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IIT-JEE - 2001 Prelims Mathematics 1. The maximum value of (cosα 1 ).(cosα 2 )...(cosα n ), under the restrictions 0 ≤ α 1 , α 2 , ...., α n π/2 and (cot α 1 ).... (cot α n ) = 1 is 1) 1/2 n/2 2) 1/2 n 3) 1/2n 4) 1 2. A man from the top of a 100 metres high tower sees a car moving towards the tower at an angle of depression of 30°. After some time, the angle of depression becomes 60°. The distance (in metres) travelled by the car during this time is 1) 100√3 2) (200√(3))/3 3) (100√(3))/3 4) 200√3 3. If α + β = (π/2) and β + γ = α, then tan α equals 1) 2 (tanβ + tanγ) 2) tanβ + tanγ 3) tanβ + 2tanγ 4) 2tanβ + tanγ 4. If sin -1 (x - (x 2 /2) + (x 3 /4) - ....) + cos -1 (x 2 - (x 4 /2) + (x 6 /4) - ....) = (π/2) for 0 < |x| < √2, then x equals 1) 1/2 2) 1 3) -(1/2) 4) -1 5. The value of 1) π 2) aπ 3) π/2 4) 2π 6. Let depends on 1) only x 2) only y 1/21 eng.edooni.com FaaDoOEngineers.com

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IIT-JEE - 2001

Prelims

Mathematics

1. The maximum value of (cosα1).(cosα2)...(cosαn), under the restrictions 0 ≤ α1, α2, ...., αn ≤ π/2 and (cot α1).... (cot αn) = 1 is

1) 1/2n/2

2) 1/2n

3) 1/2n

4) 1

2. A man from the top of a 100 metres high tower sees a car moving towards the tower at anangle of depression of 30°. After some time, the angle of depression becomes 60°. Thedistance (in metres) travelled by the car during this time is

1) 100√3

2) (200√(3))/3

3) (100√(3))/3

4) 200√3

3. If α + β = (π/2) and β + γ = α, then tan α equals

1) 2 (tanβ + tanγ)

2) tanβ + tanγ3) tanβ + 2tanγ4) 2tanβ + tanγ

4. If sin-1 (x - (x2/2) + (x3/4) - ....) + cos-1(x2 - (x4/2) + (x6/4) - ....) = (π/2) for 0 < |x| < √2, thenx equals

1) 1/2 2) 1 3) -(1/2) 4) -1

5.The value of

1) π 2) aπ 3) π/2 4) 2π

6. Let

depends on

1) only x

2) only y

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3) NEITHER x NOR y

4) both x and y

7. The number of solution of log4(x -1) = log2(x - 3) is

1) 3 2) 1 3) 2 4) 0

8. Which of the following function is differentiable at x = 0 ?

1) cos (|x|) + |x|

2) cos (|x|) - |x|

3) sin (|x|) + |x|

4) sin (|x|) - |x|

9. If are unit vectors, then

does NOT exceed

1) 4 2) 9 3) 8 4) 6

10. Let f(x) = (αx/(x + 1)), x ≠ -1. Then, for what value of α is f (f(x)) = x ?

1) √2 2) -√2 3) 1 4) -1

11. In the binomial expansion of (a - b)n, n ≥ 5, the sum of the 5th and the 6th terms is zero.Then (a/b) equals

1) (n - 5)/6

2) (n - 4)/5

3) 5/(n - 4)

4) 6/(n - 5)

12. Let α β be the roots of x2 - x + p = 0 and γ, δ be the roots of x 2 - 4x + q = 0. If α, β, γ, δare in G.P., then the integral values of p and q respectively, are

1) -2, -32

2) -2, 3

3) -6, 3

4) -6, -32

13. Let f(x) = (1 + b2)x2 + 2b x + 1 and let m(b) be the minimum value of f(x). As b varies, therange of m(b) is

1) [0, 1]

2) (0, 1/2]

3) [1/2, 1]

4) (0, 1]

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14. The number of distinct real roots of | sin x cos x cos x | | cos x sin x cos x | = 0 | cos x cos x sin x |in the interval – (π/4) ≤ x ≤ (π/4) is

