JEE ADVANCED TYPE 2 – Start Exam

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1 / 108

1. Select all correct statements about induced emf (Set-02):

1) Induced emf exists even if flux is constant but magnetic field is present.

2) Induced emf is proportional to rate of change of magnetic flux.

3) Direction of induced current opposes the change in flux producing it.

4) A changing flux can be due to changing B, area, or orientation.

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2. Match (List-I) with the correct hybridization (List-II).

1. BF3

2. CH4

3. BeCl2 (g)

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3. For ideal gas: n=1 mol, T=300 K, R=0.082 L·atm/mol·K. Find PV (L·atm).

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4. Match (List-I) with the correct dimension (List-II).

1. Pressure

2. Impulse

3. Energy

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5. For first order reaction, if half-life t1/2=693 s, k (s^-1) equals (k=0.693/t1/2).

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6. For light going from glass (n=1.50) to air (n=1.00), the critical angle is closest to

1) 75°

2) 30°

3) 41.81°

4) 60°

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7. For an ideal solution, the enthalpy change of mixing (ΔHmix) is

1) Positive

2) 0

3) Always large

4) Negative

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8. Value of determinant |1 1 1; 1 5 1; 1 1 5| is

1) 64

2) 112

3) 25

4) 113

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9. Equation of the circle with center (5,7) and radius 5 is

1) (x−5)^2+(y−7)^2=5

2) (x−5)^2+(y−7)^2=25

3) (x−5)+(y−7)=25

4) (x+5)^2+(y+7)^2=25

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10. Find the remainder when (32^2 + 16) is divided by 14.

1) 4

2) 5

3) 7

4) 6

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11. Which pair represents coordination isomerism?

1) cis/trans in [Pt(NH3)2Cl2]

2) [Co(NH3)5Br]SO4 and [Co(NH3)5SO4]Br

3) optical in [Co(en)3]3+

4) linkage in [Co(NH3)5NO2]Cl2

12 / 108

12. Select all correct statements about thermodynamics (Set-02):

1) State functions depend only on initial and final states.

2) ΔU = q + w (work done on system positive).

3) Entropy of the universe always decreases for a spontaneous process.

4) For an isothermal process of ideal gas, ΔU=0.

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13. Sum of roots of equation x^2 + 7x + 1 = 0 is

1) 7

2) -7

3) 1

4) 0

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14. For the equilibrium N2(g)+3H2(g)⇌2NH3(g), increasing pressure at constant temperature shifts equilibrium

1) Towards N2 and H2

2) Depends only on catalyst

3) No change

4) Towards NH3

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15. Match the matrix property (List-I) with the implication (List-II).

1. A is identity

2. det(A)≠0

3. A is singular

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16. Let f(x)=ax+b with a=2, b=3. If f(f(x)) = 4x + 9, then a equals

1) 2

2) 3

3) 1

4) 3

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17. A sound wave of frequency 350 Hz travels in air at 340 m/s. Wavelength is

1) 119000 m

2) 1.0294 m

3) 0.971 m

4) 1.942 m

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18. How many grams of NaCl are present in 0.5 mol? (M=58.5 g/mol)

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19. Which statement best describes a catalyst?

1) It increases ΔH of reaction

2) It increases rate by lowering activation energy

3) It is consumed stoichiometrically

4) It increases equilibrium constant

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20. Coefficient of x^8 in (1+x)^10 is

1) 10

2) 9

3) 45

4) 46

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21. Match (List-I) with the correct trend (List-II).

1. Atomic radius across a period

2. Ionization energy down a group

3. Electronegativity down a group

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22. If the roots of x^2−7x+10=0 are α,β, compute α^2+β^2.

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23. If pOH=5, pH is

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24. Compute determinant of matrix [[2,3],[5,7]].

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25. A capacitor 3 μF is charged to 40 V. Energy stored in μJ is

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26. A lens has focal length 20 cm. Power (D) is

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27. For y=ln x, the derivative dy/dx is

1) e^x

2) x

3) 1/x

4) ln x

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28. Match (List-I) with the correct test (List-II).

1. Aldehyde group

2. Methyl ketone

3. Unsaturation (C=C)

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29. Monochromatic light of wavelength 450 nm has photon energy (use 1240 eV·nm).

1) 5.51 eV

2) 2.76 eV

3) 450 eV

4) 1.38 eV

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30. The correct order of increasing electronegativity is

1) Na < Al < Mg < Si

2) Na < Mg < Al < Si

3) Mg < Na < Al < Si

4) Si < Al < Mg < Na

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31. Masses 2 kg and 3 kg move along a line with speeds 14 m/s and 8 m/s in same direction. They stick together. Final speed is

1) 22 m/s

2) 0.8 m/s

3) 11.0 m/s

4) 10.4 m/s

32 / 108

32. Which of the following is a stronger acid in aqueous solution?

1) H2CO3

2) HClO4

3) CH3COOH

4) HClO

33 / 108

33. A circle has radius 7. Its area (in terms of π) equals

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34. If a vector has components (2,3,6), find its magnitude (rounded to 2 decimals).

