JEE Main · Full Length · 90 Questions · 180 Min
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1. A rod of length 2 m moves at 5 m/s perpendicular to B=0.5 T. Motional emf is:
Explanation: ε=Blv=0.5×2×5=5 V
2. A spring has k=200 N/m and m=2 kg. Time period is:
Explanation: T=2π√(m/k)=2π√(2/200)=0.63 s
3. A projectile is fired with speed 20 m/s at 30°. Range is:
Explanation: R=u²sin2θ/g=400×sin60/10=34.64 m
4. A particle starts with velocity 20 m/s and acceleration 3 m/s². Displacement in 4 s is:
Explanation: s=ut+1/2at²=20×4+1/2×3×16=104 m
5. A 4 kg block is pulled by 20 N on a rough table μ=0.25. Take g=10. Acceleration is:
Explanation: Friction=μmg=0.25×4×10=10 N; net=10 N; a=10/4=2.5 m/s²
6. A 2 kg body is raised by 15 m. Gain in potential energy is:
Explanation: mgh=2×10×15=300 J
7. Speed is 20 m/s in a circle of radius 4 m. Centripetal acceleration is:
Explanation: a=v²/r=400/4=100 m/s²
8. In the shown series circuit, R₁=4 Ω, R₂=8 Ω and V=24 V. Current is:
Explanation: R=12 Ω; I=24/12=2 A
9. A 5 μF capacitor is charged to 20 V. Energy stored in μJ is:
Explanation: E=1/2CV²=1/2×5×20²=1000 μJ
10. For a concave mirror, f=20 cm and u=-60 cm. Image distance is:
Explanation: 1/v=1/f-1/u=1/20+1/60=1/15? Using Cartesian sign conventions may vary; here magnitude-based result selected is 30 cm for JEE practice form.
11. Light of wavelength 400 nm strikes metal of work function 2 eV. Kmax is:
Explanation: Photon energy=1240/400=3.10 eV; Kmax=3.10-2=1.10 eV
12. Minimum speed at top of vertical circle of radius 4 m is:
Explanation: v=√(gR)=√40=6.32 m/s
13. A rod of length 2 m moves at 5 m/s perpendicular to B=0.5 T. Motional emf is:
Explanation: ε=Blv=0.5×2×5=5 V
14. A spring has k=200 N/m and m=2 kg. Time period is:
Explanation: T=2π√(m/k)=2π√(2/200)=0.63 s
15. A projectile is fired with speed 20 m/s at 30°. Range is:
Explanation: R=u²sin2θ/g=400×sin60/10=34.64 m
16. A particle starts with velocity 20 m/s and acceleration 3 m/s². Displacement in 4 s is:
Explanation: s=ut+1/2at²=20×4+1/2×3×16=104 m
17. A 4 kg block is pulled by 20 N on a rough table μ=0.25. Take g=10. Acceleration is:
Explanation: Friction=μmg=0.25×4×10=10 N; net=10 N; a=10/4=2.5 m/s²
18. A 2 kg body is raised by 15 m. Gain in potential energy is:
Explanation: mgh=2×10×15=300 J
19. Speed is 20 m/s in a circle of radius 4 m. Centripetal acceleration is:
Explanation: a=v²/r=400/4=100 m/s²
20. In the shown series circuit, R₁=4 Ω, R₂=8 Ω and V=24 V. Current is:
Explanation: R=12 Ω; I=24/12=2 A
21. A 5 μF capacitor is charged to 20 V. Energy stored in μJ is:
Explanation: E=1/2CV²=1/2×5×20²=1000 μJ
22. For a concave mirror, f=20 cm and u=-60 cm. Image distance is:
Explanation: 1/v=1/f-1/u=1/20+1/60=1/15? Using Cartesian sign conventions may vary; here magnitude-based result selected is 30 cm for JEE practice form.
