JEE MAINS TYPE 6 – Start Exam

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JEE MAINS TYPE 6

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1 / 75

1. The energy of a capacitor is given by

1) CV

2) QV^2

3) (1/2)CV^2

4) (1/2)QV

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2. A transformer works on

1) Self induction only

2) Mutual induction

3) Electrostatics

4) Photoelectric effect

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

1) Circle test

2) Vertical line test

3) Slope test

4) Horizontal line test

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4. Which of the following is a saturated hydrocarbon?

1) Ethane

2) Benzene

3) Ethene

4) Ethyne

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

1) 2R

2) R/2

3) R/4

4) 4R

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

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

1) Option 4

2) 2π

3) 4π

4) 4

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8. The correct increasing order of ionization enthalpy is

1) Si < Al < Mg < Na

2) Na < Al < Mg < Si

3) Mg < Na < Al < Si

4) Na < Mg < Al < Si

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9. Which of the following has highest lattice enthalpy?

1) KBr

2) MgO

3) NaCl

4) CsI

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

1) 5040

2) 322560

3) 40320

4) 16777216

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11. The unit of electric current is

1) Ampere

2) Coulomb

3) Ohm

4) Watt

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

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

1) 0

2) Option 4

3) 2

4) 18

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14. Mean of first 15 natural numbers is

1) 8.5

2) 8.0

3) 7.5

4) 7.0

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

1) A straight line

2) A circle

3) A parabola

4) A hyperbola

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

1) Iron region

2) Uranium

3) Hydrogen

4) Helium

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17. In benzene, each carbon is

1) dsp2 hybridized

2) sp3 hybridized

3) sp2 hybridized

4) sp hybridized

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18. Oxidation state of Mn in MnO2 is

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

1) Polarization

2) Diffraction

3) Dispersion

4) Total internal reflection

20 / 75

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

1) Zero

2) Same

3) Infinite

4) Different

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

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22. The value of Faraday constant is approximately

1) 1.602×10^-19 C

2) 8.314 J/mol·K

3) 6.022×10^23

4) 96500 C/mol

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23. Which compound is an alcohol?

1) C2H5OH

2) CH3COCH3

3) CH3COOH

4) CH3CHO

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24. For ideal solution, ΔHmix is

1) 0

2) Infinite

3) Positive

4) Negative

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25. Which is a ligand?

1) Na+

2) H2

3) NaCl

4) NH3

26 / 75

26. Compute: 11C2.

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27. Evaluate: 2^10 − 2^5.

28 / 75

28. Evaluate: ∫_0^8 1 dx

1) 8

2) 7

3) 9

4) 1

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

1) L mol^-1 s^-1

2) dimensionless

3) mol L^-1 s^-1

4) s^-1

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

1) 0

2) 2

3) Undefined

4) 1

31 / 75

31. 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

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

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

1) Impossible event

2) Certain event

3) Complementary event

4) Independent event

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

1) 8

2) 18

3) 32

4) 9

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

1) 0 vector

2) Perpendicular to a always non-zero

3) Equal to a·b

4) Maximum

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

1) Mass changes

2) Magnitude changes

3) Direction changes

4) Time changes

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

1) Ohm’s law

2) Coulomb’s law

3) Lenz’s law

4) Faraday’s law (only)

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

1) Phase only

2) Initial position only

3) System parameters

4) Amplitude (large) always

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39. In electrolysis, oxidation occurs at

1) Cathode

2) Anode

3) Electrolyte

4) Salt bridge

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

1) v = fλ

2) f = vλ

3) f = v/λ^2

4) v = λ/f

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41. If f(x)=|x|, then f(−3) equals

1) 6

2) −3

3) 3

4) 0

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42. Which reagent is used for Tollens’ test?

1) Br2 water

2) [Ag(NH3)2]+

3) Fehling solution only

4) KMnO4

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

1) 256

2) 81

3) 18

4) 512

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

1) Constant

2) Infinite

3) Zero

4) Variable

45 / 75

45. The oxidation state of chlorine in HClO is

1) +1

2) +7

3) −1

4) +5

46 / 75

46. In refraction, the frequency of light

1) Becomes zero

2) Decreases

3) Remains unchanged

4) Increases

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47. Which one is a strong acid?

1) NH4OH

2) HCl

3) H2CO3

4) CH3COOH

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

1) 89

2) 3

3) 13

4) 9.434

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

1) 3·1^n

2) 1^(n−1)

3) 3+(n−1)1

4) 3·1^(n−1)

50 / 75

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

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

52 / 75

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

1) 3

2) 1

3) 6

4) 2

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53. The SI unit of electric potential is

1) Ohm

2) Tesla

3) Volt

4) Coulomb

54 / 75

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

1) Volume only

2) Temperature

3) Pressure only

4) Molar mass

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

56 / 75

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

1) 5/2

2) 7

3) 2/5

4) 10

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57. The geometry of NH4+ ion is

1) Linear

2) Tetrahedral

3) Square planar

4) Trigonal pyramidal

58 / 75

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

1) 0.25

2) 1

3) 2

4) 0.5

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

1) No lens

2) Convex lens

3) Cylindrical lens only

4) Concave lens

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60. The catalyst used in Haber process is

1) Fe

2) Zn

3) Ag

4) Cu

61 / 75

61. The refractive index of a medium is defined as

1) v/c

2) c+v

3) c/v

4) cv

62 / 75

62. 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)

63 / 75

63. Compute: ∫_0^2 (3x^2) dx.

64 / 75

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

65 / 75

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

66 / 75

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

1) 1

2) 5

3) 36

4) 6

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

68 / 75

68. Which of the following is a noble gas?

1) Ni

2) Ne

3) N

4) Na

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69. The unit of resistance is

1) Ohm

2) Ampere

3) Volt

4) Watt

70 / 75

70. The functional group present in acetone is

1) Alcohol

2) Ketone

3) Aldehyde

4) Ester

71 / 75

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

1) Always decreases

2) Conserved

3) Always increases

4) Not conserved

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

1) 4

2) Undefined

3) 0

4) 1

73 / 75

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

1) 18

2) 9

3) 10

4) 11

74 / 75

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

1) 7

2) 10

3) 14

4) 4

75 / 75

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

The average score is 37%

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