University of Hyderabad (UoH) 2009 M.Sc Chemistry entrance - Question Paper

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UNIVERSITY OF HYDERABAD ENTRANCE EXAMINATION - 200X M. Sc. Chemistry

HALL TICKET NUMBER

INSTRUCTIONS

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

2.    Make sure that pages numbered from 1 - 13 are present (excluding pages assigned for rough work).

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

4.    There is negative marking. Each wrong answer carries 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.    Calculators (non-programmable) are allowed.

Which of the following compounds exhibits optical isomerism?

(A) 1-Chloropentane    (B) 1,5-Dichloropentane

(C) 3-Chloropentane    (D) 2-Chloropentane

Identify the atom-economy reaction from the following.

(A) Grignard reaction    (B) Wittig reaction

(C) Diels-Alder reaction (D) Friedel-Crafts reaction

Chiral molecule B has [a]⁰ = +24 for 40% optical purity with (R)-configuration. What will be [a]²⁰ of the molecule B with (S)-configuration having 100% optical purity?

(A) -30

(C) +60

The correct order of stability of carbocations is:

(A)    CH3⁺ > (CH3)2CH⁺ > CH3CH2⁺ > (CH3)3C⁺

(B)    (CH3)3C+ > (CH3)2CH+ > CH3CH2+ > CH3+

(C)    (CH3)3C+ > (CH3)2CH+ > CH3+ > CH3CH2+

(D)    CH3CH2+ > CH3+ > (CH3)3C+ > (CH3)2CH+

H

+

The coordination number of a metal ion situated at the center of a square antiprism of ligand atoms is:

(A) 2

9. The strongest base among the following is: (A) AsH    (B) PH3 (C) NH3

10.    The qualitative test of phosphate is performed in the presence of an acid and (A) Vanadate (B) Arsenate    (C) Permanganate (D) Molybdate

11.    Which of the following is associated with the layer type structure?

(A) Graphite (B) Diamond (C) Fullerene (D) None of these

12.    Which of the following pairs cannot be used to produce hydrogen?

(A) Copper and hydrochloric acid (B) Sodium and ethanol

(C) Iron and sulfuric acid    (D) Iron and steam

13.    Which of the following elements is associated with nitrogen fixing enzyme?

(A) Calcium (B) Nickel (C) Molybdenum (D) Cobalt

14.    In eastern part of India and in Bangladesh many people are affected (skin symptom) by drinking water that contains the toxic element

(A) Hg    (B) Sb    (C) As    (D) Se

16.    Hg²⁺ + 2e^- Hg    E⁰ = 0.85 V Zn²⁺ + 2e^- Zn E⁰ = - 0.76 V

Given the cell potentials shown above, the overall cell potential for the following reaction is

Zn + Hg²+    Zn²+ + Hg

(A) 0.09 V (B) 1.61 V    (C) 0.80 V    (D) 0.18 V

17.    Half lifetime (t_1/2) of a second order reaction is proportional to (where Ao is the initial concentration of reactant)

(A) A₀    (B) A₀²    (C) 1/A₀    (D) Independent of A₀

18.    The equivalent conductance (ohm^-1cm²eqv.^-1) at infinite dilution (A₀) of acetic acid (HAc) will be [Given A₀ (HCl) = 420, A₀ (NaCl) = 126 and A₀ (NaAc) = 91]:

(A)385    (B)637    (C)455    (D)203

19.    20 ml of 0.2 M NaOH and 40 ml of 0.1 M H2SO4 are mixed together in a standard flask and made up to 250 ml. The pH of the resultant solution is closest to:

(A) 5    (B) 6    (C) 7    (D) 8

20.    Copper crystallizes in an fcc lattice with sides 3.61 A. Atomic weight of copper is 63.54. The density of copper can be estimated as:

(A) 3.25    (B) 7.80    (C) 8.97    (D) 9.20

21.    A shell leaves the gun barrel with a speed of 25 ms^-1 at an angle of 45^o from the horizon. Its trajectory (height vs horizontal distance travelled) is

(A) Straight line    (B) Circle (C) Parabola    (D) Hyperbola

22.    The unit vector perpendicular to the plane defined by the two vectors (i + j+ k) and ⁽ⁱ - j ^- k) is

(A) (i - j)/V2 (B) (j - k) / V2 (C)(k - i) / V2 (D) (i - j + k) /V3

23.    If x² + y² + 4x - 6y + k = 0 represents a circle of radius 5 the value of k is (A) 12    (B) -12    (C) 10    (D) -10

