JEE MAINS TYPE 5 – Start Exam

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JEE MAINS TYPE 5

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1 / 75

1. The hybridization of central atom in SF6 is

1) sp3

2) sp2

3) dsp2

4) sp3d2

2 / 75

2. For ideal gas, if n=2 mol, T=300 K, R=0.082 L·atm/mol·K, then PV (L·atm) is

3 / 75

3. In SHM, total energy is proportional to

1) 1/Amplitude

2) Frequency only

3) Amplitude^2

4) Amplitude

4 / 75

4. Circle x^2 + y^2 = 36 has radius

1) 36

2) 12

3) 5

4) 6

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5. Midpoint of (4,6) and (8,10) is

1) (4,10)

2) (6.0,6)

3) (8,6)

4) (6.0,8.0)

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6. The magnetic field lines inside a bar magnet are directed

1) From south to north

2) Random

3) From north to south

4) Circular around north only

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7. If current through a wire doubles, the heat produced in same time (Joule’s law) becomes

1) Two times

2) Half

3) Eight times

4) Four times

8 / 75

8. Which quantum number determines the shape of an orbital?

1) Spin (s)

2) Magnetic (m)

3) Azimuthal (l)

4) Principal (n)

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9. A fair coin is tossed 4 times. Number of outcomes is

1) Option 4

2) 8

3) 16

4) Option 3

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10. Trace of matrix [[4,1],[2,6]] is

1) 24

2) -2

3) 2

4) 10

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11. If z = 5+1i, then conjugate of z is

1) −5+1i

2) 5−1i

3) −5−1i

4) 5+1i

12 / 75

12. Molarity when 0.75 mol solute is present in 1.5 L solution is

13 / 75

13. A capacitor C=5 μF is charged to V=20 V. Find energy stored in μJ.

14 / 75

14. A body moving with constant speed in a circle has acceleration because

1) Speed changes

2) Mass changes

3) Direction of velocity changes

4) Time changes

15 / 75

15. Number of permutations of letters in word ‘LEVEL’ is

1) Option 4

2) 10

3) 30

4) 120

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16. A wave has speed 340 m/s and wavelength 2 m. Find frequency (Hz).

