JEE MAINS TYPE 4 – Start Exam

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JEE MAINS TYPE 4

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1 / 75

1. The pKa of a stronger acid is

1) Higher

2) Same

3) Undefined

4) Lower

2 / 75

2. The value of ∫ 0^π sin x dx is

1) π

2) 0

3) 1

4) 2

3 / 75

3. If wavelength of light decreases, its frequency (in same medium) generally

1) Increases

2) Decreases

3) Becomes zero

4) Remains constant always

4 / 75

4. Evaluate the determinant of [[1,2],[3,4]].

5 / 75

5. The frequency of a tuning fork is 256 Hz. Its time period is

1) 256 s

2) 1/256 s

3) 1/128 s

4) 128 s

6 / 75

6. For an ideal gas at constant volume, pressure is proportional to

1) Temperature

2) Volume

3) Mass

4) Density

7 / 75

7. Which is the strongest oxidizing agent among halogens?

1) F2

2) I2

3) Cl2

4) Br2

8 / 75

8. Which of the following is an aromatic compound?

1) Cyclohexane

2) Propene

3) Hexane

4) Benzene

9 / 75

9. Oxidation state of carbon in CO2 is

10 / 75

10. Which of the following shows optical isomerism?

1) CH3CH(OH)COOH

2) CH3COOH

3) CH3CH2OH

4) CH3COCH3

11 / 75

11. The time period of a simple pendulum depends on

1) Amplitude only

2) Mass

3) Time of day

4) Length and g

12 / 75

12. Find the value of 9!/(7!).

13 / 75

13. If tanθ = √3 and θ is acute, then θ equals

1) 30°

2) 45°

3) 90°

4) 60°

14 / 75

14. A photon has wavelength 620 nm. Find its energy in eV using 1240 eV·nm (nearest integer).

15 / 75

15. For 1 mol ideal gas at 273 K and 1 atm, volume is (L) approximately.

16 / 75

16. The oxidation state of iron in Fe2O3 is

1) +2

2) +3

3) 0

4) +6

17 / 75

17. The standard enthalpy of formation of an element in its standard state is

1) Depends on element

2) 1

3) 0

4) Always negative

18 / 75

18. If a GP has first term 3 and common ratio 2, its 5th term is

1) 96

2) 12

3) 24

4) 48

19 / 75

19. If P(A)=0.4 and P(B)=0.5 for independent events, then P(A∩B) is

1) 0.45

2) 0.1

3) 0.2

4) 0.9

20 / 75

20. A 15 Ω resistor is connected to 30 V. Find current (A).

21 / 75

21. A body of mass 4 kg is acted upon by force 20 N. Find acceleration (m/s^2).

22 / 75

22. The value of sin^2θ + cos^2θ is

1) cos 2θ

2) 0

3) 2

4) 1

23 / 75

23. The escape speed from a planet depends on

1) Mass and radius of planet

2) Rotation only

3) Mass of object

4) Atmosphere only

24 / 75

24. In a series LCR circuit at resonance, impedance is

1) Maximum

2) Zero always

3) Minimum

4) Infinite

25 / 75

25. Which compound has highest boiling point due to H-bonding?

1) HI

2) HF

3) HCl

4) HBr

26 / 75

26. Which particle has no charge?

1) Proton

2) Electron

3) Neutron

4) Alpha particle

27 / 75

27. Which of the following has tetrahedral geometry?

1) NH4+ is not tetrahedral

2) CH4

3) CO2

4) BF3

28 / 75

28. The unit of molar conductivity is

1) S cm^2 mol^-1

2) S cm^-1

3) cm^2 S^-1

4) mol S^-1

29 / 75

29. The direction of induced emf is given by

1) Ohm’s law

2) Snell’s law

3) Lenz’s law

4) Coulomb’s law

30 / 75

30. If A⊆B, then A∪B equals

1) A

2) A∩B

3) ∅

4) B

31 / 75

31. If a vector has magnitude 0, then the vector is

1) Zero vector

2) Unit vector

3) Perpendicular to all vectors only

4) Parallel to all vectors only

32 / 75

32. A ray of light incident normally on a glass slab emerges

1) Always converges

2) Always diverges

3) Undeviated

4) Deviated by 90°

33 / 75

33. Which gas is used in making ammonia by Haber process?

1) CO2 and H2

2) N2 and O2

3) H2 and Cl2

4) N2 and H2

34 / 75

34. If a solution has 0.2 mol solute in 0.5 L, molarity is

35 / 75

35. The process of converting sugar into ethanol is

1) Fermentation

2) Cracking

3) Hydrogenation

4) Saponification

36 / 75

36. If x+y+z=0, then x^3+y^3+z^3 equals

1) 3xyz

2) x^3+y^3

3) 0

4) (x+y+z)^3

37 / 75

37. A lens which always forms a virtual, erect and diminished image is

1) Plane mirror

2) Convex lens

