JEE MAINS TYPE 4 - Start Exam

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JEE MAINS TYPE 4

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1 / 75

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

1) 5

2) 7

3) 1

4) 17

2 / 75

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

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

1) 0

2) Always negative

3) 1

4) Depends on element

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

1) −2

2) −4

3) 2

4) 0

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

1) 1

2) ∞

3) Undefined

4) 0

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

1) Unit vector

2) Parallel to all vectors only

3) Perpendicular to all vectors only

4) Zero vector

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

1) 4

2) 2

3) 3

4) 1

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

1) x^3+y^3

2) 0

3) 3xyz

4) (x+y+z)^3

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9. Which is a cation exchange resin functional group?

1) −SO3H

2) −COO−

3) −OH

4) −NH2

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10. Which of the following is an aromatic compound?

1) Benzene

2) Propene

3) Hexane

4) Cyclohexane

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11. The direction of induced emf is given by

1) Ohm’s law

2) Lenz’s law

3) Coulomb’s law

4) Snell’s law

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12. The energy stored in a capacitor is proportional to

1) √V

2) 1/V

3) V^2

4) V

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

1) Deviated by 90°

2) Always converges

3) Undeviated

4) Always diverges

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

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15. Which particle has no charge?

1) Proton

2) Neutron

3) Alpha particle

4) Electron

16 / 75

16. Which of the following shows optical isomerism?

1) CH3CH2OH

2) CH3COOH

3) CH3COCH3

4) CH3CH(OH)COOH

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

1) 6

2) 5

3) 7

4) 12

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

1) 24

2) 12

3) 48

4) 96

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

1) N2 and O2

2) N2 and H2

3) CO2 and H2

4) H2 and Cl2

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20. Which of the following has tetrahedral geometry?

1) NH4+ is not tetrahedral

2) CH4

3) BF3

4) CO2

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

1) Non-zero

2) Negative only

3) 0

4) Positive only

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22. If z = −1 + i, then z^2 equals

1) 2 + 0i

2) 0 + 2i

3) 0 + -2i

4) −2 + 0i

23 / 75

23. The phenomenon used in optical fibres is

1) Dispersion

2) Total internal reflection

3) Interference

4) Diffraction

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24. The stopping potential in photoelectric effect equals

1) Kmax/e

2) Kmax

3) eKmax

4) e/Kmax

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

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26. If a wire is stretched, its resistance generally

1) Becomes zero

2) Increases

3) Decreases

4) Remains same

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

1) Capacitor

2) Ammeter

3) Inductor

4) Resistor

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

1) +g

2) −g

3) 0

4) Depends on velocity

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29. Which of the following is a weak acid?

1) CH3COOH

2) HCl

3) H2SO4

4) HNO3

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

1) 0.2

2) 0.45

3) 0.1

4) 0.9

31 / 75

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

1) 5

2) 1

3) 6

4) −5

32 / 75

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

33 / 75

33. The escape speed from a planet depends on

1) Mass and radius of planet

2) Mass of object

3) Rotation only

4) Atmosphere only

34 / 75

34. Which of the following is a state function?

1) Heat

2) Path length

3) Enthalpy

4) Work

35 / 75

35. The value of sin^2θ + cos^2θ is

1) cos 2θ

2) 2

3) 0

4) 1

36 / 75

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

37 / 75

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

1) π/2 or 3π/2

2) 0 or π

3) π/4 or 3π/4

4) π or 2π

38 / 75

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

39 / 75

39. Compute: C(10,3).

40 / 75

40. The unit of molar conductivity is

1) S cm^-1

2) mol S^-1

3) cm^2 S^-1

4) S cm^2 mol^-1

41 / 75

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

42 / 75

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

43 / 75

43. If A⊆B, then A∪B equals

1) ∅

2) A∩B

3) B

4) A

44 / 75

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

1) Constant

2) Zero

3) Decreasing

4) Increasing

45 / 75

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

1) 60°

2) 30°

3) 45°

4) 90°

46 / 75

46. In SN2 reaction, the rate depends on

1) Both substrate and nucleophile

2) Only nucleophile

3) Only substrate

4) Only solvent

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

1) Depends on speed

2) Zero

3) Maximum

4) Depends on charge sign

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

1) 1

2) 0

3) Option 4

4) 2

49 / 75

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

1) 5

2) 4

3) 7

4) 6

50 / 75

50. Derivative of ln(x) is

1) ln x

2) 1/x

3) x

4) e^x

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51. The time period of a simple pendulum depends on

1) Mass

2) Time of day

3) Amplitude only

4) Length and g

52 / 75

52. The pKa of a stronger acid is

1) Higher

2) Undefined

3) Same

4) Lower

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

54 / 75

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

1) Greater velocity

2) Smaller velocity

3) Same velocity

4) Zero velocity

55 / 75

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

1) Concave mirror

2) Convex lens

3) Plane mirror

4) Concave lens

56 / 75

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

1) Temperature

2) Density

3) Mass

4) Volume

57 / 75

57. Oxidation state of carbon in CO2 is

58 / 75

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

59 / 75

59. Which is the strongest oxidizing agent among halogens?

1) I2

2) Br2

3) Cl2

4) F2

60 / 75

60. The correct order of acidic strength is

1) H2CO3 > HCl > H2O

2) H2O > H2CO3 > HCl

3) HCl > H2CO3 > H2O

4) HCl > H2O > H2CO3

61 / 75

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

62 / 75

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

1) 2

2) 6

3) 4

4) 8

63 / 75

63. The process of converting sugar into ethanol is

1) Fermentation

2) Cracking

3) Saponification

4) Hydrogenation

64 / 75

64. The oxidation state of iron in Fe2O3 is

1) +2

2) +3

3) +6

4) 0

65 / 75

65. The value of ∫ 0^π sin x dx is

1) 0

2) π

3) 1

4) 2

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

1) Decreases

2) Increases

3) Remains constant always

4) Becomes zero

67 / 75

67. The unit of magnetic flux is

1) Tesla

2) Weber

3) Henry

4) Ampere

68 / 75

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

1) Maximum

2) Minimum

3) Infinite

4) Zero always

69 / 75

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

70 / 75

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

1) 128 s

2) 256 s

3) 1/256 s

4) 1/128 s

71 / 75

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

1) NaBH4

2) KMnO4 (cold)

3) H2O/H+

4) Br2/CCl4

72 / 75

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

73 / 75

73. The number of unpaired electrons in O2 is

1) 3

2) 2

3) 0

4) 1

74 / 75

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

1) HF

2) HI

3) HCl

4) HBr

75 / 75

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

1) 1 + x + x^2 + …

2) x + x^2 + …

3) 1 − x + x^2 − …

4) 1 + 2x + 3x^2 + …

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