1) 0 2) 2 3) 1 4) 3

15. If f(x) = x ex(1 - x), then f(x) is

1) increasing on [-(1/2), 1]

2) decreasing on R

3) increasing on R

4) decreasing on [-(1/2), 1]

16. Let f : R → R be a function defined by f(x) = max (x, x3). The set of all points where f(x) isNOT differentiable is

1) {-1, 1}

2) {-1, 0}

3) {0, 1}

4) {-1, 0, 1}

17.Let f : (0 ∞) → R and F(x) = If F(x2) = x2(1 + x), then f(4) equals

1) 5/4 2) 7 3) 4 4) 2

18.

1) -π 2) π 3) π/2 4) 1

19. The left-hand derivative of f(x) = [x] sin(πx) at x = k, k an integer, is

1) (-1)k (k - 1)π2) (-1)k - 1 (k - 1)π3) (-1)k kπ4) (-1)k - 1 kπ

20. The equation of directrix of the parabola y2 + 4y + 4x + 2 = 0, is

1) x = -1

2) x = 1

3) x = -(3/2)

4) x = (3/2)

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21. Area of the, parallelogram formed by the lines y = mx, y = mx + 1, y = nx and y = nx + 1equals

1) |m + n|/(m - n)2

2) 2/|m + n|

3) 1/|m + n|

4) 1/|m - n|

22. The number of integer values of m, for which x-coordinate of the point of intersection ofthe lines 3x + 4y = 9 and y = mx + 1 is also an integer, is

1) 2 2) 0 3) 4 4) 1

23. Let AB be a chord of the circle x2 + y2 = r2 subtending a right angle at the centre. Then thelocus of the centroid of the triangle PAB as P moves on the circle is

1) a parabola

2) a circle

3) an ellipse

4) a pair of straight lines

24. Let PQ and RS be tangents at extremities of the diameter PR of a circle of radius r. If PSand RQ intersect at a point X on the circumference of the circle, then 2r equals

1) √(PQ . RS)

2) ((PQ + RS)/2)

3) (2PQ . RS)/(PQ + RS)

4) √(PQ2 + RS2)/2

25. The equation of the common tangent touching the circle (x - 3)2 + y2 = 9 and the parabolay2 = 4x above the x-axis is

1) √(3) y = 3x + 1

2) √(3) y = - (x + 3)

3) √(3) y = x + 3

4) √(3) y = - (3x + 1)

26. If f : [1, ∞) → [2, ∞) is given by f (x) = x + (1/x) then f -1 (x) equals

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1) ((x + √(x2 - 4))/2)

2) x/(1 + x2)

3) ((x - √(x2 - 4))/2)

4) 1 + √(x2 - 4)

27. The triangle formed by the tangent to the curve f(x) = x2 + bx - b at the point (1, 1) and thecoordinate axes, lies in the first quadrant. If its area is 2, then the value of b is

1) -1 2) 3 3) -3 4) 1

28. The domain of definition of f(x) = (log2(x + 3))/(x2 + 3x + 2) is

1) R\ {-1, -2}

2) (-2 , ∞)

3) R\ {-1, -2, -3}

4) (-3, ∞) \ {-1, -2)

29.Let g(x) = 1 + x - [x] and . Then for all x, f(g(x)) is equal to

1) x 2) 1 3) f(x) 4) g(x)

30. The complex numbers z1, z2 and z3 satisfying ((z1 - z3)/(z2 - z3)) = ((1 - i√(3))/2) are thevertices of a triangle which is

1) of area zero

2) right-angled isosceles

3) equilateral

4) obtuse-angled isosceles

31. Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are

1) NOT in A.P./G.P./H.P.

2) in A.P.

3) in G.P.

4) in H.P.