24.    In the binary scale the number 55 is represented by

(A)111001 (B)110111    (C)010101    (D)101010

25.    J sin² 9 d9 =

0

(A) 0    (B) n/4    (C) n/2    (D) n

26.    The strongest acid among the following is:

(A) CH3OH    (B) CH3NH2

(C) CH3SH    (D) CH3CH2NH2

27.    The compound with lowest boiling point is

(A) 2-Methylhexane    (B) 3,3-Dimethylpentane

(C) n-Heptane    (D) Cycloheptane

28.    Identify the fastest reacting compound in an S_N² reaction with OH

(A) tert. Butyl chloride    (B) Ethyl chloride

(C) 2,2-Dimethyl-1-propyl chloride (D) Isopropyl chloride

29.    A compound that will give two isomeric olefins on reaction with NaOMe will be: (A) 1-Bromohexane    (B) 3-Bromopentane

(C)    Bromocyclohexane    (D) 1-Phenyl-1-bromoethane

30.    Identify the most appropriate reagent for the conversion of benzamide to benzylamine.

(A) NaBH4 (B) LiAlH    (C) Pd/C/H    (D) KH

31.    Identify the most appropriate C-C bond forming reaction involving the carbocation intermediate.

(A) Cannizzaro reaction    (B) Favorskii rearrangement

(D)    Friedel-Crafts reaction    (D) Benzoin condensation

32.    Identify the achiral molecule from the following.

(A) 2-Amino-2-carboxypropane (B) Alanine (C) 2-Phenylpentane    (D) Lactic acid

33.    Identify the most    appropriate product in the reaction of RCOOH with diazomethane.

(A) RCH2COOH    (B) RCH2OH

(C) RCOOCH3    (D) RCOCH3

^N3

34.    C H₃CH₂I - CH₃CH₂N₃ + I is an example of following reaction type:

2) CO₂

3) H

(A) Kolbe reaction    (B) Cannizzaro reaction

(C) Grignard reaction    (D) Perkin condensation

36.    Identify the alcohol which would be most easily dehydrated among the choices given.

(A) CH3CH2CH2CH2OH (B) CH3CH2CH(OH)CH3 (C) (CH3)2C(OH)CH2CH3 (D) (CH3)2CHCH(OH)CH3

37.    The stability of formation of free radicals is in the following order:

(A)    Tertiary > Secondary > Primary > Methyl

(B)    Tertiary > Primary > Secondary > Methyl

(C)    Methyl > Tertiary > Secondary > Primary

(D)    Methyl > Primary > Secondary > Tertiary

38.    Identify the products that would be formed when acetophenone is reacted with I₂ and NaOH.

(A) CH₃COOH + PhI    (B) PhCOONa + CH₃I

(C) PhCOONa + CHI3    (D) PhCOONa + CH3COONa

39.    The product of the following reaction is:

OH

aq. NaOH

+ CHCl,

'3

(A) o-Hydroxybenzaldehyde    (B) o-Chlorophenol

(C) Benzoquinone    (D)p-Hydroxyphenol

40. The product formed when phthalic anhydride is treated with Zn/acetic acid is:

41. What is the reagent used for the conversion of RCOCH₂R to RCOCOR?

(A) H2O2 (B) SeO2    (C) OsO4    (D) HNO₃/H2SO4

42. Sucrose on hydrolysis with diluted acids gives

(A) D(+)-Glucose and D(-)-Fructose    (B) D(-)-Glucose and D(-)-Fructose

(C) D(+)-Glucose and L(-)-Fructose    (D) 2 molecules of D(+)-Glucose

43. Predict the product of the following reaction.

+ CH₃COOH

OH

OH

(A) (B)

(D)

	OH
OH

44.    The degree of unsaturation of the fatty acid is determined by:

(A) Acid value    (B) Iodine value

(C) Acetyl value    (D) Reichert-Meissl value

45.    The conversion of silver salt of the carboxylic acid to alkyl halide is called:

(A) Hunsdiecker reaction (B) Stephen reaction

(C) Ritter reaction    (D) Vilsmeier reaction

46.    Complete the following nuclear reaction by identifying the missing product.

? + Jh

(B) P^-    (C) p+    (D) ^J8O

47. Select the group of ions corresponding to the larger ion from each pair.

[Co²+, Co³+], [Fe²+, Zn²+], [Na+, F^-], [O², S²']

48.    Complete the sentence: An octahedral complex, MA₄B₂__

(A) Will have two constitutional isomers (B) Will have two stereoisomers

(C) Can not show isomerism    (D) Will be optically active

49.    Which two of the following molecules/ions have planar structures?

(i) XeF4 (ii) ClO4^- (iii) PtCU^- (iv) MnO4^-

(A) i and iii    (B) i and ii    (C) ii and iii    (D) ii and iv

50 When ammonium hydroxide is added to an aqueous solution of copper sulfate, the color of the solution becomes a deeper blue. The reaction taking place is best described as:

(A) Redox (B) Rearrangement (C) Addition (D) Substitution

51.    In acid medium one mole of Fe²+ will be equivalent to how many moles of MnO₄^-? (A) 5 moles (B) 1/5 moles    (C) 2 moles (D) 1/2 moles

