JEE MAINS TYPE 1 - Start Exam

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JEE MAINS TYPE 1

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1 / 90

1. True or False: The direction of current is always opposite to electron flow.

1) True

2) False

2 / 90

2. Fill in the blank: The energy required to remove an electron from an isolated gaseous atom is called ______.

3 / 90

3. Which of the following is the correct inverse function of f(x)=e^x?

1) ln(x)

2) 1/x

3) sin(x)

4) x²

4 / 90

4. Which mathematical statements are TRUE?

1) sinθ = 1 always

2) tanθ = sinθ/cosθ

3) sin²θ + cos²θ = 1

5 / 90

5. True or False: Mole fraction of all components in a mixture always adds up to 1.

1) False

2) True

6 / 90

6. Identify the correct statements about water’s anomalous expansion.

1) Ice is denser than water

2) Density maximum at 4°C

3) Water expands below 4°C

4) Water contracts below 4°C

7 / 90

7. The escape velocity from a planet depends on which of the following parameters?

1) Temperature of the planet

2) Mass of the planet

3) Radius of the planet

4) Atmospheric pressure

8 / 90

8. Which of the following compounds shows hydrogen bonding?

1) CO₂

2) HCl

3) NH₃

4) CH₄

9 / 90

9. Calculate the oxidation number of sulphur in H₂SO₄.

10 / 90

10. True or False: The focal length of a convex lens is always positive.

1) False

2) True

11 / 90

11. Which of the following statements about chemical equilibrium are TRUE?

1) Equilibrium constant changes with concentration

2) Reaction stops completely

3) Concentration of reactants and products becomes constant

4) Rate of forward reaction equals rate of backward reaction

12 / 90

12. Fill in the blank: A solution whose pH is less than 7 is called a(n) ______ solution.

13 / 90

13. Which of the following graphs represents uniform motion?

1) Random fluctuations

2) Straight line in position-time graph

3) Curve with increasing slope

4) Curve with decreasing slope

14 / 90

14. Fill in the blank: The slope of a distance-time graph gives ______.

15 / 90

15. The work done in moving a charge q across a potential difference V is:

1) q/V

2) q²V

3) qV

4) V/q

16 / 90

16. A body moves in a circular path with uniform speed. Which of the following is true about its acceleration?

1) Acceleration is non-zero

2) Velocity is constant vector

3) Acceleration is zero

4) No force acts on body

17 / 90

17. True or False: The magnetic field inside a long solenoid is uniform.

1) False

2) True

18 / 90

18. Which of the following statements are true regarding SHM?

1) SHM acceleration ∝ displacement

2) Velocity is constant

3) Acceleration is opposite to displacement

19 / 90

19. True or False: The magnetic flux through a surface depends on the angle between magnetic field and area vector.

1) False

2) True

20 / 90

20. Fill in the blank: The derivative of sin(x) is ______.

21 / 90

21. Which statements about logarithms are correct?

1) log(ab) = log a + log b

2) log(a/b) = log a – log b

3) log(a+b) = log a × log b

22 / 90

22. Which statements about p-block elements are correct?

1) Inert pair effect increases down the group

2) Carbon shows inert pair effect

