JEE ADVANCED TYPE 4 - Start Exam

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JEE ADVANCED TYPE 4

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1 / 108

1. Oxidation state of Cl in ClO3− is

2 / 108

2. Equation of line passing through (0,−2) with slope 3 is

1) y=−3x−2

2) y=3x+2

3) y=x−2

4) y=3x−2

3 / 108

3. Match phenomenon with statement.

1. TIR

2. Photoelectric

3. Resonance

4 / 108

4. Value of 8! is

5 / 108

5. Electric field 400 N/C on charge 3 μC. Force (mN)

6 / 108

6. A resistor 8 Ω carries 2 A. Voltage (V) is

7 / 108

7. If f(x)=ln(x^2), then f'(x) (x≠0) equals

1) 1/x

2) 2/x

3) x^2

4) 2x

8 / 108

8. Select all correct statements about gravitation (Set-04):

1) Weight decreases with altitude.

2) Potential energy is positive for bound orbit.

3) Escape speed depends on planet mass and radius.

4) Orbital speed v=√(GM/r).

9 / 108

9. If det(A)=−3 for 3×3 matrix A, then det(2A) equals

1) −24

2) −6

3) −12

4) −3

10 / 108

10. [Extra-3] Match (List-I) with (List-II).

1. L32

2. L33

3. L31

11 / 108

11. Molarity: 0.6 mol in 1.5 L is

12 / 108

12. If orbital radius of a satellite becomes 9r (same planet), speed becomes

1) v/3

2) 3v

3) v/9

4) 9v

13 / 108

13. For SHM, maximum speed is proportional to

1) 1/Amplitude

2) Amplitude × angular frequency

3) Amplitude only

4) Frequency only

14 / 108

14. Select all correct statements about coordinate geometry (Set-04):

1) Equation x^2+y^2=r^2 is circle at origin.

2) Distance formula uses √((Δx)^2+(Δy)^2).

3) Slope of vertical line is undefined.

4) Midpoint averages coordinates.

15 / 108

15. Select all correct statements about waves (Set-04):

1) When wave enters new medium, frequency stays same.

2) Frequency is set by source.

3) v=fλ.

4) If speed decreases, wavelength increases (same f).

16 / 108

16. Primary alcohol oxidized with KMnO4 gives

1) Carboxylic acid

2) Alkene

3) Ketone

4) Aldehyde

17 / 108

17. Select all correct statements about series (Set-04):

1) GP: tn=ar^{n−1}.

2) Sum first n naturals = n(n+1)/2.

3) Sum of first n squares = n(n+1)(2n+1)/6.

4) AP: tn=a+(n−1)d.

18 / 108

18. Select all correct statements about acids-bases (Set-04):

1) pH = −log[H+].

2) pH + pOH = 14 at 25°C.

3) Lewis acid accepts e− pair.

4) Strong acids ionize completely.

19 / 108

19. A stone is thrown vertically upward with speed 26 m/s. (g=9.8). Maximum height (m) is closest to

1) 34.49

2) 26.0

3) 69.0

4) 34.5

20 / 108

20. Select all correct statements about bonding (Set-04):

1) NH3 is a Lewis base.

2) XeF4 is square planar.

3) CO2 is linear.

4) BF3 is electron deficient.

21 / 108

21. Standard enthalpy of combustion is enthalpy change when 1 mol of substance burns completely in

1) Any oxidant

2) O2 under standard conditions

3) Vacuum

4) Air only

22 / 108

22. Distance between (2,−1) and (−4,5) is

1) √72

2) 6√2

3) 4√2

4) 8

23 / 108

23. If P(A)=0.18 then P(A^c) is

24 / 108

24. A coil has N=200. Flux changes by 0.05 Wb in 0.01 s. Induced emf (V) is

1) 100

2) 10

3) 1000.0

4) 0.5

25 / 108

25. The oxidizing agent is the one that

1) Always loses H

2) Always gains oxygen

3) Gets oxidized

4) Gets reduced

26 / 108

26. Match quantity with SI unit.

1. Potential difference

2. Magnetic field

3. Charge

27 / 108

27. A rod length 0.4 m moves at 5 m/s in B=1.2 T perpendicular. Emf (V) is

1) 24

2) 2.4

3) 2.4

4) 0.24

28 / 108

28. Select all correct statements about EMI (Set-04):

1) emf=−N dΦ/dt.