52.    The products obtained when chlorine reacts with cold and dilute solution of sodium hydroxide are:

(A) Cl^- + ClO2^-    (B) Cl^- + ClO^-

(C) Cl^- + ClO3^-    (D) Cl^- + ClO4^-

53.    The oxidation states of boron in B₂Cl₄ and oxygen in hydrogen peroxide are, respectively,

(A) +2 and -2    (B) +3 and -1

(C) +2 and -1    (D) +3 and -2

54.    25.4 g of iodine and 14.2 g of chlorine are made to react completely to form a mixture of ICl and ICl₃. The masses of ICl and ICl₃ produced are:

(A) 16.25 g and 7.1 g respectively (B) 32.5 g and 7.1 g respectively

(C) 16.25 g and 23.35 g respectively (D) 25.4 g and 23.35 g respectively

55.    Arrange the following in the order of decreasing size: Ca²+, S^2-, Ar, Cl^-(A) Cl^-< S^2-<Ar< Ca²+    (B) Ca²+< Cl^-< S^2-< Ar

(C) Ca²+< S^2-< Ar< Cl^-    (D) Ca²+< Ar< Cl^-<S^2-

56.    Arrange the following in the order of increasing covalent character:

NaF, NaCl, LiCl, LiBr, LiI

(A) NaF, LiCl, NaCl, LiBr, LiI    (B) LiI, LiBr, LiCl, NaCl, NaF

(C) NaF, NaCl, LiCl, LiBr, LiI    (D) NaCl, NaF, LiI, LiBr, LiCl

57.    Arrange the following in the order of increasing boiling points: HF, HCl, HBr, HI (A) HI < HCl < HBr < HF    (B) HF < HBr < HCl < HI

(C) HCl < HBr < HI < HF    (D) HCl < HF < HBr < HI

58.    Among the following, which two do not contain sulfur?

Galena, Cassiterite, Stibnite, Rutile, Realgar, Cinnabar

(A) Stibnite and Rutile    (B) Realgar and Cassiterite

(C) Galena and Cinnabar    (D) Rutile and Cassiterite

59.    Which of the following is called the third allotrope of carbon?

(A) Graphite (B) Fullerene    (C) Diamond    (D) Carbon nanotube

60.    The Cubic unit cell is defined by:

(A) a b c, a = P = y = 90^o    (B) a = b = c, a = P = y = 90^o

(C) a = b c, a = P = 90^o, y = 120^o    (D) a = b = c, a P y

61.    In the compound [S₂Mo₅O₂₃]^4-, the oxidation state of sulfur is:

(A) 0    (B) +2    (C) +4    (D) +6

62.    How many grams of magnesium sulfide are formed by reacting 0.20 moles of magnesium and 12.8 g of sulfur, if atomic weights of Mg and S are 24 and 32, respectively?

(A) 13.0    (B) 11.2 (C) 12.8 (D) 17.6

63.    Which of the following elements can exist in dry air without reacting?

(A) White P    (B) Rb    (C) Ca    (D) Ag

64.    The metal ion electronic configuration in high-spin octahedral [CoF₆]^3- is:

^{(A) t}2g eg    ^{(B) t}2g eg    ^{(C) t}2g eg    ^{(D) t}2g eg

65.    The metal ion that has zero magnetic moment is:

(A) Cu²+    (B) Cr³+ (C) V⁵+ (D) Mo⁵+

66.    Solutions of the following compounds, all at the same molality, were prepared in a given solvent. Which solution has the lowest freezing point?

(A) KBr    (B) Al(NOs)3    (C) NaNO₂    (D) MgCl₂

67.    A closed vessel maintained at a constant temperature of 0 ^oC contains a mixture of water and ice. The number of degrees of freedom available to the system is:

(A) 0    (B) 1    (C) 2    (D) 3

68.    Units of the van der Waals gas constants, a and b, are respectively:

(A) lit² atm mole^-2 and lit mole^-1 (B) atm lit^-2 mole² and lit^-1 mole

(C) atm^-1 lit² mole^-1 and lit mole^-1 (D) atm lit^-1 mole² and lit^-1 mole

f dS f dP

69.    The Maxwell relation I I = I I implies that for a perfect gas

\dV J_T \dT )_v

(A) S a Rln V    (B) S a RTln V

70.    A 0.5 molal aqueous solution of glucose melts at 272.22 K. The melting point of a 1 molal solution of sucrose will be (Clue: melting point of ice is: 273.15 K):

