JEE MAINS TYPE 4 - Start Exam

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JEE MAINS TYPE 4

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1 / 75

1. The stopping potential in photoelectric effect equals

1) Kmax/e

2) e/Kmax

3) eKmax

4) Kmax

2 / 75

2. The energy stored in a capacitor is proportional to

1) V

2) V^2

3) √V

4) 1/V

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

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

5 / 75

5. The phenomenon used in optical fibres is

1) Total internal reflection

2) Diffraction

3) Interference

4) Dispersion

6 / 75

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

1) H2O/H+

2) Br2/CCl4

3) NaBH4

4) KMnO4 (cold)

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

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8. The correct order of acidic strength is

1) H2O > H2CO3 > HCl

2) H2CO3 > HCl > H2O

3) HCl > H2CO3 > H2O

4) HCl > H2O > H2CO3

9 / 75

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

1) 45°

2) 60°

3) 30°

4) 90°

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10. Oxidation state of carbon in CO2 is

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11. Compute: C(10,3).

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

1) 1

2) 17

3) 7

4) 5

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

14 / 75

14. In SN2 reaction, the rate depends on

1) Only substrate

2) Only solvent

3) Only nucleophile

4) Both substrate and nucleophile

15 / 75

15. The unit of molar conductivity is

1) S cm^-1

2) S cm^2 mol^-1

3) mol S^-1

4) cm^2 S^-1

16 / 75

16. The value of ∫ 0^π sin x dx is

1) 0

2) 2

3) 1

4) π

17 / 75

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

1) Same velocity

2) Zero velocity

3) Smaller velocity

4) Greater velocity

18 / 75

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

1) 6

2) 8

3) 2

4) 4

19 / 75

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

1) HF

2) HI

3) HBr

4) HCl

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

21 / 75

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

22 / 75

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

1) Zero always

2) Infinite

3) Maximum

4) Minimum

23 / 75

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

1) Inductor

2) Resistor

3) Ammeter

4) Capacitor

24 / 75

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

1) 0

2) Always negative

3) 1

4) Depends on element

25 / 75

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

26 / 75

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

1) 3

2) 4

3) 1

4) 2

27 / 75

27. The direction of induced emf is given by

1) Lenz’s law

2) Snell’s law

3) Coulomb’s law

4) Ohm’s law

28 / 75

28. The time period of a simple pendulum depends on

1) Mass

2) Time of day

3) Length and g

4) Amplitude only

29 / 75

29. The process of converting sugar into ethanol is

1) Fermentation

2) Hydrogenation

3) Saponification

4) Cracking

30 / 75

30. If a wire is stretched, its resistance generally

1) Increases

2) Becomes zero

3) Remains same

4) Decreases

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

1) Maximum

2) Depends on charge sign

3) Depends on speed

4) Zero

32 / 75

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

1) 0

2) 3xyz

3) (x+y+z)^3

4) x^3+y^3

33 / 75

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

34 / 75

34. Which of the following is a state function?

1) Path length

2) Enthalpy

3) Heat

4) Work

35 / 75

35. If z = −1 + i, then z^2 equals

1) −2 + 0i

2) 2 + 0i

3) 0 + 2i

4) 0 + -2i

36 / 75

36. The pKa of a stronger acid is

1) Undefined

2) Same

3) Lower

4) Higher

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

1) 0

2) Option 4

3) 2

4) 1

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38. Which of the following shows optical isomerism?

1) CH3CH(OH)COOH

2) CH3CH2OH

3) CH3COCH3

4) CH3COOH

39 / 75

39. Which of the following has tetrahedral geometry?

1) CH4

2) BF3

3) NH4+ is not tetrahedral

4) CO2

40 / 75

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

1) 1

2) Undefined

3) 0

4) ∞

41 / 75

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

1) 12

2) 5

3) 6

4) 7

42 / 75

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

1) −5

2) 6

3) 1

4) 5

43 / 75

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

1) π/2 or 3π/2

2) π/4 or 3π/4

3) 0 or π

4) π or 2π

44 / 75

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

1) 6

2) 4

3) 5

4) 7

45 / 75

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

1) 1 + x + x^2 + …

2) 1 + 2x + 3x^2 + …

3) x + x^2 + …

4) 1 − x + x^2 − …

46 / 75

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

1) Concave lens

2) Plane mirror

3) Concave mirror

4) Convex lens

47 / 75

47. The unit of magnetic flux is

1) Weber

2) Henry

3) Tesla

4) Ampere

48 / 75

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

1) 12

2) 48

3) 96

4) 24

49 / 75

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

50 / 75

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

1) 128 s

2) 1/256 s

3) 256 s

4) 1/128 s

51 / 75

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

1) Density

2) Mass

3) Volume

4) Temperature

52 / 75

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

1) Depends on velocity

2) −g

3) +g

4) 0

53 / 75

53. Which is the strongest oxidizing agent among halogens?

1) Cl2

2) Br2

3) I2

4) F2

54 / 75

54. Which is a cation exchange resin functional group?

1) −SO3H

2) −COO−

3) −OH

4) −NH2

55 / 75

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

1) 0.1

2) 0.2

3) 0.9

4) 0.45

56 / 75

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

1) Becomes zero

2) Decreases

3) Increases

4) Remains constant always

57 / 75

57. Which particle has no charge?

1) Neutron

2) Proton

3) Electron

4) Alpha particle

58 / 75

58. The escape speed from a planet depends on

1) Rotation only

2) Mass of object

3) Atmosphere only

4) Mass and radius of planet

59 / 75

59. Derivative of ln(x) is

1) ln x

2) x

3) 1/x

4) e^x

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

1) Always diverges

2) Deviated by 90°

3) Always converges

4) Undeviated

61 / 75

61. If A⊆B, then A∪B equals

1) ∅

2) A∩B

3) B

4) A

62 / 75

62. The number of unpaired electrons in O2 is

1) 2

2) 3

3) 1

4) 0

63 / 75

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

1) Decreasing

2) Zero

3) Increasing

4) Constant

64 / 75

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

65 / 75

65. Which of the following is an aromatic compound?

1) Propene

2) Benzene

3) Cyclohexane

4) Hexane

66 / 75

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

67 / 75

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

68 / 75

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

1) Parallel to all vectors only

2) Perpendicular to all vectors only

3) Unit vector

4) Zero vector

69 / 75

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

70 / 75

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

1) 2

2) 0

3) −4

4) −2

71 / 75

71. The value of sin^2θ + cos^2θ is

1) 1

2) 0

3) cos 2θ

4) 2

72 / 75

72. The oxidation state of iron in Fe2O3 is

1) +2

2) 0

3) +3

4) +6

73 / 75

73. Which of the following is a weak acid?

1) HCl

2) H2SO4

3) CH3COOH

4) HNO3

74 / 75

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

1) Non-zero

2) 0

3) Positive only

4) Negative only

75 / 75

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

1) CO2 and H2

2) N2 and H2

3) H2 and Cl2

4) N2 and O2

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