3) Fluorine is the most electronegative element

23 / 90

23. Find the value of √75 simplified.

24 / 90

24. The discriminant of the quadratic equation ax² + bx + c = 0 is:

1) b² – 4ac

2) 2ac – b²

3) b² + 4ac

4) 4ab – c²

25 / 90

25. A current of 2 A flows through a resistor of 10 Ω. What is the power dissipated?

1) 10 W

2) 40 W

3) 20 W

4) 4 W

26 / 90

26. A 2 kg block slides down a smooth incline of height 5 m. What is its speed at the bottom? (g = 10 m/s²)

27 / 90

27. Which statements about buffer solutions are correct?

1) They resist changes in pH

2) They contain strong acid only

3) They contain a weak acid and its salt

4) Buffers lower pH automatically

28 / 90

28. Which of the following options correctly classify the functions?

1) cos(x) is even

2) sin(x) is even

3) sin(x) is odd

29 / 90

29. For a first-order reaction, which of the following statements are correct?

1) Half-life decreases as concentration increases

2) Rate ∝ concentration

3) Half-life is independent of initial concentration

30 / 90

30. Which of the following is NOT a state function?

1) Enthalpy

2) Heat

3) Internal energy

4) Entropy

31 / 90

31. True or False: Work done by centripetal force is always zero.

1) False

2) True

32 / 90

32. Which statements about thermodynamics are true?

1) Heat is a state function

2) Reversible work is maximum work

3) ΔU = q + w

33 / 90

33. Which statements about conductors are correct?

1) Electric field inside a conductor is zero

2) Conductors contain free electrons

3) Charges remain at the centre

34 / 90

34. Fill in the blank: The longest wavelength in the hydrogen spectrum belongs to the ______ series.

35 / 90

35. Which trigonometric identities are correct?

1) sin²θ + cos²θ = 1

2) cosθ = 1/sinθ

3) tanθ = sinθ/cosθ

36 / 90

36. The pH of a 1×10⁻⁴ M HCl solution is:

37 / 90

37. Fill in the blank: The SI unit of electric charge is ______.

38 / 90

38. If a capacitor of capacitance 10 µF is charged to 50 V, what is the energy stored in it?

1) 0.0125 J

2) 0.050 J

3) 0.025 J

4) 0.125 J

39 / 90

39. Which of the following statements about the periodic table are correct?

1) Atomic radius decreases across a period

2) Electronegativity decreases across a period

3) Atomic radius increases down a group

4) Ionization energy decreases across a period

40 / 90

40. The bond angle in methane (CH₄) is approximately:

1) 104.5°

2) 109.5°

3) 120°

4) 90°

41 / 90

41. Fill in the blank: The force that opposes the relative motion between two surfaces is called ______.

42 / 90

42. Which function represents an odd function?

1) e^x

2) cos(x)

3) sin(x)

4) x²

43 / 90

43. What is the value of the determinant | 1 2 ; 3 4 | ?

1) 1

2) 2

3) -2

4) 4

44 / 90

44. Which statements about atomic orbitals are TRUE?

1) s-orbital is spherical

2) d-orbitals are linear

3) p-orbitals are dumbbell shaped

4) f-orbitals have only two lobes

45 / 90

45. Which of the following statements about acids and bases are correct?

1) Bases accept H⁺ ions

2) Acids have pH > 7

3) Acids donate H⁺ ions

46 / 90

46. A body is projected vertically upward with speed 30 m/s. How long will it take to come back to the ground? (g = 10 m/s²)