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35. Select all correct statements about sequences (Set-02):

1) Sum of first n natural numbers is n(n+1)/2.

2) Sum of first n natural numbers is n^2.

3) In a GP, nth term is ar^{n−1}.

4) In an AP, nth term is a+(n−1)d.

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36. In a galvanic cell, electrons flow in the external circuit from

1) Electrolyte to electrodes equally

2) Cathode to anode

3) Salt bridge to anode

4) Anode to cathode

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37. The pH of a 10^-3 M strong acid solution is closest to

1) 7

2) 11

3) 3

4) 1

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38. Which oxide is amphoteric?

1) Al2O3

2) SO3

3) Na2O

4) CO2

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39. Select all correct statements about conic sections (Set-02):

1) Circle is a special case of ellipse.

2) For ellipse, sum of distances from two foci is constant.

3) Hyperbola has constant product of distances from foci.

4) Parabola is the locus of points equidistant from a fixed point and a fixed line.

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40. Sum of infinite GP with first term 4 and common ratio 1/7 is

1) 4.667

2) 4

3) 3.5

4) 3.429

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41. Select all correct statements about SN1 reactions (Set-02):

1) Racemization can occur for chiral centers.

2) A stable carbocation intermediate is formed.

3) Inversion of configuration always occurs.

4) Rate depends only on substrate concentration.

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42. Number of moles in 12 g of a substance with molar mass 98 g/mol (rounded to 3 decimals) is

1) 8.167

2) 0.122

3) 1.220

4) 0.012

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43. A 2 Ω and 3 Ω resistors are connected in series across 10 V. Current (A) is

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44. Match the physical situation (List-I) with the corresponding principle (List-II).

1. Induced current opposes change

2. No net external force on a system

3. Closed path integral of electrostatic field

45 / 108

45. Select all correct statements for a body in SHM (Set-02):

1) Time period is independent of amplitude (for ideal SHM).

2) Acceleration is proportional to displacement and opposite in direction.

3) Total energy changes with time in ideal SHM.

4) Speed is maximum at equilibrium position.

46 / 108

46. Select all correct statements about determinants (Set-02):

1) Interchanging two rows changes sign of determinant.

2) If determinant is non-zero, the matrix is singular.

3) Adding a multiple of one row to another does not change determinant.

4) If two rows of a determinant are identical, determinant is zero.

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47. Which compound gives iodoform test?

1) CH3COOH

2) CH3COCH3

3) CH3CH2OH

4) HCHO

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48. Select all correct statements about logarithms (Set-02):

1) log 1 = 0 (any base).

2) log(a+b)=log a + log b always.

3) log(a^k)=k log a (a>0).

4) log(ab)=log a + log b (same base).

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49. Calculate molarity when 0.25 mol solute is dissolved to make 0.50 L solution.

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50. Which statement is correct for a capacitor connected to a DC source after a long time?

1) It behaves as an open circuit (no steady current)

2) Voltage across it is zero

3) It behaves as a short circuit

4) Charge on it is zero

51 / 108

51. Select all correct statements about colligative properties (Set-02):

1) Freezing point depression depends on molality.

2) Boiling point elevation depends on number of solute particles.

3) Osmotic pressure is a colligative property.

4) Viscosity is a colligative property.

52 / 108

52. If P(A)=0.3, P(B)=0.5 and A,B are independent, then P(A∪B) equals

1) 0.15

2) 0.65

3) 0.2

4) 0.8

53 / 108

53. Select all correct statements about capacitors in series (Set-02):

1) Potential difference across each capacitor is same in series combination.

2) Total potential difference is sum of individual potential differences.

3) Equivalent capacitance is less than the smallest individual capacitance.

4) Charge on each capacitor is same in series combination.

54 / 108

54. Match the quantity (List-I) with its SI unit (List-II).

1. Capacitance

2. Electric potential

3. Magnetic field B

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55. Match (List-I) with the correct statement (List-II).

1. Catalyst

2. Rate constant k

3. Equilibrium constant K

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56. A 0.5 kg mass attached to spring executes SHM with k=200 N/m. Angular frequency ω (rad/s) is

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57. The number of atoms per unit cell in a BCC lattice is

1) 1

2) 4

3) 2

4) 6

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58. Select all correct statements about projectile motion (Set-02):

1) Vertical acceleration is constant and equals g downward.

2) At highest point, acceleration becomes zero.