2) Induced current aids the change.

3) Flux can change by changing area.

4) Direction by Lenz’s law.

29 / 108

29. If log_2 32 = x, then x is

1) 4

2) 6

3) 3

4) 5

30 / 108

30. Value of 9P3 equals

1) 84

2) 504

3) 720

4) 216

31 / 108

31. Evaluate ∫_0^4 x dx.

32 / 108

32. Mass of 0.1 mol O2 is (g)

33 / 108

33. Select all correct statements about organic (Set-04):

1) Grignard reagent reacts with CO2 to give alcohol after workup.

2) SN1 forms carbocation.

3) SN2 is backside attack.

4) PCC oxidizes primary alcohol to aldehyde.

34 / 108

34. Value of cos(60°) is

1) 1/2

2) 1

3) √3/2

4) 0

35 / 108

35. Select all correct statements about functions (Set-04):

1) Odd function: f(−x)=−f(x).

2) Even function: f(−x)=f(x).

3) f(x)=x^2 is one-one on R.

4) If f is one-one, inverse exists.

36 / 108

36. If Kc=0.04 for A⇌B, then Kc for 3A⇌3B is

37 / 108

37. [Extra-4] Match (List-I) with (List-II).

1. L42

2. L43

3. L41

38 / 108

38. pH of 10^-4 M HNO3 is

39 / 108

39. Match ligand with field strength (relative).

1. F−

2. CN−

3. H2O

40 / 108

40. Select all correct statements about modern physics (Set-04):

1) Intensity affects number of photoelectrons.

2) Threshold frequency depends on work function.

3) Stopping potential depends on frequency.

4) Kmax=hν−ϕ.

41 / 108

41. Select all correct statements about determinants (Set-04):

1) det(AB)=det(A)det(B).

2) If det(A)=0 then A not invertible.

3) det(I)=0.

4) det(kA)=k det(A) for 2×2.

42 / 108

42. If det(A)=7 for 2×2 matrix A, det(−A) equals

43 / 108

43. Two identical capacitors connected in series gives equivalent capacitance

1) 2C

2) C

3) C/2

4) 4C

44 / 108

44. Select all correct statements about capacitors (Set-04):

1) Q=CV.

2) C depends on geometry and dielectric.

3) Energy stored is (1/2)CV^2.

4) In series, equivalent capacitance decreases.

45 / 108

45. A 15 V source drives 2.5 A. Equivalent resistance (Ω) is

1) 6.0

2) 0.167

3) 37.5

4) 6.0

46 / 108

46. Match motion with acceleration.

1. Free fall

2. SHM

3. Uniform circular

47 / 108

47. A capacitor 5 μF at 40 V has charge (μC)

48 / 108

48. Reagent to reduce aldehyde to primary alcohol is

1) PCC

2) SOCl2

3) O3

4) NaBH4

49 / 108

49. Select all correct statements about vectors (Set-04):

1) If a·b=0 and a,b non-zero then perpendicular.

2) a×a=0.

3) a·a=|a|^2.

4) a×b=b×a.

50 / 108

50. A particle with speed 10 m/s in circle radius 5 m has centripetal acceleration (m/s²)

51 / 108

51. A wave has f=80 Hz and λ=2.5 m. Speed (m/s) is

1) 200

2) 160

3) 0.32

4) 32

52 / 108

52. Select all correct statements about kinetics (Set-04):

1) Rate law is determined experimentally.

2) Higher T generally increases k.

3) t1/2 for first order is 0.693/k.

4) Order equals stoichiometric coefficient always.

53 / 108

53. [Extra-4] Match (List-I) with (List-II).

