JEE ADVANCED TYPE 4 - Start Exam

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JEE ADVANCED TYPE 4

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1 / 108

1. Match phenomenon with statement.

1. Resonance

2. Photoelectric

3. TIR

2 / 108

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

1) Number of electrons only

2) Threshold frequency decreases

3) Work function

4) Stopping potential

3 / 108

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

1) 5.00

2) 4.0

3) 2.00

4) 10.0

4 / 108

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

1) 16

2) 24

3) 56

4) 64

5 / 108

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

1. L32

2. L33

3. L31

6 / 108

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

1) 1

2) 0

3) >1

4) <1 always

7 / 108

7. Match ligand with field strength (relative).

1. F−

2. H2O

3. CN−

8 / 108

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

1) Order equals stoichiometric coefficient always.

2) Rate law is determined experimentally.

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

4) Higher T generally increases k.

9 / 108

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

10 / 108

10. Match equation with shape.

1. (x−a)^2+(y−b)^2=r^2

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

3. y=mx+c

11 / 108

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

12 / 108

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

13 / 108

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

1) AP: tn=a+(n−1)d.

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

3) GP: tn=ar^{n−1}.

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

14 / 108

14. Salt giving acidic solution:

1) KNO3

2) CH3COONa

3) NaCl

4) NH4Cl

15 / 108

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

1) 69.0

2) 34.49

3) 26.0

4) 34.5

16 / 108

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

17 / 108

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

1) Infinite

2) 2

3) 1

4) 0

18 / 108

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

1) O2 under standard conditions

2) Any oxidant

3) Vacuum

4) Air only

19 / 108

19. Atoms per unit cell in FCC is

20 / 108

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

1) Slope of vertical line is undefined.

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

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

4) Midpoint averages coordinates.

21 / 108

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

1) 20

2) 60

3) 30

4) 15

22 / 108

22. Molarity: 0.6 mol in 1.5 L is

23 / 108

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

1) 200

2) 32

3) 0.32

4) 160

24 / 108

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

1) v=fλ.

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

3) Frequency is set by source.

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

25 / 108

25. Aromatic: which follows 6π electrons?

1) Cyclooctatetraene

2) Cyclobutadiene

3) Benzene

4) Ethene

26 / 108

26. Oxidation state of Mn in KMnO4 is

1) +2

2) +6

3) +7

4) +4

27 / 108

27. The oxidizing agent is the one that

1) Always loses H

2) Gets reduced

3) Always gains oxygen

4) Gets oxidized

28 / 108

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

29 / 108

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

1. L41

2. L42

3. L43

30 / 108

30. Match reagent with use.

1. NaBH4

2. PCC

3. SOCl2

31 / 108

31. Primary alcohol oxidized with KMnO4 gives

1) Ketone

2) Aldehyde

3) Alkene

4) Carboxylic acid

32 / 108

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

1) 0.25

2) 2.5

3) 25

4) 2.5

33 / 108

33. For SHM, maximum speed is proportional to

1) Amplitude × angular frequency

2) 1/Amplitude

3) Amplitude only

4) Frequency only

34 / 108

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

1) Mutually exclusive => P(A∩B)=0.

2) Independent => P(A∩B)=P(A)P(B).

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

4) P(A∪B)=P(A)+P(B)−P(A∩B).

35 / 108

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

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

2) a×b=b×a.

3) a·a=|a|^2.

4) a×a=0.

36 / 108

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

1) 0.24

2) 24

3) 2.4

4) 2.4

37 / 108

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

1) P(A)P(B)

2) P(A)+P(B)

3) 1

4) 0

38 / 108

38. Match solid lattice with atoms per cell.

1. FCC

2. SC

3. BCC

39 / 108

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

1) BF3 is electron deficient.

2) XeF4 is square planar.

3) NH3 is a Lewis base.

4) CO2 is linear.

40 / 108

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

41 / 108

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

1) In series, equivalent capacitance decreases.

2) C depends on geometry and dielectric.

3) Q=CV.

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

42 / 108

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

43 / 108

43. IUPAC name of CH3–CO–CH2–CH3 is

1) Butan-1-ol

2) Propanone

3) Butanal

4) Butan-2-one

44 / 108

44. Two identical capacitors connected in series gives equivalent capacitance

1) 4C

2) C

3) 2C

4) C/2

45 / 108

45. Evaluate ∫_0^4 x dx.

46 / 108

46. Value of 8! is

47 / 108

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

1) Power can be V^2/R.

2) Parallel: same voltage.

3) Series: same current.

4) Req(parallel) > each resistor.

48 / 108

48. Value of cos(60°) is

1) 0

2) 1

3) 1/2

4) √3/2

49 / 108

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

1) 37.5

2) 0.167

3) 6.0

4) 6.0

50 / 108

50. Value of ∫_0^3 2 dx is

1) 0

2) 2

3) 6

4) 3

51 / 108

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

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

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

3) Odd function: f(−x)=−f(x).

4) Even function: f(−x)=f(x).

52 / 108

52. Match motion with acceleration.

1. Uniform circular

2. SHM

3. Free fall

53 / 108

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

1) Stopping potential depends on frequency.

2) Kmax=hν−ϕ.

3) Threshold frequency depends on work function.

4) Intensity affects number of photoelectrons.

