What is the electronic configuration of V3+?

(A) [Kr]3d2    (B) [Ar]3d2    (C) [Ar]3d3    (D) [Kr] 3d3

69.    The hybridization that is common for at least one of the carbon atoms in hydrogen cyanide, carbon disulfide, allene and carbon monoxide is

(A) sp3    (B) sp2    (C) sp    (D) dsp3

VH)

70.    Which one among the given functions has the smallest slope at x = 1?

(A) 2jc2 - 3    (B)2-l    (C) 2k2 - 2*    (D)2j<?-x

71.    The intermediate acid involved in the following reaction is

A

NH4(CNO) -- NH2CONH2

(A) uric acid    (B) cyanuric acid (C) thiocyanic acid (D) cyanic acid

72.    50 mL of 0.04 M HC1 solution was mixed with 50 mL of 0.02 M AgN03 solution, stirred and filtered. The pH of the filtered solution is

(A) 1    (B) 3    (C) 2    (D) 4

73.    (1 + 2/)'1 is equal to

(A) 1 - 2i    (B) (1/5) - (2/5)i

(C) (1/3) - (2/3)/    (D) - (1/3) + (2/3)/

74.    Which of the following fluorides is angular?

(A) SnF2    (B) ZnF2    (C) BeF2    (D) XeF2

75.    The more reactive dienophile among the following for the reaction with cyclopentadiene is

.C02Et    92Et

(A) f    (B) EI02C-

cn

(C) (D)

O

76.    The two strands of double helical DNA are associated by hydrogen bonds between adenine (A) and thymine (T), and between guanine (G) and cytosine (C). The numbers of hydrogen bonds between A-T and G-C pairs, respectively are:

(A) one, two    (B) two, two    (C) three, two    (D) two, three

77. The intermediate involved in Curtius rearrangement is

(A) carbenium ion    (B) carbanion

(C) nitrene    (D) carbene

78. An organic compound on decomposition at 500 C and 1 atm. pressure released 2 mL each of carbon monoxide, nitrogen and water vapour. The empirical formula of the molecule is

(A) CHNO    (B) CH2NO    (C) CH2N20    (D) CH2N202

79. -j-exp[r2] = at

(A) 2fexp(r)    (B) expCr2)

(C) 1/r2    (D) (112t)exp(t2)

80.    Nesslers reagent is prepared by mixing a solution of KI with a solution of X and then adding KOH solution. Here X is

(A) ZnCl2    (B) HgCl2    (C) A1C13    (D) TiCl4

81.    According to the equation 2Fe3'1 +21     I2 + 2Fe2+

how many grams of iodine can be produced by reacting 7.4 mols of Fe3+ and 7.0 mols of r ? [At. Wt. of iodine is 127]

(A) 8.9 x 102 g (B) 9.1 x 10: g (C)9.4xl02g (D)17.8xl02g

82.    The most appropriate spectroscopy for the identification of a nitrile group is (A) IR    (B)*HNMR    (C)UV    (D)ESR

83.    If the units for rate are M s'1, what are the units for the rate constant, k, for a zeroth-order reaction?

(A) s'1    (B)Ms1    (C) M'V1    (D) M'1

VH I

84. The function with a finite range is (A) e*    (B)

85.    How many grams of coppcr will be produced when 27 g of aluminium is added to excess cupric sulphate solution? [At. wts.; A1 = 27, Cu = 63.5]

(A) 63.50    (B) 90.50    (C) 95.25    (D) 122.25

86.    Given that 1SF undergoes 90 % radioactive decay in 366 min., the half life (ti/2) for 18F is (A) 220 min. (B) 110 min.    (C) 154 min.    (D) 3473 min.

87. The phcnolic compound among the following is:

(A) Ibubrufen (B) Paracetamol (C) Penicillin

(D) Camphor


88. What is the hydroxide ion concentration of a solution that has a pH of 11.20?

(A) 6.31xl0'12 M (B) 11.20 M    (C)1.58xl03M (D)2.80M

89. For all values of x which determinant among the following is zero?

x 1

1 x

1 X

1 jc2

(A)

1 X

(B)

(C)

X 1

(D)

X X2

x 1

90. The conductivity of sodium dodecyl sulfate (SDS) solution exhibits a sharp transition around 8 mM concentration. This is becausc:

(A)    SDS prccipitatcs beyond 8 mM concentration.

(B)    SDS undergoes hydrolysis above 8 mM concentration.

(C)    SDS forms a gel above 8 mM concentration.

(D)    SDS forms micelles above 8 mM concentration.

91. Assuming the additivity of covalent radii [C 0.77 A, Br 1.14 A], and assuming the distance between adjacent carbon atoms in the ring as 1.40 A, the distance between the centres of bromine atoms in 1,2-dibromobenzene is (A) 3.31 A    (B) 3.42 A . (C) 4.20 A    (D) 2.28 A

92.    The number of stereoisomers for CHD=CH-CH=CHD is

(A) 4    (B) 8    (C)2    (D) 6

93.    The entropy change associated with the expansion of one mole of an ideal gas from an initial volume of V to a final volume of 2.50 V at constant temperature is (R = gas constant)

(A) AS = - R In 2.50    (B) AS = - 2.50 R In (Vf/Vj)

(C) AS = 2.50 R In (Vf/Vj)    (D) AS = R In 2.50

94. The smallest among the following integrals is

i t    i

(A) \edx (B) \e~xdx (C) fedx    (D) fe'dx

o o n    o

95.    The quaternary structure of human hemoglobin is a

(A)    dimer of two myoglobin dimers.

(B)    tetramcr of identical subunits.

(C)    tetramcr of four different subunits.

(D)    tetramcr of two different subunits.

96.    The number of isomers having non-zero dipole moment for PCI2F3 in the trigonal bipyramidal geometry is

(A) 2    (B) 3    (C)l    (D) 0

97.    The most appropriate reagent for the conversion of RCOOMe into RCH2OH is

(A) NaBH4    (B) NaH    (C) UBH4    (D) Pd/C and H2

98.    Which of the following statements must be true for the entropy of a pure solid to be zero?

(I)    The temperature must be 0 K.

(II)    The solid must be crystalline, not amorphous.

(III)    The solid must be perfectly ordered.

(IV)    The solid must be an element.

(A) I    (B) I and II    (C) I, II and in    (D) 1, n, m and IV

99.    The function with exactly two minima and one maximum, among the following is (A) x4 - x2 - x (B) x + x2 - x4 (C) x3 - x2 - x (D)x + x2-x3

100.    Collagen is

(A)    an a-helical structural protein.

(B)    a coiled-coil protein found in hair.

(C)    a cross-linked globular protein.

(D)    a triple-helical fibrous protein.

18

1

The compounds ZnO and FeO show

(A)    stoichiometric and metal excess defects, respectively.

(B)    metal excess and stoichiometric defects, respectively.

2

(C)    metal deficiency and metal excess defects, respectively.

(D)    metal excess and metal deficiency defects, respectively.







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