3) Horizontal component of velocity remains constant.

4) Time to reach highest point depends on initial vertical component.

59 / 108

59. If P(A)=0.4 and P(B)=0.25 and independent, compute P(A∩B).

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60. If vectors a and b are perpendicular, then a·b equals

1) 0

2) 1

3) −|a||b|

4) |a||b|

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61. A 2 kg block is pulled horizontally with force 14 N on a frictionless surface. Find acceleration (m/s²).

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62. An ideal gas at P=1.0×10^5 Pa and V=2.0×10^-3 m³ has temperature 300 K. Number of moles is (use PV=nRT, R=8.314)

1) 0.0802 mol

2) 0.802 mol

3) 0.00802 mol

4) 0.1604 mol

63 / 108

63. Select all correct statements about coordination compounds (Set-02):

1) Ligands act as Lewis bases.

2) Oxidation state of metal is always zero.

3) Coordination number equals number of donor atoms attached to metal.

4) Geometrical isomerism is possible in square planar complexes.

64 / 108

64. Which polymer is an addition polymer?

1) Nylon-6,6

2) Terylene

3) Polyethylene

4) Bakelite

65 / 108

65. Select all correct statements about functions (Set-02):

1) If a function is one-one, distinct inputs give distinct outputs.

2) If a function is onto, every element of codomain has a preimage.

3) Composition of two one-one functions is one-one.

4) Every one-one function is onto.

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66. An inductor of inductance 0.6 H carries current 6 A. Energy stored is

1) 0.1 J

2) 10.8 J

3) 10.0 J

4) 3.6 J

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67. Match the wave phenomenon (List-I) with the key condition (List-II).

1. Total internal reflection

2. Constructive interference

3. Diffraction (single slit)

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68. If a matrix A is singular, then

1) trace(A)=0

2) det(A)=0

3) A^-1 exists

4) A is always diagonal

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69. Which of the following has maximum bond order?

1) Ne2

2) O2

3) N2

4) F2

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70. A resistor R=3 Ω is in series with a capacitor C=2 μF. The time constant τ=RC is

1) 3.000002 s

2) 0.000001 s

3) 0.000006 s

4) 1500000.000000 s

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71. For a projectile (no air resistance), time of flight depends on

1) Mass of projectile

2) Horizontal range only

3) Initial speed only (independent of angle)

4) Initial speed and angle (and g)

72 / 108

72. Select all correct statements about periodic trends (Set-02):

1) Atomic radius generally decreases across a period.

2) Electronegativity generally decreases across a period.

3) Electron affinity generally becomes more negative across a period (with exceptions).

4) Ionization energy generally increases across a period.

73 / 108

73. In interference, for two waves of equal amplitude, resultant intensity is maximum when phase difference is

1) 0 (or 2πn)

2) 3π/2

3) π/2

4) π (or (2n+1)π)

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74. Evaluate lim(x→0) (e^3x − 0)/x (note: expression is (e^a·x)/x)

1) 1

2) 3

3) 20.086

4) 0

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75. A current 6 A passes through resistance 6 Ω. Power dissipated is

1) 216 W

2) 1.0 W

3) 1.0 W

4) 36 W

76 / 108

76. ∫ x^4 dx equals

1) x^5/5 + C

2) 4x^3+C

3) ln x + C

4) x^4 + C

77 / 108

77. Match (List-I) with (List-II).

1. d/dx (sin x)

2. ∫ x^n dx (n≠−1)

3. d/dx (ln x)

78 / 108

78. Select all correct statements about electric field lines (Set-02):

1) Density of field lines indicates field strength.

2) Field lines are always closed loops in electrostatics.

3) Two electric field lines can never intersect.

4) Electric field lines start on positive charges and end on negative charges (or infinity).

79 / 108

79. Select all correct statements about limits (Set-02):

1) If lim x→a f(x)=L and lim x→a g(x)=M, then lim x→a (f(x)+g(x))=L+M.

2) If lim x→a f(x) exists, left and right limits at a are equal.

3) If f is continuous at a, then lim x→a f(x)=f(a).

4) If lim x→a f(x) exists, then f(a) must be defined.

80 / 108

80. Oxidation state of S in H2SO4 is

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81. Select all correct statements about ideal transformers (Set-02):

1) Power input equals power output (no losses).

2) Voltage ratio equals turns ratio (Vp/Vs = Np/Ns).

3) Transformer works on electrostatic induction.

4) In ideal transformer, current ratio is inverse of turns ratio (Ip/Is = Ns/Np).