(A) 271.29 K    (B) 272.22 K    (C) 269.43 K    (D) 272.68 K

71.    The charge of 0.4 mol of electron is equal to:

(A) - 5.79 x 10⁴ C    (B) - 1.00 x 10⁴ C

(C) - 0.4 x 10⁴ C    (D) - 3.86 x 10⁴ C

72.    6.5 mg of a hydrocarbon on combustion gives 11.2 ml of CO₂ and 4.5 ml of water vapour at STP. The empirical formula of the hydrocarbon is:

(A) C5H8    (B) C5H6    (C) C5H4    (D) C5H2

73.    The latent heat of melting of a solid is 330 J gm^-1 at its melting point (300 K). The change in the entropy of a 2.0 gm sample when it melts at 300 K is:

(A) 0.55 JK^-1 (B) 2.2 JK^-1    (C) 0.45 JK^-1    (D) 0.9 JK^-1

74.    The rate law for the single-step reaction, A + 2B C is:

(A) k [C]    (B) k [C]/{[A] [B]²}

(C) k [A] [B]² / [C]    (D) k [A] [B]²

75.    The heats of formation of CO and CO₂ are - 110.5 and - 393.5 kJ/mol, respectively. The heat of reaction of CO + V2 O₂ CO₂ is

(A) -283 kJ/mole (B) -141.5 kJ/mole (C) + 141.5 kJ/mole (D) +283 kJ/mole

76.    Boron doped silicon is:

(A) An intrinsic semiconductor    (B) A p - type semiconductor

(C) An n - type semiconductor    (D) A superconductor

77.    The entropy change in an isolated system for a reversible process is:

(A) High (B) Low    (C) Zero    (D) Indeterminable

78.    The product of the melting point and the entropy of fusion at constant pressure is called:

(A) Gibbs free energy    (B) Enthalpy of fusion

(C) Helmholtz free energy    (D) Specific heat

79.    The bond dissociation energy is in the following order:

(A)    O - H > H - H > N - H > C - C

(B)    C - C > N - H > H - H > O - H

(C)    O - H > H - H > C - C > N - H

(D)    C - C > O - H > H - H > N - H

80.    Several metal oxides exist in nonstoichiometric state. In a sample having the formula TiO₁₁, the ratio of Ti³+ / Ti²+ is:

(A) 0.10    (B) 0.25    (C) 0.33    (D) 0.67

81.    If the 1^st and 2^nd Balmer lines of the hydrogen atom appear at 1.523 x 10⁴ and 2.056 x 10⁴ cm^-1. The 3^rd line should appear at:

(A) 2.216 x 10⁴ cm^-1    (B) 2.303 x 10⁴ cm^-1

(C) 2.504 x 10⁴ cm^-1    (D) 2.775 x 10⁴ cm^-1

82.    The de Broglie wavelength of an electron (m_e = 9.109 x 10^-31 Kg) traveling at a speed of 2.998 x 10⁶ ms^-1 is (given h = 6.626 x 10^-34 Js):

(A) 1.215 x 10^-10 m    (B) 3.645 x 10^-10 m

(C) 2.43 x 10^-10 m    (D) 4.86 x 10^-10 m

83.    The process of dispersion of a precipitate into colloidal state is called:

(A) Coagulation    (B) Tyndall Effect

(C) Flocculation    (D) Peptisation

84.    A 0.001 M solution of a substance has an absorbance of 0.1 at a given wavelength with a 1 cm pathlength cuvette. The molar extinction coefficient at this wavelength is:

(A) 10 M^-1cm^-1    (B) 100 M^-1cm^-1 (C) 1 M^-1cm^-1 (D) 1000 M^-1cm^-1

85.    Two compounds A and B, which interact reversibly to form a complex AB were mixed in a vessel at equal ratio. If the resultant concentration of each compound at the time of mixing is 0.21 M and after equilibrium is established the complex concentration is 0.2 M, the association constant K_a is:

(A) 2.0 x 10 M^-1    (B) 2.0 x 10¹ M^-1

(C) 2.0 x 10² M^-1    (D) 2.0 x 10³ M^-1

86.    j dx/(16 - x²) =

(A) ln %    (B) 3 ln /    (C) / ln 3    (D) 4 ln 1/3

87.    The area of the triangle with vertices P(2, -3, 1), Q(1, -1, 2), R(-1, 2, 3) is:

(A) V2 /3 (B) 2 s    (C) 3 V2    (D) V3 /2

88.    The complex number (1 -V3i) in polar form reads

(A) 2 cis 5n/3    (B) 2 cis 0 (C) 2 cis 3n/3    (D) 2 cis n/3

89.    If two distinct numbers are chosen randomly from the first 50 natural numbers, the probability that both numbers are divisible by 6 is:

(A) 4/175 (B) 4/25    (C) 16/625    (D) 16/1175

98. A discontinuous function among the following is: (A) Sin x    (B) Cos x (C) Tan x

99. Consider a sphere and a cube of maximum volume that can be cut out of the sphere. The ratio of the volume of the sphere to that of the cube is:

13