32. Let Tn denote the number of triangles which can be formed using the vertices of a regularpolygon on n sides. If Tn + 1 – Tn = 21, then n equals

1) 5 2) 7 3) 6 4) 4

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33. Let E ={1, 2, 3, 4} and F = {1, 2}, the number of onto functions from E to F is

1) 14 2) 16 3) 12 4) 8

34. If the sum of the first 2n terms of the A.P. 2, 5, 8, ..., is equal to the sum of the first n termsof the A.P. 57, 59, 61, ... , then n equals

1) 10 2) 12 3) 11 4) 13

35. Let z1 and z2 be nth roots of unity which subtend a right angle at the origin. The n must beof the form

1) 4k + 1

2) 4k + 2

3) 4k + 3

4) 4k

Physics

36. P-V plots for two gases during adiabatic processes are shown in the figure. Plots 1 and 2should correspond respectively to

1) He and O2

2) O2 and He

3) He and Ar

4) O2 and N2

37. Two pulses in a stretched string whose centers are initially 8 cm apart are moving towardseach other as shown in the figure. The speed of each pulse is 2 cm./s. After 2 seconds,the total energy of the pulses will be

1) zero

2) purely kinetic

3) purely potential

4) partly kinetic and partly potential

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38. A hemisphrical portion of radius R is removed from the bottom of a cylinder of radius R.The volume of the remaining cylinder is V and its mass is M. It is suspended by a string ina liquid of density ρ where it stays vertical. The upper surface of the cylinder is at a depthh below the liquid surface. The force on the bottom of the cylinder by the liquid is

1) Mg

2) Mg - Vρg

3) Mg + πR2hρg

4) ρg(V + π R2h)

39. The ends of a stretched wire of length L are fixed at x = 0, and x = L. In one experiment,the displacement of the wire is y1 = A sin(πx/L) sin ω t and energy is E1 and in another experiment its displacement is y2 = A sin (2πx/L)sin 2ω t and energy is E2. Then

1) E2 = E1

2) E2 = 2E1

3) E2 = 4E1

4) E2 = 16E1

40. When a block of iron floats in mercury at 0°C, a fraction k1 of its volume is submerged,while a the temperature 60°C a fraction k2 is seen to be submerged. If the coefficient ofvolume expansion of iron is γ Fe and that of mercury is γ Hg, the n the ratio k1/k2 can beexpressed as

1) (1 + 60γFe)/(1 + 60γHg)

2) (1 - 60γFe)/(1 + 60γHg)

3) (1 + 60γFe)/(1 - 60γHg)

4) (1 + 60γHg)/(1 + 60γFe)

41. Three rods made of the same material and having the same cross-section have beenjoined as shown in the figure. Each rod is of the same length. The left and right ends arekept at 0oC and 90°C respectively. The temperature of the junction of the the three rodswill be

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1) 45°C

2) 60°C

3) 30°C

4) 20°C

42. In a given process of an ideal gas, d W = 0 and d Q < 0. Then for the gas

1) the temperature will decrease

2) the volume will increase

3) the pressure will remain constant

4) the temperature will increase

43. Three positive charges of equal value q are placed at the vertices of an equilateraltriangle. The resulting lines of force should be sketched as in

1)

2)

3)

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4)

44. In the given circuit, with steady current, the potential drop across the capacitor must be

1) V 2) V/2 3) V/3 4) 2V/3

45. The electron emitted in beta radiation originates from

1) inner orbit of atoms

2) free electrons existing in nuclei

3) decay of a neutron in a nucleus

4) photon escaping from the nucleus

46. The intensity of X-rays from a Coolidge tube is plotted against wavelength λ as shown infigure. The minimum wavelength found is λc and the wavelength of the Kα line is λk. As theaccelerating voltage is increased

1) λk - λc increases

2) λk - λc decreases

3) λk increases

4) λk decreases

47. The transition from the state n = 4 to n = 3 in a hydrogen like atom results in ultravioletradiation. Infrared radiation will be obtained in the transition

1) 2 → 1

2) 3 → 2

3) 4 → 2

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4) 5 → 4

48. Two particles A and B of masses mA and mB respectively and having the same charge aremoving in a plane. A uniform magnetic field exists perpendicular to this plane. The speedsof the particles are VA and VB respectively and their trajectories are as shown in the figure.Then