17 / 75

17. In coordination compounds, ligands donate

1) A pair of electrons

2) Protons

3) Only sigma bonds always

4) Neutrons

18 / 75

18. Which of the following is a reducing agent?

1) K2Cr2O7

2) H2

3) KMnO4

4) O2

19 / 75

19. A force of 40 N acts on mass 8 kg. Find acceleration (m/s^2).

20 / 75

20. For an endothermic reaction, increasing temperature shifts equilibrium

1) Stops reaction

2) Towards reactants

3) Towards products

4) No effect

21 / 75

21. Evaluate: ∫_1^2 (1/x) dx (rounded to 3 decimals).

22 / 75

22. The conjugate base of H2CO3 is

1) H2CO3−

2) HCO3−

3) CO3^2−

4) H3CO3+

23 / 75

23. Oxidation state of N in NH4+ is

24 / 75

24. A pure semiconductor at 0 K behaves as

1) Superconductor

2) Insulator

3) Conductor

4) Perfect resistor

25 / 75

25. The number of sigma bonds in benzene is

1) 15

2) 6

3) 12

4) 9

26 / 75

26. Number of atoms in 0.5 mol of He (use NA≈6.022×10^23) in scientific notation (×10^23) rounded to 3 decimals.

27 / 75

27. Which of the following is an example of SN1 reaction?

1) Elimination always

2) Addition to alkene

3) Primary alkyl halide with strong nucleophile

4) Tertiary alkyl halide hydrolysis

28 / 75

28. Which of the following is an example of a buffer solution?

1) NaOH + NaCl

2) H2SO4 + Na2SO4

3) CH3COOH + CH3COONa

4) HCl + NaCl

29 / 75

29. For parabola y^2 = 4ax, the directrix is

1) x = −a

2) y = a

3) y = −a

4) x = a

30 / 75

30. In an AC circuit, the device that opposes change in current is

1) Inductor

2) Capacitor

3) Ammeter

4) Resistor

31 / 75

31. The correct order of bond strength is

1) Triple > Double > Single

2) Single > Double > Triple

3) Double > Single > Triple

4) All equal

32 / 75

32. The shape of CO2 molecule is

1) Tetrahedral

2) Bent

3) Trigonal planar

4) Linear

33 / 75

33. Coefficient of x^2 in (1+x)^9 is

1) 84

2) 36

3) 9

4) 41

34 / 75

34. A body of mass 5 kg moves with speed 6 m/s. Find momentum (kg·m/s).

35 / 75

35. The refractive index of a medium is maximum when speed of light in it is

1) Maximum

2) Equal to c

3) Minimum

4) Zero

36 / 75

36. Which of the following is a biodegradable polymer?

1) PHBV

2) PVC

3) Teflon

4) Polystyrene

37 / 75

37. If y = x^3, find dy/dx at x=2.

38 / 75

38. If two forces act on a body and the net force is zero, the body must be

1) In equilibrium

2) Accelerating always

3) Moving in circle always

4) At rest only

39 / 75

39. Which device measures potential difference?

1) Voltmeter

2) Ammeter

3) Wattmeter

4) Galvanometer only

40 / 75

40. Which quantity is scalar?

1) Acceleration

2) Force

3) Velocity

4) Work

41 / 75

41. If P(A)=0.6, P(B)=0.5 and A,B independent, then P(A|B) equals

1) 1.1

2) 0.6

3) 0.5

4) 0.3

42 / 75

42. For a body in free fall (neglect air resistance), mechanical energy is

1) Always increases

2) Conserved

3) Not conserved

4) Always decreases

43 / 75

43. Determinant of upper triangular matrix diag(3,3,5) is

1) 11

2) 14

3) 45

4) 9

44 / 75

44. Which is the correct increasing order of metallic character across period 3?

1) Na < Mg < Si < S < Cl

2) Cl < S < Si < Mg < Na

3) Mg < Na < Si < S < Cl

4) Si < S < Cl < Mg < Na

45 / 75

45. Derivative of sin x is

1) −cos x

2) −sin x

3) sin x

4) cos x

46 / 75

46. A 9 V battery is connected to a 3 Ω resistor. Find current (A).

47 / 75

47. In Young’s double slit experiment, fringe width is directly proportional to

1) Slit separation

2) Refractive index

3) 1/Screen distance

4) Wavelength

48 / 75

48. Which of the following is a Lewis base?

1) NH3

2) AlCl3

3) BF3

4) H+

49 / 75

49. The de Broglie wavelength decreases when

1) Mass decreases always

2) Speed decreases always

3) Momentum decreases

4) Momentum increases

50 / 75

50. Principal value of sin^{-1}(1) is

1) 0

2) π

3) −π/2

4) π/2

51 / 75

51. The order of reaction is equal to sum of

1) Powers of concentration terms in rate law

2) Activation energies

3) Stoichiometric coefficients

4) Moles of products

52 / 75

52. The oxidation state of Cr in K2Cr2O7 is

1) +7

2) +2

3) +6

4) +3

53 / 75

53. If a vector has components (3,4,12), find its magnitude (nearest integer).

54 / 75

54. Which of the following is NOT a colligative property?

1) Freezing point depression

2) Osmotic pressure

3) Viscosity

4) Boiling point elevation

55 / 75

55. In electrolysis of molten NaCl, product at cathode is

1) Na

2) Cl2

3) H2

4) NaCl

56 / 75

56. lim_(x→0) (sin(8x))/x equals

1) 8

2) 0

3) 1

4) 64

57 / 75

57. The focal length of a lens is 25 cm. The power (in dioptres) is

1) 0.25

2) 25

3) 4

4) −4

58 / 75

58. For a reaction, ΔG° is related to equilibrium constant K by

1) ΔG° = −RT/K

2) ΔG° = −RT ln K

3) ΔG° = RT ln K

4) ΔG° = R ln(K)/T

59 / 75

59. Equation of line with slope 4 passing through (5,3) is

1) y=4x+3

2) y−3 = 4(x−5)

3) y+3=4(x+5)

4) y−5=4(x−3)

60 / 75

60. A convex mirror always forms an image that is

1) Real and magnified

2) Virtual and diminished

3) Virtual and magnified

4) Real and inverted

61 / 75

61. SI unit of electric charge is

1) Coulomb

2) Ohm

3) Volt

4) Ampere

62 / 75

62. For quadratic equation x^2 − 2x + 3 = 0, the discriminant (b^2−4ac) equals

1) -4

2) -12

3) 8

4) -8

63 / 75

63. Sum of first 8 terms of AP with first term 6 and common difference 2 is

1) 48

2) 104

3) 102

4) 106

64 / 75

64. ∫ 9x^8 dx equals

1) 9x^9+C

2) x^8+C

3) x^9 + C

4) ln x + C

65 / 75

65. The strongest intermolecular force among the following is

1) Dipole-dipole

2) Hydrogen bonding

3) Ion-induced dipole

4) London forces

66 / 75

66. If log_10(1000)=3, then log_10(10^5) equals

1) 15

2) 5

3) 4

4) 6

67 / 75

67. The momentum of a photon of energy E is

1) c/E

2) E^2/c

3) Ec

4) E/c

68 / 75

68. The work done by friction is generally

1) Positive always

2) Zero always

3) Negative

4) Depends only on mass

69 / 75

69. The equivalent capacitance of capacitors in series is

1) Equal to average

2) Greater than largest

3) Sum of capacitances

4) Less than smallest capacitance

70 / 75

70. If (x−2)(x−9)=0, find x^2 (when x is the larger root).

71 / 75

71. pH of 1×10^-3 M HNO3 (strong acid, ideal) is

72 / 75

72. The SI unit of magnetic field B is

1) Newton

2) Tesla

3) Weber

4) Coulomb

73 / 75

73. Value of ∑_{r=1}^5 r is

1) 15

2) 14

3) 16

4) 25

74 / 75

74. Evaluate: (15×14×13)/(3×2×1).

75 / 75

75. If vector v = 5i + 4j + 4k, then |v|^2 equals

1) 55

2) 59

3) 57

4) 13

The average score is 68%

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