82 / 108

82. Number of onto functions from a set of 8 elements to a set of 2 elements is

1) 2

2) 254

3) 256

4) 256

83 / 108

83. A particle executes SHM with amplitude A=0.04 m and angular frequency ω=25 rad/s. Its maximum speed is

1) 25.0 m/s

2) 0.0016 m/s

3) 1.0 m/s

4) 625.0 m/s

84 / 108

84. Evaluate: ∫_0^1 6x(1−x) dx.

85 / 108

85. Match the conic (List-I) with the standard form (List-II).

1. Ellipse

2. Circle

3. Parabola

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86. A charged particle moves in a circle of radius 0.4 m in uniform magnetic field B=0.5 T with speed 6×10^6 m/s. The magnitude of q/m equals (q/m = v/(Br))

1) 0.0 C/kg

2) 30000000.0 C/kg

3) 15000000.0 C/kg

4) 15000000.0 C/kg

87 / 108

87. Compute the value of 12C3.

88 / 108

88. Compute: lim_{x→0} (sin 5x)/x.

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89. Select all correct statements about probability (Set-02):

1) P(A∪B)=P(A)+P(B) when A and B are mutually exclusive.

2) 0 ≤ P(A) ≤ 1 for any event A.

3) P(A^c)=1−P(A).

4) If A and B are independent, then P(A∩B)=P(A)+P(B).

90 / 108

90. Select all correct statements about polymers (Set-02):

1) Teflon is a condensation polymer.

2) Nylon-6,6 is a condensation polymer.

3) Addition polymers generally do not eliminate small molecules during formation.

4) Condensation polymers often eliminate small molecules (like H2O).

91 / 108

91. Select all correct statements about vectors (Set-02):

1) a×b is perpendicular to both a and b.

2) If a·b=0, then a and b are perpendicular (or one is zero vector).

3) If a×b=0, then a and b are perpendicular.

4) a·b = |a||b|cosθ.

92 / 108

92. Which reagent converts an aldehyde to a primary alcohol selectively?

1) HNO3

2) NaBH4

3) K2Cr2O7/H+

4) KMnO4

93 / 108

93. Select all correct statements about photons (Set-02):

1) Photoelectric threshold depends on material.

2) Increasing intensity increases photon energy at fixed frequency.

3) Photon momentum is p=E/c.

4) Photon energy is proportional to frequency.

94 / 108

94. Number of σ-bonds in ethane (C2H6) is

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95. A conducting loop is moved out of a uniform magnetic field region with constant speed. The induced emf is non-zero because

1) Area of loop changes randomly

2) Electric field outside is zero

3) Magnetic flux through the loop changes with time

4) Resistance of loop changes

96 / 108

96. A wire carries current 3 A for 120 s. Charge passed (C) is

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97. A wave travels with speed 360 m/s and frequency 120 Hz. Wavelength (m) is

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98. A block slides down a rough incline (angle 30°) with coefficient of friction μ=0.2. Take g=9.8 m/s². Acceleration down the plane is

1) 0 m/s²

2) 4.9 m/s²

3) 3.2 m/s²

4) 6.6 m/s²

99 / 108

99. In BCC lattice, number of atoms per unit cell is

100 / 108

100. Select all correct statements about redox reactions (Set-02):

1) Oxidation involves increase in oxidation number.

2) Reducing agent itself gets oxidized.

3) Reduction involves gain of electrons.

4) Oxidizing agent itself gets oxidized.

101 / 108

101. A mass 2.0 kg is raised vertically by 10 m (take g=9.8). Increase in potential energy is

1) 20.0 J

2) 20.0 J

3) 196.0 J

4) 98.0 J

102 / 108

102. Select all correct statements about heat transfer (Set-02):

1) Convection occurs only in solids.

2) Conduction requires a material medium.

3) Convection involves bulk motion of fluid.

4) Radiation can occur in vacuum.

103 / 108

103. Number of diagonals in a convex polygon with 13 sides is

1) 65

2) 66

3) 78

4) 10

104 / 108

104. Match (List-I) with the correct count formula (List-II).

1. Diagonals in n-gon

2. Permutations of n distinct items

3. Subsets of n-set

105 / 108

105. Select all correct statements about chemical equilibrium (Set-02):

1) At equilibrium, forward and reverse reaction rates are equal.

2) At equilibrium, concentrations of reactants and products are necessarily equal.

3) Equilibrium can be approached from either side (reactants/products).

4) A catalyst speeds up reaching equilibrium but does not change equilibrium composition.

106 / 108

106. In SN2 reactions, stereochemistry at the chiral center typically shows

1) No effect on stereochemistry

2) Inversion of configuration

3) Racemization always

4) Retention of configuration

107 / 108

107. If sinθ=3/5 (θ acute), then value of sin(2θ) is

1) 7/25

2) 12/25

3) 1

4) 24/25

108 / 108

108. A body starts from rest and accelerates uniformly at 4 m/s² for 5 s. Final speed (m/s) is

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