1. L43

2. L42

3. L41

54 / 108

54. Match reagent with use.

1. SOCl2

2. PCC

3. NaBH4

55 / 108

55. A capacitor 8 μF charged to 25 V stores energy (mJ) is

1) 25

2) 2.5

3) 2.5

4) 0.25

56 / 108

56. A convex lens has f=20 cm. If object is at 30 cm from lens, image distance (cm) is

1) 30

2) 15

3) 20

4) 60

57 / 108

57. A force 12 N acts on mass 3 kg. Acceleration (m/s²) is

58 / 108

58. Atoms per unit cell in FCC is

59 / 108

59. Moles in 4.48 L gas at STP is

60 / 108

60. In photoelectric effect, increasing frequency (intensity fixed) increases

1) Work function

2) Number of electrons only

3) Threshold frequency decreases

4) Stopping potential

61 / 108

61. Strong field ligand among: H2O, NH3, CN−, F− is

1) F−

2) CN−

3) H2O

4) NH3

62 / 108

62. Two blocks (1 kg and 4 kg) connected by string on frictionless surface pulled by 20 N. Acceleration (m/s²) is

1) 2.00

2) 10.0

3) 5.00

4) 4.0

63 / 108

63. Number of ways to choose 3 objects from 8 is

1) 16

2) 64

3) 24

4) 56

64 / 108

64. [Extra-4] Match (List-I) with (List-II).

1. L43

2. L42

3. L41

65 / 108

65. Light goes from air to glass (n=1.6). Speed in glass equals

1) 1.6c

2) 0

3) c

4) c/1.6

66 / 108

66. For N2 + 3H2 ⇌ 2NH3, increasing pressure shifts equilibrium to

1) No change

2) Left

3) Depends only on catalyst

4) Right

67 / 108

67. Select all correct statements about equilibrium (Set-04):

1) Kc depends on temperature.

2) Catalyst does not change Kc.

3) At equilibrium forward rate = reverse rate.

4) If coefficients multiply by 2, K becomes K^2.

68 / 108

68. For ideal gas, PV/nT equals

1) R

2) 0

3) 1

4) k

69 / 108

69. Match solid lattice with atoms per cell.

1. BCC

2. FCC

3. SC

70 / 108

70. Salt giving acidic solution:

1) NH4Cl

2) NaCl

3) KNO3

4) CH3COONa

71 / 108

71. At resonance in series LCR circuit, power factor is

1) <1 always

2) >1

3) 1

4) 0

72 / 108

72. Number of real roots of x^2−2x+1=0 is

1) 2

2) 0

3) Infinite

4) 1

73 / 108

73. Select all correct statements about circular motion (Set-04):

1) Direction of velocity changes.

2) Centripetal force does zero work in uniform circular motion.

3) Centripetal acceleration is v^2/r.

4) Speed must change in uniform circular motion.

74 / 108

74. Distance between (−3,−4) and (0,0) is

75 / 108

75. Work done to raise 50 N by 2.4 m (J)

76 / 108

76. Select all correct statements about coordination (Set-04):

1) Square planar complexes can show cis-trans.

2) Ligands donate electron pairs.

3) Chelation increases stability.

4) Oxidation state always equals coordination number.

77 / 108

77. pOH of 10^-3 M strong base is

1) 7

2) 3

3) 11

4) 14

78 / 108

78. If events A,B are mutually exclusive, then P(A∩B) equals

1) 1

2) 0

3) P(A)P(B)

4) P(A)+P(B)

79 / 108

79. Magnitude of vector (6,8,0) is

80 / 108

80. Sum 3+6+12+…+3·2^7 equals

1) 384

2) 765

3) 768

4) 381

81 / 108

81. If (x+3)(x−5)=0, then x is

1) −3 or 5

2) 8

3) 0

4) 3 or −5

82 / 108

82. Strong hydrogen bonding is in

1) HCl

2) HF

3) HI

4) HBr

83 / 108

83. Value of ∫_0^3 2 dx is

1) 0

2) 2

3) 3

4) 6

84 / 108

84. Match term with meaning.

1. Independent

2. Complement

3. Exclusive

85 / 108

85. Select all correct statements about periodicity (Set-04):

1) Electronegativity generally decreases down group.