3) Concave mirror

4) Concave lens

38 / 75

38. The phenomenon used in optical fibres is

1) Dispersion

2) Interference

3) Total internal reflection

4) Diffraction

39 / 75

39. If a line is parallel to x-axis, its slope is

1) ∞

2) 1

3) Undefined

4) 0

40 / 75

40. If a and b are roots of x^2 − 5x + 6=0, then a+b equals

1) −5

2) 5

3) 1

4) 6

41 / 75

41. Solve for x: 5x + 9 = 64.

42 / 75

42. Which of the following is a weak acid?

1) HNO3

2) CH3COOH

3) H2SO4

4) HCl

43 / 75

43. If (a,b) are solutions of x+y=5 and x−y=1, then x equals

1) 1

2) 2

3) 4

4) 3

44 / 75

44. The stopping potential in photoelectric effect equals

1) eKmax

2) Kmax

3) e/Kmax

4) Kmax/e

45 / 75

45. The area of triangle with vertices (0,0), (4,0), (0,3) is

1) 12

2) 6

3) 7

4) 5

46 / 75

46. In a right triangle with legs 3 and 4, the hypotenuse is

1) 6

2) 7

3) 5

4) 4

47 / 75

47. If a wire is stretched, its resistance generally

1) Remains same

2) Increases

3) Becomes zero

4) Decreases

48 / 75

48. Which is a cation exchange resin functional group?

1) −SO3H

2) −NH2

3) −COO−

4) −OH

49 / 75

49. If a body moves with constant velocity, its net force is

1) Zero

2) Increasing

3) Decreasing

4) Constant

50 / 75

50. In an electric circuit, the device that stores energy in electric field is

1) Ammeter

2) Inductor

3) Resistor

4) Capacitor

51 / 75

51. Which of the following is a state function?

1) Enthalpy

2) Heat

3) Path length

4) Work

52 / 75

52. If A is invertible, then det(A) is

1) 0

2) Non-zero

3) Positive only

4) Negative only

53 / 75

53. If z = −1 + i, then z^2 equals

1) 2 + 0i

2) 0 + -2i

3) −2 + 0i

4) 0 + 2i

54 / 75

54. If the roots of x^2 + 4x + 4 = 0 are α, β then α=β equals

1) −2

2) 0

3) −4

4) 2

55 / 75

55. A body projected vertically upward has acceleration (taking upward positive) equal to

1) Depends on velocity

2) 0

3) +g

4) −g

56 / 75

56. The number of unpaired electrons in O2 is

1) 3

2) 0

3) 1

4) 2

57 / 75

57. Find the remainder when 7^5 is divided by 3.

1) Option 4

2) 1

3) 2

4) 0

58 / 75

58. The unit of magnetic flux is

1) Tesla

2) Weber

3) Henry

4) Ampere

59 / 75

59. Derivative of ln(x) is

1) 1/x

2) e^x

3) ln x

4) x

60 / 75

60. A capacitor of 2 μF is charged to 10 V. Find stored energy in μJ (use U=1/2CV^2).

61 / 75

61. In a uniform magnetic field, work done on a charged particle moving in a circle is

1) Depends on charge sign

2) Depends on speed

3) Zero

4) Maximum

62 / 75

62. If sinθ = 3/5 (θ acute), find cosθ (as a decimal upto 2 places).

63 / 75

63. In SN2 reaction, the rate depends on

1) Only solvent

2) Only substrate

3) Only nucleophile

4) Both substrate and nucleophile

64 / 75

64. A wave of frequency 25 Hz travels with speed 150 m/s. Find wavelength (m).

65 / 75

65. Compute: C(10,3).

66 / 75

66. The correct order of acidic strength is

1) H2CO3 > HCl > H2O

2) HCl > H2CO3 > H2O

3) H2O > H2CO3 > HCl

4) HCl > H2O > H2CO3

67 / 75

67. Which reagent converts alkene to alcohol (Markovnikov) under acidic conditions?

1) H2O/H+

2) NaBH4

3) KMnO4 (cold)

4) Br2/CCl4

68 / 75

68. The energy stored in a capacitor is proportional to

1) V

2) 1/V

3) √V

4) V^2

69 / 75

69. If cosθ = 0, then θ in [0,2π] can be

1) π/4 or 3π/4

2) π/2 or 3π/2

3) 0 or π

4) π or 2π

70 / 75

70. If two bodies have same momentum, the heavier body has

1) Same velocity

2) Greater velocity

3) Smaller velocity

4) Zero velocity

71 / 75

71. The number of valence electrons in chlorine (Z=17) is

1) 1

2) 17

3) 7

4) 5

72 / 75

72. Number of protons in 27Al (atomic number 13) is

73 / 75

73. Molar mass of CO2 is (g/mol).

74 / 75

74. If |x|<1, then 1/(1−x) can be expanded as

1) 1 + 2x + 3x^2 + …

2) 1 + x + x^2 + …

3) x + x^2 + …

4) 1 − x + x^2 − …

75 / 75

75. The number of atoms per unit cell in FCC lattice is

1) 4

2) 2

3) 6

4) 8

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