54 / 108

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

1) 8

2) √72

3) 4√2

4) 6√2

55 / 108

55. Strong hydrogen bonding is in

1) HCl

2) HF

3) HI

4) HBr

56 / 108

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

57 / 108

57. Match term with meaning.

1. Independent

2. Complement

3. Exclusive

58 / 108

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

59 / 108

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

1) Induced current aids the change.

2) emf=−N dΦ/dt.

3) Direction by Lenz’s law.

4) Flux can change by changing area.

60 / 108

60. Which is a Lewis base?

1) BF3

2) NH3

3) AlCl3

4) H+

61 / 108

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

62 / 108

62. Match quantity with SI unit.

1. Charge

2. Magnetic field

3. Potential difference

63 / 108

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

1) 10

2) 100

3) 0.5

4) 1000.0

64 / 108

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

1. L42

2. L41

3. L43

65 / 108

65. Oxidation state of Cl in ClO3− is

66 / 108

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

1) 30

2) 60

3) 20

4) 16

67 / 108

67. Moles in 11 g CO2 is

1) 0.5

2) 0.25

3) 1

4) 2

68 / 108

68. If log_2 32 = x, then x is

1) 6

2) 3

3) 5

4) 4

69 / 108

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

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

2) Frequency unchanged in refraction.

3) n=c/v.

4) Critical angle exists only for denser→rarer.

70 / 108

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

1) Oxidation state always equals coordination number.

2) Ligands donate electron pairs.

3) Square planar complexes can show cis-trans.

4) Chelation increases stability.

71 / 108

71. Compute 11C3.

72 / 108

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

1) Speed must change in uniform circular motion.

2) Centripetal acceleration is v^2/r.

3) Direction of velocity changes.

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

73 / 108

73. Value of 9P3 equals

1) 720

2) 84

3) 216

4) 504

74 / 108

74. Moles in 4.48 L gas at STP is

75 / 108

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

1) qvB

2) qB/v

3) qv/B

4) 0

76 / 108

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

1) det(kA)=k det(A) for 2×2.

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

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

4) det(I)=0.

77 / 108

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

1) Osmotic pressure π=CRT for dilute solutions.

2) Boiling point elevation is colligative.

3) Molality is temperature independent.

4) Molarity is temperature independent.

78 / 108

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

1) Electronegativity generally decreases down group.

2) Atomic radius increases down group.

3) Effective nuclear charge increases across period.

4) Ionization energy generally decreases down group.

79 / 108

79. Sum 3+6+12+…+3·2^7 equals

1) 768

2) 381

3) 765

4) 384

80 / 108

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

1) x^2

2) 2/x

3) 2x

4) 1/x

81 / 108

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

1) Potential energy is positive for bound orbit.

2) Orbital speed v=√(GM/r).

3) Weight decreases with altitude.

4) Escape speed depends on planet mass and radius.

82 / 108

82. Mass of 0.1 mol O2 is (g)

83 / 108

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

1) 27

2) 81

3) 18

4) 3

84 / 108

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

1) cos(2θ)=cos^2θ−sin^2θ.

2) sin^2θ+cos^2θ=1.

3) tanθ=sinθ/cosθ.

4) sin(2θ)=sinθ+cosθ.

85 / 108

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

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

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

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

4) d/dx(x^n)=n x^{n−1}.

86 / 108

86. For ideal gas, PV/nT equals

1) 1

2) 0

3) k

4) R

87 / 108

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

88 / 108

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

1) 3v

2) 9v

3) v/9

4) v/3

89 / 108

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

1) −6

2) −24

3) −12

4) −3

90 / 108

90. Wave: v=300 m/s, f=150 Hz. λ (m)

91 / 108

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

1) 3

2) 11

3) 14

4) 7

92 / 108

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

1) y=−3x−2

2) y=3x−2

3) y=3x+2

4) y=x−2

93 / 108

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

1) Always equal magnitude

2) Perpendicular

3) Parallel

4) Independent

94 / 108

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

1) 4

2) 8

3) 6

4) 2

95 / 108

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

1) Right

2) No change

3) Depends only on catalyst

4) Left

96 / 108

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

1) 1.6c

2) c/1.6

3) 0

4) c

97 / 108

97. Reagent to reduce aldehyde to primary alcohol is

1) PCC

2) NaBH4

3) SOCl2

4) O3

98 / 108

98. If (x+3)(x−5)=0, then x is

1) 3 or −5

2) 0

3) 8

4) −3 or 5

99 / 108

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

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

2) SN2 is backside attack.

3) PCC oxidizes primary alcohol to aldehyde.

4) SN1 forms carbocation.

100 / 108

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

101 / 108

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

1) 7+7i

2) 7i or −7i

3) 7 or −7

4) −7+7i

102 / 108

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

1. L43

2. L41

3. L42

103 / 108

103. pH of 10^-4 M HNO3 is

104 / 108

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

1) At equilibrium forward rate = reverse rate.

2) Kc depends on temperature.

3) Catalyst does not change Kc.

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

105 / 108

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

1) pH = −log[H+].

2) Lewis acid accepts e− pair.

3) pH + pOH = 14 at 25°C.

4) Strong acids ionize completely.

106 / 108

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

1) F−

2) CN−

3) NH3

4) H2O

107 / 108

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

108 / 108

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

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