JEE MAINS TYPE 4 – Start Exam

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JEE MAINS TYPE 4

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1 / 75

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

1) Maximum

2) Zero always

3) Infinite

4) Minimum

2 / 75

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

1) Greater velocity

2) Same velocity

3) Smaller velocity

4) Zero velocity

3 / 75

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

1) Volume

2) Temperature

3) Density

4) Mass

4 / 75

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

1) Zero

2) Depends on charge sign

3) Depends on speed

4) Maximum

5 / 75

5. The unit of magnetic flux is

1) Ampere

2) Tesla

3) Weber

4) Henry

6 / 75

6. Which is the strongest oxidizing agent among halogens?

1) F2

2) I2

3) Cl2

4) Br2

7 / 75

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

1) Unit vector

2) Zero vector

3) Parallel to all vectors only

4) Perpendicular to all vectors only

8 / 75

8. The escape speed from a planet depends on

1) Rotation only

2) Atmosphere only

3) Mass of object

4) Mass and radius of planet

9 / 75

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

1) −5

2) 1

3) 6

4) 5

10 / 75

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

1) HCl

2) HBr

3) HI

4) HF

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

1) Decreases

2) Increases

3) Becomes zero

4) Remains constant always

12 / 75

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

1) 4

2) 3

3) 1

4) 2

13 / 75

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

1) 2

2) −2

3) −4

4) 0

14 / 75

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

1) 1

2) 5

3) 17

4) 7

15 / 75

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

1) 6

2) 4

3) 5

4) 7

16 / 75

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

1) Increasing

2) Zero

3) Decreasing

4) Constant

17 / 75

17. The oxidation state of iron in Fe2O3 is

1) 0

2) +2

3) +6

4) +3

18 / 75

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

19 / 75

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

20 / 75

20. In SN2 reaction, the rate depends on

1) Only solvent

2) Only substrate

3) Both substrate and nucleophile

4) Only nucleophile

21 / 75

21. Derivative of ln(x) is

1) 1/x

2) ln x

3) x

4) e^x

22 / 75

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

1) 1/128 s

2) 1/256 s

3) 128 s

4) 256 s

23 / 75

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

24 / 75

24. The correct order of acidic strength is

1) H2O > H2CO3 > HCl

2) HCl > H2CO3 > H2O

3) H2CO3 > HCl > H2O

4) HCl > H2O > H2CO3

25 / 75

25. 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

26 / 75

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

27 / 75

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

28 / 75

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

1) Always negative

2) 1

3) 0

4) Depends on element

29 / 75

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

30 / 75

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

1) Undefined

2) ∞

3) 0

4) 1

31 / 75

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

1) Br2/CCl4

2) H2O/H+

3) NaBH4

4) KMnO4 (cold)

32 / 75

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

1) π or 2π

2) 0 or π

3) π/4 or 3π/4

4) π/2 or 3π/2

33 / 75

33. Which is a cation exchange resin functional group?

1) −SO3H

2) −NH2

3) −OH

4) −COO−

34 / 75

34. Which particle has no charge?

1) Proton

2) Alpha particle

3) Neutron

4) Electron

35 / 75

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

1) 6

2) 8

3) 2

4) 4

36 / 75

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

1) 0.45

2) 0.2

3) 0.9

4) 0.1

37 / 75

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

1) 1 + 2x + 3x^2 + …

2) x + x^2 + …

3) 1 + x + x^2 + …

4) 1 − x + x^2 − …

38 / 75

38. If a wire is stretched, its resistance generally

1) Decreases

2) Remains same

3) Becomes zero

4) Increases

39 / 75

39. The direction of induced emf is given by

1) Coulomb’s law

2) Ohm’s law

3) Snell’s law

4) Lenz’s law

40 / 75

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

1) 30°

2) 90°

3) 60°

4) 45°

41 / 75

41. The value of ∫ 0^π sin x dx is

1) π

2) 2

3) 0

4) 1

42 / 75

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

43 / 75

43. Which of the following is a weak acid?

1) H2SO4

2) HNO3

3) CH3COOH

4) HCl

44 / 75

44. The unit of molar conductivity is

1) cm^2 S^-1

2) mol S^-1

3) S cm^-1

4) S cm^2 mol^-1

45 / 75

45. The phenomenon used in optical fibres is

1) Diffraction

2) Interference

3) Total internal reflection

4) Dispersion

46 / 75

46. The number of unpaired electrons in O2 is

1) 3

2) 1

3) 2

4) 0

47 / 75

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

48 / 75

48. The energy stored in a capacitor is proportional to

1) V^2

2) 1/V

3) √V

4) V

49 / 75

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

50 / 75

50. The process of converting sugar into ethanol is

1) Saponification

2) Fermentation

3) Hydrogenation

4) Cracking

51 / 75

51. The value of sin^2θ + cos^2θ is

1) 2

2) 1

3) cos 2θ

4) 0

52 / 75

52. Which of the following has tetrahedral geometry?

1) BF3

2) CO2

3) CH4

4) NH4+ is not tetrahedral

53 / 75

53. Which of the following is an aromatic compound?

1) Cyclohexane

2) Benzene

3) Propene

4) Hexane

54 / 75

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

1) Convex lens

2) Plane mirror

3) Concave lens

4) Concave mirror

55 / 75

55. Which of the following shows optical isomerism?

1) CH3CH(OH)COOH

2) CH3COOH

3) CH3CH2OH

4) CH3COCH3

56 / 75

56. Compute: C(10,3).

57 / 75

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

1) 0

2) Depends on velocity

3) +g

4) −g

58 / 75

58. If z = −1 + i, then z^2 equals

1) 0 + -2i

2) −2 + 0i

3) 0 + 2i

4) 2 + 0i

59 / 75

59. The pKa of a stronger acid is

1) Lower

2) Same

3) Higher

4) Undefined

60 / 75

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

61 / 75

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

1) Option 4

2) 2

3) 0

4) 1

62 / 75

62. Which of the following is a state function?

1) Path length

2) Heat

3) Work

4) Enthalpy

63 / 75

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

1) 6

2) 7

3) 12

4) 5

64 / 75

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

65 / 75

65. The stopping potential in photoelectric effect equals

1) e/Kmax

2) Kmax/e

3) eKmax

4) Kmax

66 / 75

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

67 / 75

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

1) 0

2) Positive only

3) Negative only

4) Non-zero

68 / 75

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

1) 96

2) 12

3) 24

4) 48

69 / 75

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

1) Capacitor

2) Inductor

3) Ammeter

4) Resistor

70 / 75

70. The time period of a simple pendulum depends on

1) Length and g

2) Amplitude only

3) Time of day

4) Mass

71 / 75

71. Oxidation state of carbon in CO2 is

72 / 75

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

1) H2 and Cl2

2) N2 and H2

3) CO2 and H2

4) N2 and O2

73 / 75

73. If A⊆B, then A∪B equals

1) A

2) A∩B

3) B

4) ∅

74 / 75

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

75 / 75

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

1) Undeviated

2) Always converges

3) Always diverges

4) Deviated by 90°

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