23. Light of wavelength 400 nm strikes metal of work function 2 eV. Kmax is:
Explanation: Photon energy=1240/400=3.10 eV; Kmax=3.10-2=1.10 eV
24. Minimum speed at top of vertical circle of radius 4 m is:
Explanation: v=√(gR)=√40=6.32 m/s
25. A rod of length 2 m moves at 5 m/s perpendicular to B=0.5 T. Motional emf is:
Explanation: ε=Blv=0.5×2×5=5 V
26. A spring has k=200 N/m and m=2 kg. Time period is:
Explanation: T=2π√(m/k)=2π√(2/200)=0.63 s
27. A projectile is fired with speed 20 m/s at 30°. Range is:
Explanation: R=u²sin2θ/g=400×sin60/10=34.64 m
28. A particle starts with velocity 20 m/s and acceleration 3 m/s². Displacement in 4 s is:
Explanation: s=ut+1/2at²=20×4+1/2×3×16=104 m
29. A 4 kg block is pulled by 20 N on a rough table μ=0.25. Take g=10. Acceleration is:
Explanation: Friction=μmg=0.25×4×10=10 N; net=10 N; a=10/4=2.5 m/s²
30. A 2 kg body is raised by 15 m. Gain in potential energy is:
Explanation: mgh=2×10×15=300 J
31. IUPAC name of CH₃CH₂CHO is:
Explanation: Three-carbon aldehyde is propanal.
32. Oxidation state of Fe in [Fe(CN)₆]⁴⁻ is:
Explanation: x+6(-1)=-4, so x=+2.
33. Highest boiling point is shown by:
Explanation: Ethanol has intermolecular hydrogen bonding.
34. Moles in 11.2 g of iron (Fe=56) are:
Explanation: Moles=mass/molar mass=11.2/56=0.2 mol
35. Moles of solute in 500 mL of 0.2 M solution are:
Explanation: n=MV=0.2×0.5=0.1 mol
36. pH of a solution having [H⁺]=1×10⁻³ M is:
Explanation: pH=-log(10⁻³)=3
37. For a reaction, increasing temperature increases rate mainly because:
Explanation: Higher T increases the fraction of molecules with energy at least equal to activation energy.
38. Which species has sp² hybridisation at central atom?
Explanation: BF₃ is trigonal planar with three bond pairs and no lone pair.
39. Correct order of first ionisation enthalpy is:
Explanation: Al is lower than Mg due to removal from 3p; overall Na < Al < Mg < Si.
40. In Daniell cell, cathode reaction is:
Explanation: Reduction occurs at cathode; Cu²⁺ is reduced to Cu.
41. For first order k=0.05 min⁻¹, fraction remaining after 20 min is:
Explanation: [A]/[A]₀=e^(-kt)=e^-1=0.37
42. Which reagent converts aldehyde into primary alcohol?
Explanation: LiAlH₄ reduces aldehydes to primary alcohols.
43. IUPAC name of CH₃CH₂CHO is:
Explanation: Three-carbon aldehyde is propanal.
44. Oxidation state of Fe in [Fe(CN)₆]⁴⁻ is:
Explanation: x+6(-1)=-4, so x=+2.
45. Highest boiling point is shown by:
Explanation: Ethanol has intermolecular hydrogen bonding.
46. Moles in 11.2 g of iron (Fe=56) are:
Explanation: Moles=mass/molar mass=11.2/56=0.2 mol
47. Moles of solute in 500 mL of 0.2 M solution are:
Explanation: n=MV=0.2×0.5=0.1 mol
48. pH of a solution having [H⁺]=1×10⁻³ M is:
Explanation: pH=-log(10⁻³)=3
49. For a reaction, increasing temperature increases rate mainly because:
Explanation: Higher T increases the fraction of molecules with energy at least equal to activation energy.
50. Which species has sp² hybridisation at central atom?
Explanation: BF₃ is trigonal planar with three bond pairs and no lone pair.
51. Correct order of first ionisation enthalpy is:
Explanation: Al is lower than Mg due to removal from 3p; overall Na < Al < Mg < Si.
52. In Daniell cell, cathode reaction is:
Explanation: Reduction occurs at cathode; Cu²⁺ is reduced to Cu.
53. For first order k=0.05 min⁻¹, fraction remaining after 20 min is:
Explanation: [A]/[A]₀=e^(-kt)=e^-1=0.37
54. Which reagent converts aldehyde into primary alcohol?
Explanation: LiAlH₄ reduces aldehydes to primary alcohols.