1) mAvA < mBvB

2) mAvA > mBvB

3) mA < mB and vA < vB

4) mA = mB and vA = vB

49. A wire of length L and 3 identical cells of negligible internal resistances are connected inseries. Due to the current, the temperature of the wire is raised by ΔT in a time t. Anumber N of similar cells is now connected in series with a wire of the same material andcross section but of length 2L. The temperature of the wire is raised by the same amountΔT in the same time t. The value of N is

1) 4 2) 6 3) 8 4) 9

50. Two beams of light having intensities I and 4I interfere to produce a fringe pattern on ascreen. The phase difference between the beams is π/2 at point A and π at point B. Thenthe difference between the resultant intensities at A and B is

1) 2I 2) 4I 3) 5I 4) 7I

51. A given ray of light suffers minimum deviation in an equilateral prism P. Additional prismsQ and R of identical shape and of the same material as P are now added as shown in thefigure. The ray will now suffer

1) greater deviation

2) no deviation

3) same deviation as before

4) total internal reflection

52. A metallic square loop ABCD is moving in its own plane with velocity v in a uniformmagnetic field perpendicular to its plane as shown in the figure. An electric field is induced

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1) in AD, but not in BC

2) in BC, but not in AD

3) neither in AD nor in BC

4) in both AD and AC

53. In the given circuit, it is observed that the current I is independent of the value of theresistance R6. Then the resistance values must satisfy

1) R1R2R5 = R3R4R6

2) (1/R5) + (1/R6) = (1/(R1 + R2)) + ((1/(R3 + R4))

3) R1R4 = R2R3

4) R1R3 = R2R4 = R5R6

54. A radioactive sample consists of two distinct species having equal number of atomsinitially. The mean life time of one species is τ and that of the other is 5τ. The decayproducts in both cases are stable. A plot is made of the total number of radioactive nucleias a function of time. Which of the given figures [(A), (B), (C), (D)] best represents theform of this plot?

1)

2)

3)

4)

55. Two circular coils can be arranged in any of the three situations shown in the figure. Theirmutual inductance will be

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1) maximum in situation (a)

2) maximum in situation (b)

3) maximum in situation (c)

4) the same in all situations

56. A ray of light passes through four transparent media with refractive indices µ1, µ2, µ3 andµ4 as shown in the figure. The surfaces of all media are parallel. If the emergent ray CD isparallel to the incident ray AB, we must have

1) µ1 = µ2

2) µ2 = µ3

3) µ3 = µ4

4) µ4 = µ1

57. An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient offriction between the insect and the surface is 1/3. If the line joining the center of thehemispherical surface to the insect makes an angle α with the vertical, the maximumpossible value of α is given by

1) cot α = 3

2) tan α = 3

3) sec α = 3

4) cosec α = 3

58. A string of negligible mass going over a clamped pulley of mass m supports a block ofmass M as shown in the figure. The force on the pulley by the clamp is given by

1) √2 Mg

2) √2 mg

3) √((M + m)2 + m2) g

4) √((M + m)2 + M2) g

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59. The pulleys and strings shown in the figure are smooth and of negligible mass. For thesystem to remain in equilibrium, the angle θ should be

1) 0° 2) 30° 3) 45° 4) 60°

60. A quantity X is given by εo L(ΔV/Δt) where εo is the permittivity of free space. L is a length,ΔV is a potential difference and Δ t is a time interval. The dimensional formula for X is thesame as that of

1) resistance

2) charge

3) voltage

4) current

61. One quarter sector is cut from a uniform circular disc of radius R. The sector has mass M.It is made to rotate about a line perpendicular to its plane and passing through the centerof the original disc. Its moment of inertia about the axis of rotation is

1) (1/2) MR2

2) (1/4) MR2

3) (1/8) MR2

4) √2 MR2

62. A simple pendulum has a time period T1 when on the earth's surface, and T2 when takento a height R above the earth's surface, where R is the radius of the earth. The value ofT2/T1 is

