JEE MAINS TYPE 6 - Start Exam

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JEE MAINS TYPE 6

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1 / 75

1. Slope of line joining (8,8) and (8,12) is

1) 0

2) Undefined

3) 4

4) 1

2 / 75

2. If z = 3 − 1i, then z + conjugate(z) equals

1) 2

2) 1

3) 6

4) 3

3 / 75

3. The maximum number of electrons in a shell with principal quantum number n=3 is

1) 8

2) 32

3) 18

4) 9

4 / 75

4. Evaluate: 2^10 − 2^5.

5 / 75

5. In a parallel combination of resistors, the potential difference across each resistor is

1) Different

2) Same

3) Infinite

4) Zero

6 / 75

6. The value of Faraday constant is approximately

1) 6.022×10^23

2) 1.602×10^-19 C

3) 96500 C/mol

4) 8.314 J/mol·K

7 / 75

7. Value of cos(0) + sin(0) + tan(0) equals

1) 0

2) 1

3) 2

4) Undefined

8 / 75

8. Number of ways to arrange 8 distinct books on a shelf is

1) 16777216

2) 5040

3) 322560

4) 40320

9 / 75

9. If the AP is 7, 11, 15, … find the 10th term.

10 / 75

10. The energy of a capacitor is given by

1) (1/2)CV^2

2) QV^2

3) CV

4) (1/2)QV

11 / 75

11. If vectors a and b are parallel, then a×b is

1) Perpendicular to a always non-zero

2) Equal to a·b

3) 0 vector

4) Maximum

12 / 75

12. The oxidation state of chlorine in HClO is

1) +7

2) −1

3) +5

4) +1

13 / 75

13. Which of the following is a noble gas?

1) N

2) Ni

3) Ne

4) Na

14 / 75

14. If a right triangle has legs 6 and 8, find the hypotenuse.

15 / 75

15. If A and B are events with P(A)=0, then A is

1) Complementary event

2) Impossible event

3) Certain event

4) Independent event

16 / 75

16. The unit of resistance is

1) Volt

2) Watt

3) Ohm

4) Ampere

17 / 75

17. The correct increasing order of ionization enthalpy is

1) Si < Al < Mg < Na

2) Mg < Na < Al < Si

3) Na < Al < Mg < Si

4) Na < Mg < Al < Si

18 / 75

18. Which is a ligand?

1) H2

2) NaCl

3) NH3

4) Na+

19 / 75

19. A transformer works on

1) Photoelectric effect

2) Mutual induction

3) Electrostatics

4) Self induction only

20 / 75

20. In photoelectric effect, increasing intensity (keeping frequency above threshold) mainly increases

1) Maximum kinetic energy

2) Stopping potential

3) Number of emitted electrons

4) Threshold frequency

21 / 75

21. The functional group present in acetone is

1) Ketone

2) Ester

3) Alcohol

4) Aldehyde

22 / 75

22. Oxidation state of Mn in MnO2 is

23 / 75

23. If 1 mol ideal gas at 300 K has PV, with R=0.082 L·atm/mol·K, PV (L·atm) is

24 / 75

24. The SI unit of electric potential is

1) Tesla

2) Ohm

3) Coulomb

4) Volt

25 / 75

25. A body of mass 3 kg moves with velocity 4 m/s. Find momentum (kg·m/s).

26 / 75

26. The refractive index of a medium is defined as

1) c/v

2) c+v

3) v/c

4) cv

27 / 75

27. Which of the following has highest lattice enthalpy?

1) KBr

2) MgO

3) NaCl

4) CsI

28 / 75

28. Which type of lens is used to correct myopia?

1) Concave lens

2) Convex lens

3) Cylindrical lens only

4) No lens

29 / 75

29. The geometry of NH4+ ion is

1) Trigonal pyramidal

2) Tetrahedral

3) Linear

4) Square planar

30 / 75

30. In benzene, each carbon is

1) sp2 hybridized

2) sp hybridized

3) dsp2 hybridized

4) sp3 hybridized

31 / 75

31. Which compound is an alcohol?

1) CH3COOH

2) C2H5OH

3) CH3CHO

4) CH3COCH3

32 / 75

32. Which law states that induced emf opposes the change producing it?

1) Faraday’s law (only)

2) Lenz’s law

3) Ohm’s law

4) Coulomb’s law

33 / 75

33. The relation between frequency f, wavelength λ and speed v is

1) v = λ/f

2) f = v/λ^2

3) f = vλ

4) v = fλ

34 / 75

34. If a wire’s length is doubled and area is halved, its resistance becomes

1) 2R

2) 4R

3) R/4

4) R/2

35 / 75

35. Molar mass of H2SO4 is (g/mol).

36 / 75

36. Which of the following is a saturated hydrocarbon?

1) Ethane

2) Benzene

3) Ethyne

4) Ethene

37 / 75

37. When a ray passes from denser to rarer medium at angle greater than critical angle, it undergoes

1) Total internal reflection

2) Polarization

3) Dispersion

4) Diffraction

38 / 75

38. Mean of first 15 natural numbers is

1) 7.5

2) 7.0

3) 8.5

4) 8.0

39 / 75

39. General term of GP: 3, 3·1, 3·1^2, … is

1) 1^(n−1)

