JEE MAINS TYPE 5

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JEE MAINS TYPE 5

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1 / 75

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

1) Four times

2) Half

3) Two times

4) Eight times

2 / 75

2. The conjugate base of H2CO3 is

1) HCO3−

2) CO3^2−

3) H2CO3−

4) H3CO3+

3 / 75

3. ∫ 9x^8 dx equals

1) x^9 + C

2) 9x^9+C

3) ln x + C

4) x^8+C

4 / 75

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

1) Slit separation

2) Wavelength

3) 1/Screen distance

4) Refractive index

5 / 75

5. In coordination compounds, ligands donate

1) Only sigma bonds always

2) A pair of electrons

3) Neutrons

4) Protons

6 / 75

6. The shape of CO2 molecule is

1) Linear

2) Tetrahedral

3) Trigonal planar

4) Bent

7 / 75

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

8 / 75

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

9 / 75

9. The momentum of a photon of energy E is

1) c/E

2) Ec

3) E/c

4) E^2/c

10 / 75

10. Evaluate: (15×14×13)/(3×2×1).

11 / 75

11. Which of the following is a reducing agent?

1) KMnO4

2) O2

3) K2Cr2O7

4) H2

12 / 75

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

1) 45

2) 9

3) 11

4) 14

13 / 75

13. SI unit of electric charge is

1) Ampere

2) Volt

3) Coulomb

4) Ohm

14 / 75

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

15 / 75

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

1) Moving in circle always

2) At rest only

3) In equilibrium

4) Accelerating always

16 / 75

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

1) From south to north

2) From north to south

3) Circular around north only

4) Random

17 / 75

17. The hybridization of central atom in SF6 is

1) dsp2

2) sp2

3) sp3

4) sp3d2

18 / 75

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

1) −5+1i

2) 5+1i

3) 5−1i

4) −5−1i

19 / 75

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

1) -2

2) 24

3) 10

4) 2

20 / 75

20. The de Broglie wavelength decreases when

1) Momentum decreases

2) Speed decreases always

3) Mass decreases always

4) Momentum increases

21 / 75

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

1) 59

2) 57

3) 13

4) 55

22 / 75

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

1) 8

2) -4

3) -8

4) -12

23 / 75

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

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

2) y=4x+3

3) y−5=4(x−3)

4) y−3 = 4(x−5)

24 / 75

24. Which device measures potential difference?

1) Galvanometer only

2) Wattmeter

3) Voltmeter

4) Ammeter

25 / 75

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

26 / 75

26. Which quantity is scalar?

1) Velocity

2) Work

3) Force

4) Acceleration

27 / 75

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

1) 36

2) 84

3) 41

4) 9

28 / 75

28. Which of the following is a biodegradable polymer?

1) PHBV

2) PVC

3) Polystyrene

4) Teflon

29 / 75

29. The strongest intermolecular force among the following is

1) Hydrogen bonding

2) Dipole-dipole

3) London forces

4) Ion-induced dipole

30 / 75

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

31 / 75

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

1) Freezing point depression

2) Viscosity

3) Osmotic pressure

4) Boiling point elevation

32 / 75

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

1) ΔG° = RT ln K

2) ΔG° = R ln(K)/T

3) ΔG° = −RT/K

4) ΔG° = −RT ln K

33 / 75

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

34 / 75

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

1) H2SO4 + Na2SO4

2) HCl + NaCl

3) NaOH + NaCl

4) CH3COOH + CH3COONa

35 / 75

35. For an endothermic reaction, increasing temperature shifts equilibrium

1) Towards products

2) Stops reaction

3) No effect

4) Towards reactants

36 / 75

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

37 / 75

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

1) Cl < S < Si < Mg < Na

2) Na < Mg < Si < S < Cl

3) Si < S < Cl < Mg < Na

4) Mg < Na < Si < S < Cl

38 / 75

38. In SHM, total energy is proportional to

1) Amplitude^2

2) Amplitude

3) Frequency only

4) 1/Amplitude

39 / 75

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

1) Zero

2) Minimum

3) Equal to c

4) Maximum

40 / 75

40. A pure semiconductor at 0 K behaves as

1) Insulator

2) Conductor

3) Superconductor

4) Perfect resistor

41 / 75

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

1) 8

2) Option 4

3) 16

4) Option 3

42 / 75

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

43 / 75

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

1) 104

2) 48

3) 106

4) 102

44 / 75

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

1) 30

2) 10

3) 120

4) Option 4

45 / 75

45. The oxidation state of Cr in K2Cr2O7 is

1) +7

2) +6

3) +2

4) +3

46 / 75

46. The SI unit of magnetic field B is

1) Tesla

2) Weber

3) Newton

4) Coulomb

47 / 75

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

1) Time changes

2) Speed changes

3) Mass changes

4) Direction of velocity changes

48 / 75

48. Oxidation state of N in NH4+ is

49 / 75

49. Derivative of sin x is

1) cos x

2) −cos x

3) sin x

4) −sin x

50 / 75

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

1) y = a

2) y = −a

3) x = −a

4) x = a

51 / 75

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

1) Addition to alkene

2) Tertiary alkyl halide hydrolysis

3) Primary alkyl halide with strong nucleophile

4) Elimination always

52 / 75

52. lim_(x→0) (sin(8x))/x equals

1) 1

2) 8

3) 0

4) 64

53 / 75

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

1) NaCl

2) H2

3) Na

4) Cl2

54 / 75

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

1) 1.1

2) 0.3

3) 0.6

4) 0.5

55 / 75

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

1) Azimuthal (l)

2) Principal (n)

3) Magnetic (m)

4) Spin (s)

56 / 75

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

1) 25

2) 4

3) 0.25

4) −4

57 / 75

57. Which of the following is a Lewis base?

1) BF3

2) NH3

3) AlCl3

4) H+

58 / 75

58. The equivalent capacitance of capacitors in series is

1) Sum of capacitances

2) Equal to average

3) Less than smallest capacitance

4) Greater than largest

59 / 75

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

60 / 75

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

61 / 75

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

1) 6

2) 12

3) 5

4) 36

62 / 75

62. A convex mirror always forms an image that is

1) Virtual and diminished

2) Virtual and magnified

3) Real and magnified

4) Real and inverted

63 / 75

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

1) Inductor

2) Capacitor

3) Resistor

4) Ammeter

64 / 75

64. The order of reaction is equal to sum of

1) Stoichiometric coefficients

2) Powers of concentration terms in rate law

3) Moles of products

4) Activation energies

65 / 75

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

1) 4

2) 15

3) 6

4) 5

66 / 75

66. The work done by friction is generally

1) Negative

2) Positive always

3) Depends only on mass

4) Zero always

67 / 75

67. Value of ∑_{r=1}^5 r is

1) 25

2) 14

3) 15

4) 16

68 / 75

68. The correct order of bond strength is

1) Single > Double > Triple

2) All equal

3) Triple > Double > Single

4) Double > Single > Triple

69 / 75

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

1) π

2) π/2

3) −π/2

4) 0

70 / 75

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

1) (8,6)

2) (6.0,6)

3) (4,10)

4) (6.0,8.0)

71 / 75

71. The number of sigma bonds in benzene is

1) 15

2) 12

3) 9

4) 6

72 / 75

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

73 / 75

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

74 / 75

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

75 / 75

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

1) Not conserved

2) Always decreases

3) Always increases

4) Conserved

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