1) 1 2) √2 3) 4 4) 2

63. Two particles of masses m1 and m2 in projectile motion have velocities 1 and 2

respectively at time t = 0. They collide at time to. Their velocities become 1' and 2' at

time 2to while still moving in air. The value of|(m1 1' + m2 2') - (m1 1 + m2 2)| is

1) zero

2) (m1 + m2)gt0

3) 2(m1 + m2)gt0

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4) 1/2 (m1 + m2)gt0

64. A small block is shot into each of the four tracks as shown below. Each of the tracks risesto the same height. The speed with which the block enters the track is the same in allcases. At the highest point of the track, the normal reaction is maximum in

1)

2)

3)

4)

65. In the Young's double slit experiment, 12 fringes are observed to be formed in a certainsegment of the screen when light of wavelength 600 nm is used. If the wavelength of lightis changed to 400 nm, number of fringes observed in the same segment of the screen isgiven by

1) 12 2) 18 3) 24 4) 30

66. A non-planar loop of conducting wire carrying a current I is placed as shown in the figure.Each of the straight sections of the loop is of length 2a. The magnetic field due to this loopat the point P(a, 0, a) points in the direction

1) 1/√(2)

2) 1/√(3)

3) 1/√(3)

4) 1/√(2)

67. A particle executes simple harmonic motion between x = -A and x = +A. The time taken forit to go from 0 to A/2 is T1 and to go from A/2 to A is T2. Then

1) T1 < T2

2) T1 > T2

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3) T1 = T2

4) T1 = 2T2

68. A coil having N turns is wound tightly in the form of a spiral with inner and outer radii a andb respectively. When a current I passes through the coil, the magnetic field at the center is

1) m0NI/b

2) 2µ0NI/a

3) (µ0NI/(2(b - a))) ln (b/a)

4) (µ0 IN/(2(b - a))) ln (b/a)

69. Consider the situation shown in the figure. The capacitor A has a charge q on it whereas Bis uncharged. The charge appearing on the capacitor B a long time after the switch isclosed is

1) zero 2) q/2 3) q 4) 2q

70. A uniform electric field pointing in positive x ‑ direction exists in a region. Let A be theorigin, B be the point on the x-axis at x = +1 cm and C be the point on the y-axis at y = +1cm. Then the potentials at the points A, B and C satisfy :

1) VA < VB

2) VA > VB

3) VA < VC

4) VA > VC

Chemistry

Use the values of the constants as given below :Plank's constant, h = 6.626 x 10-34 Js Atomic Numbers : Cr = 24, Mn = 25, Fe = 26, Co = 27, Pt = 78

71. The number of S—S bonds in sulphur trioxide trimer (S3O9) is

1) three 2) two 3) one 4) zero

72. A aqueous solution of 6.3 g oxalic acid dihydrate is made up to 250 ml. The volume of 0.1N NaOH required to completely neutralize 10 ml of this solution is

1) 40 ml

2) 20 ml

3) 10 ml

4) 4 ml

73. The chemical composition of 'slag' formed during the smelting process in the extraction ofcopper is

1) Cu2O + FeS

2) FeSiO3

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3) CuFeS2

4) Cu2S + FeO

74. The Common features among the species CN-, CO and NO+ are

1) bond order three and isoelectronic

2) bond order three and weak field ligands

3) bond order two and π-acceptors

4) isoelectronic and weak field ligands

75. In a solid 'AB' having the NaCl structure, 'A' atoms occupy the corners of the cubic unitcell. If all the face-centered atoms along one of the axes are removed, then the resultantstoichiometry of the solid is

1) AB2

2) A2B

3) A4B3

4) A3B4

76. The root mean square velocity of an ideal gas at constant pressure varies with density (d)as

1) d2

2) d

3) √d

4) 1/√d

77. The reaction, , is an example of

1) oxidation reaction

2) reduction reaction

3) disproportionation reaction

4) decomposition reaction

78. In thermodynamics, a process is called reversible when

1) surroundings and system change into each other

2) there is no boundary between system and surroundings

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3) the surrounding are always in equilibrium with the system