47 / 90

47. Fill in the blank: The line that touches a circle at exactly one point is called a ______.

48 / 90

48. A wire of resistance 5 Ω carries a current of 3 A. What is the potential difference across it?

1) 15 V

2) 8 V

3) 5 V

4) 30 V

49 / 90

49. Calculate the value of ³√27.

50 / 90

50. True or False: A concave mirror always forms a real image.

1) True

2) False

51 / 90

51. Find the derivative of x³ − 5x.

52 / 90

52. Solve: If f(x) = x² − 16, find its zeroes.

53 / 90

53. Find the value of (sin30° + cos60°).

1) 2

2) 1/2

3) 0

4) 1

54 / 90

54. Fill in the blank: The process of conversion of solid directly into gas is called ______.

55 / 90

55. A metal sphere is heated from 27°C to 127°C. If its radius becomes R’, then R’ = ______ (assume small expansion).

56 / 90

56. What is the oxidation number of Mn in KMnO₄?

57 / 90

57. Evaluate the derivative of ln(x).

58 / 90

58. Which statements about ideal gas are TRUE?

1) Obeys PV=nRT

2) Real gases behave ideally at high pressure

3) No intermolecular forces

4) Volume of molecules is significant

59 / 90

59. A projectile is launched at 30° with speed 20 m/s. What is its maximum height? (g = 10 m/s²)

1) 5 m

2) 3 m

3) 10 m

4) 7.5 m

60 / 90

60. A block of mass 5 kg is pulled on a frictionless surface with a force of 20 N. What is its acceleration?

1) 4 m/s²

2) 10 m/s²

3) 2 m/s²

4) 5 m/s²

61 / 90

61. Find the limit: lim (x→0) (sin x / x).

62 / 90

62. Select all correct statements about gravitational potential energy.

1) It is maximum at ground level

2) It increases with height

3) It is equal to mgh near Earth's surface

63 / 90

63. Which of the following statements about electromagnetic waves are correct?

1) They are transverse waves

2) They require a material medium

3) They are longitudinal waves

4) They travel with speed c in vacuum

64 / 90

64. The velocity-time graph of a particle is a horizontal straight line. What does this indicate?

1) Decreasing velocity

2) Zero displacement

3) Increasing velocity

4) Zero acceleration

65 / 90

65. A body is thrown upwards with velocity 20 m/s. (g = 10 m/s²). What is the time taken to reach maximum height?

66 / 90

66. Which statements about hydrocarbons are correct?

1) Alkenes are fully saturated

2) Alkynes contain triple bonds

3) Alkanes are saturated hydrocarbons

67 / 90

67. Which of the following statements about matrices are TRUE?

1) Matrix multiplication is associative

2) Matrix multiplication is commutative

3) Identity matrix acts as multiplicative identity

68 / 90

68. If the displacement of a particle is x = 5cos(2t), what is its angular frequency?

69 / 90

69. Fill in the blank: The molecule with the highest bond order among the following is ______.

70 / 90

70. True or False: The escape velocity on Earth is approximately 11.2 km/s.

1) False

2) True

71 / 90

71. Select the correct statements about electromagnetic induction.

1) Direction of EMF opposes change in flux

2) Lenz’s law gives magnitude of EMF

3) EMF is produced when magnetic flux changes

72 / 90

72. If log₁₀2 = 0.301, what is log₁₀8?

1) 1.301

2) 0.699

3) 2.903

4) 0.903

73 / 90

73. Fill in the blank: The element with the highest first ionization energy is ______.

74 / 90

74. Which of the following relations hold true for permutation and combination?

1) nPr = nCr

2) nCr = nPr × r!

3) nPr = nCr × r!

4) nPr = nCr / r!

75 / 90

75. A function f(x)=x²+2x+1 is equal to:

76 / 90

76. If a body moves with velocity v = 4t, what is its acceleration?

77 / 90

77. Evaluate: ∫ x dx.

78 / 90

78. Which statements about pH are correct?

1) pH > 7 indicates a base

2) pH = 7 is neutral

3) pH < 7 indicates an acid

4) pH measures temperature

79 / 90

79. Identify the correct statements about vectors.

1) Displacement is a vector

2) Scalar product gives a vector

3) Speed is a vector

4) Vector has both magnitude and direction

80 / 90

80. Fill in the blank: The energy possessed by a body due to its position is called ______ energy.

81 / 90

81. True or False: The value of Planck’s constant is approximately 6.63 × 10⁻³⁴ J·s.

1) True

2) False

82 / 90

82. Fill in the blank: The power of a lens is measured in ______.

83 / 90

83. Fill in the blank: The unit of power in the SI system is ______.

84 / 90

84. Fill in the blank: The derivative of e^x is ______.

85 / 90

85. Which of the following statements about oxidation and reduction are TRUE?

1) Oxidizing agent gets oxidized

2) Oxidation is loss of electrons

3) Reduction is gain of electrons

86 / 90

86. Fill in the blank: The integral of cos(x) dx is ______.

87 / 90

87. Fill in the blank: The curve y = x² represents a ______ function.

88 / 90

88. A function f(x) = 2x² + 3 is evaluated at x = 4. What is the value?

89 / 90

89. Fill in the blank: The law that relates pressure and volume at constant temperature is ______ law.

90 / 90

90. A particle starts from rest and moves with a constant acceleration of 3 m/s². What is its velocity after 4 seconds?

1) 6 m/s

2) 15 m/s

3) 12 m/s

4) 9 m/s

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