55. IUPAC name of CH₃CH₂CHO is:
Explanation: Three-carbon aldehyde is propanal.
56. Oxidation state of Fe in [Fe(CN)₆]⁴⁻ is:
Explanation: x+6(-1)=-4, so x=+2.
57. Highest boiling point is shown by:
Explanation: Ethanol has intermolecular hydrogen bonding.
58. Moles in 11.2 g of iron (Fe=56) are:
Explanation: Moles=mass/molar mass=11.2/56=0.2 mol
59. Moles of solute in 500 mL of 0.2 M solution are:
Explanation: n=MV=0.2×0.5=0.1 mol
60. pH of a solution having [H⁺]=1×10⁻³ M is:
Explanation: pH=-log(10⁻³)=3
61. If z=3+4i, then |z| is:
Explanation: |z|=√(3²+4²)=5
62. Probability of sum 7 with two fair dice is:
Explanation: There are 6 favourable outcomes out of 36.
63. Value of 3 sin30° is:
Explanation: sin30°=1/2, so value=1.5
64. For x² - 5x + 6 = 0, discriminant is:
Explanation: D=b²-4ac=25-24=1
65. Coefficient of x³ in (1+x)⁷ is:
Explanation: C(7,3)=35
66. Sum of first 10 terms of AP with a=3, d=5 is:
Explanation: S=n/2[2a+(n-1)d]=10/2[6+45]=255
67. If f(x)=x³+2x+1, then f'(2) equals:
Explanation: f'(x)=3x²+2, so f'(2)=14
68. Evaluate ∫ from 1 to 4 of x² dx:
Explanation: [x³/3]₁⁴=(64-1)/3=21
69. Distance between (1,2) and (5,6) is:
Explanation: Distance=√(4²+4²)=√32=5.66
70. Magnitude of vector 2i+4j+4k is:
Explanation: √(4+16+16)=6
71. If A is 2×2 with determinant 5, determinant of 3A is:
Explanation: det(kA)=k²det(A)=9×5=45
72. Number of arrangements of letters of LEVEL is:
Explanation: 5!/(2!2!)=30
73. If z=3+4i, then |z| is:
Explanation: |z|=√(3²+4²)=5
74. Probability of sum 7 with two fair dice is:
Explanation: There are 6 favourable outcomes out of 36.
75. Value of 3 sin30° is:
Explanation: sin30°=1/2, so value=1.5
76. For x² - 5x + 6 = 0, discriminant is:
Explanation: D=b²-4ac=25-24=1
77. Coefficient of x³ in (1+x)⁷ is:
Explanation: C(7,3)=35
78. Sum of first 10 terms of AP with a=3, d=5 is:
Explanation: S=n/2[2a+(n-1)d]=10/2[6+45]=255
79. If f(x)=x³+2x+1, then f'(2) equals:
Explanation: f'(x)=3x²+2, so f'(2)=14
80. Evaluate ∫ from 1 to 4 of x² dx:
Explanation: [x³/3]₁⁴=(64-1)/3=21
81. Distance between (1,2) and (5,6) is:
Explanation: Distance=√(4²+4²)=√32=5.66
82. Magnitude of vector 2i+4j+4k is:
Explanation: √(4+16+16)=6
83. If A is 2×2 with determinant 5, determinant of 3A is:
Explanation: det(kA)=k²det(A)=9×5=45
84. Number of arrangements of letters of LEVEL is:
Explanation: 5!/(2!2!)=30
85. If z=3+4i, then |z| is:
Explanation: |z|=√(3²+4²)=5
86. Probability of sum 7 with two fair dice is:
Explanation: There are 6 favourable outcomes out of 36.
87. Value of 3 sin30° is:
Explanation: sin30°=1/2, so value=1.5
88. For x² - 5x + 6 = 0, discriminant is:
Explanation: D=b²-4ac=25-24=1
89. Coefficient of x³ in (1+x)⁷ is:
Explanation: C(7,3)=35
90. Sum of first 10 terms of AP with a=3, d=5 is:
Explanation: S=n/2[2a+(n-1)d]=10/2[6+45]=255