4) the system changes into the surroundings spontaneously

79. The set with correct order of acidity is

1) HClO < HClO2 < HClO3 < HClO4

2) HClO4 < HClO3 < HClO2 < HClO

3) HClO < HClO4 < HClO3 < HClO2

4) HClO4 < HClO2 < HClO3 < HClO

80. The wavelength associated with a golf ball weighing 200 g and moving at a speed of 5 m/his of the order

1) 10-10 m

2) 10-20 m

3) 10-30 m

4) 10-40 m

81. An SN2 reaction at an asymmetric carbon of a compound always gives

1) an enantiomer of the substrate

2) a product with opposite optical rotation

3) a mixture of diastereomers

4) a single stereoisomer

82. A mixture of benzaldehyde and formaldehyde on heating with aqueous NaOH solutiongives

1) benzyl alcohol and sodium formate

2) sodium benzoate and methyl alcohol

3) sodium benzoate and sodium formate

4) benzyl alcohol and methyl alcohol

83. The complex ion which has no ‘d’ electrons in the central metal atoms is

1) [MnO4]-

2) [Co(NH3)6]3-

3) [Fe(CN)6]3

4) [Cr(H2O)6]3

84. The set representing the correct order of first ionization potential is

1) K > Na > Li

2) Be > Mg > Ca

3) B > C > N

4) Ge > Si > C

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85. The correct order of hybridization of the central atom in the following species NH3, [PtCl4]2-, PCl5 and BCl3 is

1) dsp2, dsp3, sp2 and sp3

2) sp3, dsp2, dsp3, sp2

3) dsp2, sp2, sp3, dsp3

4) dsp2, sp3, sp2, dsp3

86. In the standardization of Na2S2O3 using K2Cr2O7 by iodometry, the equivalent weight ofK2Cr2O7 is

1) (molecular weight)/2

2) (molecular weight)/6

3) (molecular weight)/3

4) same as m.w.

Directions for question 87 to 91 :The given questions consists of an 'Assertion' and 'Reason'. Use the following keyto choose the appropriate answer

(A) If both assertion and reason are CORRECT, and reason is the CORRECT explanationof the assertion. (B) If both assertion and reason are CORRECT, but reason is NOT the CORRECT explanation of the assertion (C) If assertion is CORRECT, but reason is INCORRECT (D) If assertion is INCORRECT, but reason is CORRECT.

87. ASSERTION :- In any ionic solid [MX] with Schottky defects, the number of positive andnegative ions are sameREASON :- Equal number of cation and anion vacancies are present

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

88. ASSERTION :- Addition of bromine to trans-2- butene yields meso-2, 3-dibromobtitaneREASON :- Bromine addition to an alkene is an electrophilic addition

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

89. ASSERTION :- Between SiCl4 and CCl4, only SiCl4 reacts with water REASON :- SiCl4 is ionic and CCl4 is covalent.

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

90. ASSERTION :- Dimethylsulphide is commonly used for the reduction of an ozonide of analkene to get the carbonyl compoundsREASON :- It reduces the ozonide giving water soluble dimethyl sulphoxide and excess ofit evaporates

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

91. ASSERTION :- In strongly acidic solution, aniline becomes more reactive towards

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electrophilic reagentsREASON :- The amino group being completely protonated in strongly acidic solution thelone pair of electrons on the nitrogen is no longer available for resonance.

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

92. Hydrogenation of the given compound in the presence of poisoned palladium catalystgives

1) an optically active compound

2) an optically inactive compound

3) a racemic mixture

4) a diastereomeric mixture

93. The reaction of propene with HOCl proceeds via the addition of

1) H+ in the first step

2) Cl+ in the first step

3) OH- in the first step

4) Cl- and OH- in a single step

94. 1-propanol and 2-Propanol can he best distinguished by

1) oxidation with alkaline KMnO4 followed by reaction with Fehling solution

2) oxidation with acidic dichromate followed by reaction with Fehling solution

3) oxidation by heating with copper followed by reaction with Fehling solution

4) oxidation with concentrated H2SO4 followed by reaction with Fehling solution

95. The number of isomers for the compound with molecular formula C2BrClFI is

1) 3 2) 4 3) 5 4) 6

96. The compound that will react most readily with NaOH to form methanol is

1) (CH3)4N+ I-

2) CH3OCH3

3) (CH3)3S+ I-

4) (CH3)3CCl

97. The correct order of basicities of the following compounds is

1.