2) Effective nuclear charge increases across period.

3) Ionization energy generally decreases down group.

4) Atomic radius increases down group.

86 / 108

86. A charge moves with velocity perpendicular to uniform magnetic field. Magnetic force magnitude is

1) qvB

2) 0

3) qv/B

4) qB/v

87 / 108

87. If k=0.005 s^-1 (first order), t1/2 (s)=0.693/k is

88 / 108

88. Aromatic: which follows 6π electrons?

1) Cyclobutadiene

2) Cyclooctatetraene

3) Benzene

4) Ethene

89 / 108

89. A particle in circle radius 3 m speed 9 m/s. Centripetal acceleration (m/s²) is

1) 18

2) 27

3) 3

4) 81

90 / 108

90. If a×b=0 and a,b non-zero, then vectors are

1) Perpendicular

2) Parallel

3) Independent

4) Always equal magnitude

91 / 108

91. IUPAC name of CH3–CO–CH2–CH3 is

1) Butan-2-one

2) Butanal

3) Butan-1-ol

4) Propanone

92 / 108

92. If a=7, d=5, find 8th term of AP.

93 / 108

93. If z is purely real and |z|=7, then z can be

1) 7 or −7

2) −7+7i

3) 7+7i

4) 7i or −7i

94 / 108

94. Oxidation state of Mn in KMnO4 is

1) +2

2) +7

3) +6

4) +4

95 / 108

95. Which is a Lewis base?

1) NH3

2) H+

3) BF3

4) AlCl3

96 / 108

96. Select all correct statements about current electricity (Set-04):

1) Series: same current.

2) Parallel: same voltage.

3) Power can be V^2/R.

4) Req(parallel) > each resistor.

97 / 108

97. Select all correct statements about optics (Set-04):

1) For normal incidence, i=r=0.

2) Frequency unchanged in refraction.

3) Critical angle exists only for denser→rarer.

4) n=c/v.

98 / 108

98. Select all correct statements about trigonometry (Set-04):

1) tanθ=sinθ/cosθ.

2) sin(2θ)=sinθ+cosθ.

3) cos(2θ)=cos^2θ−sin^2θ.

4) sin^2θ+cos^2θ=1.

99 / 108

99. Compute 11C3.

100 / 108

100. Moles in 11 g CO2 is

1) 0.5

2) 0.25

3) 2

4) 1

101 / 108

101. Match equation with shape.

1. x^2+y^2=r^2

2. (x−a)^2+(y−b)^2=r^2

3. y=mx+c

102 / 108

102. Select all correct statements about solutions (Set-04):

1) Molality is temperature independent.

2) Osmotic pressure π=CRT for dilute solutions.

3) Boiling point elevation is colligative.

4) Molarity is temperature independent.

103 / 108

103. Wave: v=300 m/s, f=150 Hz. λ (m)

104 / 108

104. Two resistors 9 Ω and 3 Ω in series: Req (Ω)

105 / 108

105. Coordination number in [Fe(CN)6]4− is

1) 2

2) 6

3) 8

4) 4

106 / 108

106. Area of triangle with base 10 and height 6 is

1) 30

2) 16

3) 20

4) 60

107 / 108

107. Select all correct statements about probability (Set-04):

1) P(A^c)=1+P(A).

2) Independent => P(A∩B)=P(A)P(B).

3) P(A∪B)=P(A)+P(B)−P(A∩B).

4) Mutually exclusive => P(A∩B)=0.

108 / 108

108. Select all correct statements about derivatives (Set-04):

1) d/dx(sin x)=cos x.

2) d/dx(ln x)=1/x.

3) d/dx(e^x)=x e^x.

4) d/dx(x^n)=n x^{n−1}.

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