2) 3·1^n

3) 3+(n−1)1

4) 3·1^(n−1)

40 / 75

40. If y is directly proportional to x, then y/x is

1) Zero

2) Variable

3) Infinite

4) Constant

41 / 75

41. If a body falls freely for 3 s, find distance travelled (m). Take g=9.8 m/s^2 (rounded to 1 decimal).

42 / 75

42. The unit of electric current is

1) Watt

2) Ampere

3) Ohm

4) Coulomb

43 / 75

43. If f(x)=|x|, then f(−3) equals

1) −3

2) 3

3) 6

4) 0

44 / 75

44. If a body moves with constant acceleration, its velocity-time graph is

1) A circle

2) A straight line

3) A hyperbola

4) A parabola

45 / 75

45. If net external force on a system is zero, total momentum of the system is

1) Conserved

2) Not conserved

3) Always increases

4) Always decreases

46 / 75

46. Distance between points (5,0) and (0,8) is

1) 89

2) 9.434

3) 13

4) 3

47 / 75

47. The catalyst used in Haber process is

1) Cu

2) Fe

3) Ag

4) Zn

48 / 75

48. Which reagent is used for Tollens’ test?

1) Br2 water

2) Fehling solution only

3) [Ag(NH3)2]+

4) KMnO4

49 / 75

49. Number of terms in expansion of (a+b)^9 is

1) 11

2) 10

3) 18

4) 9

50 / 75

50. If sinθ=2/29 and cosθ=5/29 (θ acute), then tanθ equals

1) 10

2) 2/5

3) 7

4) 5/2

51 / 75

51. A capacitor of 4 μF is charged to 50 V. Find energy stored in μJ.

52 / 75

52. A charge of 5 C is moved through 12 V. Find work done (J).

53 / 75

53. How many subsets does a set with 9 elements have?

1) 512

2) 256

3) 81

4) 18

54 / 75

54. For hyperbola x^2/a^2 − y^2/b^2 = 1, the center is

1) (a,0)

2) (0,0)

3) (−a,0)

4) (0,b)

55 / 75

55. Compute: ∫_0^2 (3x^2) dx.

56 / 75

56. If f(x)=x^6, then f'(1) equals

1) 5

2) 6

3) 1

4) 36

57 / 75

57. A circle has radius 2. Its area (in terms of π) is

1) 4

2) 4π

3) Option 4

4) 2π

58 / 75

58. For a simple harmonic oscillator, the period depends on

1) Initial position only

2) Phase only

3) Amplitude (large) always

4) System parameters

59 / 75

59. pH of 1×10^-6 M HCl (ideal strong acid) is

60 / 75

60. The binding energy per nucleon is maximum for nuclei around

1) Iron region

2) Hydrogen

3) Helium

4) Uranium

61 / 75

61. The pH of 10^-4 M NaOH (ideal strong base) is

1) 14

2) 10

3) 7

4) 4

62 / 75

62. For an ideal gas, average kinetic energy of molecules depends on

1) Molar mass

2) Pressure only

3) Volume only

4) Temperature

63 / 75

63. In electrolysis, oxidation occurs at

1) Electrolyte

2) Anode

3) Cathode

4) Salt bridge

64 / 75

64. Value of determinant |3 3; 3 3| is

1) 0

2) 2

3) 18

4) Option 4

65 / 75

65. Evaluate: ∫_0^8 1 dx

1) 1

2) 7

3) 9

4) 8

66 / 75

66. Number of moles in 58.5 g of NaCl (M=58.5 g/mol) is

67 / 75

67. The number of moles present in 9 g of water is

1) 2

2) 0.25

3) 1

4) 0.5

68 / 75

68. For ideal solution, ΔHmix is

1) Infinite

2) Negative

3) Positive

4) 0

69 / 75

69. A body has uniform circular motion. Its speed is constant but its velocity changes because

1) Time changes

2) Direction changes

3) Mass changes

4) Magnitude changes

70 / 75

70. If a function is one-one, then it must pass the

1) Vertical line test

2) Horizontal line test

3) Circle test

4) Slope test

71 / 75

71. Which one is a strong acid?

1) CH3COOH

2) HCl

3) NH4OH

4) H2CO3

72 / 75

72. In refraction, the frequency of light

1) Becomes zero

2) Decreases

3) Increases

4) Remains unchanged

73 / 75

73. Compute: 11C2.

74 / 75

74. A wave of speed 500 m/s has frequency 100 Hz. Find wavelength (m).

75 / 75

75. For a first-order reaction, the unit of rate constant k is

1) L mol^-1 s^-1

2) s^-1

3) mol L^-1 s^-1

4) dimensionless

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