2. CH3 - CH2 - NH2

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3. (CH3)2NH

4.

1) 2 > 1 > 3 > 4

2) 1 > 3 > 2 > 4

3) 3 > 1 > 2 > 4

4) 1 > 2 > 3 > 4

98. In the presence of peroxide, hydrogen chloride and hydrogen iodide do not give anti-Markovnikov addition to alkenes because

1) both are highly ionic

2) one is oxidising and the other is reducing

3) one of the steps is endothermic in both the cases

4) all the steps are exothermic in both the cases

99. The quantum numbers of +1/2 and -1/2 for the electron spin represent

1) rotation of the electron in clockwise and anti-clockwise direction respectively

2) rotation of the electron in anticlockwise and clockwise direction respectively

3) magnetic moment of the electron pointing up and down respectively

4) two quantum mechanical spin states which have no classical analogue

100. Which of the following statements is false?

1) Work is a state function

2) Temperature is a state function

3) Change in the state is completely defined when the initial and final states are specified

4) Work appears at the boundary of the system

101. For the sparingly soluble salt ApBq, the relationship of its solubility product (LS) with itssolubility (S) is

1) Ls = Sp + q . pp . qq

2) Ls = Sp + q . pq . qp

3) Ls = Spq . pp . qq

4) Ls = Spq . (pq)p + q

102. Saturated solution of KNO3 is used to make ‘salt-bridge’ because

1) velocity of K+ is greater than that of NO-3

2) velocity of NO-3 is greater than that of K+

3) velocity of both K+ and NO-3 are nearly the same

4) KNO3 is highly soluble in water

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103. At constant temperature, the equilibrium constant (Kp) for the decomposition reaction

N2O4 2NO2 is expressed by Kp = (4x2P)/(1 - x2), where P = pressure, x = extent ofdecomposition.Which one of the following statements is true ?

1) Kp increases with increase of P

2) Kp increases with increase of x

3) Kp increases with decrease of x

4) Kp remains constant with change of P and x

104. If 'I' is the intensity of absorbed light and 'C' is the concentration of AB for thephotochemical process AB + hv → AB*, the rate of formation of AB* is directly proportionalto

1) C

2) I

3) I2

4) C.I

105. The correct order of equivalent conductance at infinite dilution of LiCl, NaCl and KCl is

1) LiCl > NaCl > KCl

2) KCl > NaCl > LiCl

3) NaCl > KCl > LiCl

4) LiCl > KCl > NaCl

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Answer Key

1) 1 2) 2 3) 3 4) 2 5) 3 6) 3 7) 2 8) 4 9) 2 10) 4

11) 2 12) 1 13) 4 14) 3 15) 1 16) 4 17) 3 18) 2 19) 1 20) 4

21) 4 22) 1 23) 2 24) 1 25) 3 26) 1 27) 3 28) 4 29) 2 30) 3

31) 4 32) 2 33) 1 34) 3 35) 4 36) 2 37) 2 38) 4 39) 3 40) 1

41) 2 42) 1 43) 3 44) 3 45) 3 46) 1 47) 4 48) 2 49) 2 50) 2

51) 3 52) 4 53) 3 54) 4 55) 1 56) 4 57) 1 58) 4 59) 3 60) 4

61) 1 62) 4 63) 3 64) 4 65) 2 66) 4 67) 1 68) 3 69) 1 70) 2

71) 4 72) 1 73) 2 74) 1 75) 4 76) 4 77) 3 78) 3 79) 1 80) 3

81) 4 82) 1 83) 1 84) 2 85) 2 86) 2 87) 1 88) 2 89) 3 90) 1

91) 4 92) 2 93) 2 94) 3 95) 4 96) 1 97) 2 98) 3 99) 4 100) 1

101) 1 102) 3 103) 4 104) 2 105) 2

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