JEE Main Full Syllabus Mock Test 1 - Complete Assessment

=� Test Information

• Test Type: Full Syllabus Mock Test
• Subjects: Physics, Chemistry, Mathematics
• Total Questions: 75 Questions
• Total Marks: 300 Marks
• Duration: 3 Hours (180 Minutes)
• Pattern: JEE Main 2024 Pattern

Subject-wise Distribution

=� Subject Breakdown:
Physics: 25 questions (100 marks)
Chemistry: 25 questions (100 marks)
Mathematics: 25 questions (100 marks)

<� Question Pattern:
Section A: 20 MCQs per subject (4 marks each, -1 negative)
Section B: 5 Numerical questions per subject (4 marks each, no negative)

=� Test Instructions

Important Guidelines

1. Section A (MCQs): Choose one correct answer from four options
2. Section B (Numerical): Enter numerical value (no choices provided)
3. Marking Scheme: +4 for correct, -1 for wrong in Section A, no negative in Section B
4. Time Management: 60 minutes per subject suggested
5. Rough Work: Use provided sheets for calculations

Test Strategy

• Attempt Section A first (familiar pattern)
• Move to Section B if confident
• Don’t spend too much time on difficult questions
• Review answers if time permits

>� Section A: Multiple Choice Questions (60 � 4 = 240 Marks)

Physics (20 Questions)

Question 1-20

1. Electromagnetism: A conducting loop of radius R is placed in a uniform magnetic field B. The magnetic flux through the loop is maximum when the angle between the field and area vector is: (A) 0� (B) 30� (C) 45� (D) 90�

2. Modern Physics: The work function of a metal is 2.0 eV. Light of wavelength 400 nm is incident on it. The kinetic energy of emitted photoelectrons is: (A) 1.1 eV (B) 2.0 eV (C) 3.1 eV (D) 4.2 eV

3. Mechanics: A ball is dropped from height h and bounces to height h/2. The coefficient of restitution is: (A) 1/2 (B) 1/2 (C) (1/2) (D) 2

4. Thermodynamics: One mole of an ideal gas expands isothermally at temperature T from volume V� to V�. The work done is: (A) RT ln(V�/V�) (B) RT ln(V�/V�) (C) P(V�-V�) (D) P�V� - P�V�

5. Optics: The focal length of a convex lens is 20 cm. An object is placed 30 cm from it. The image distance is: (A) 12 cm (B) 15 cm (C) 30 cm (D) 60 cm

6. Electrostatics: Two identical charges +q are placed at distance d apart. The force between them is F. If the distance is doubled, the force becomes: (A) F/2 (B) F/4 (C) 2F (D) 4F

7. Current Electricity: A wire of resistance R is stretched to double its length. The new resistance is: (A) R/2 (B) R (C) 2R (D) 4R

8. Kinematics: A particle moves with velocity v = ti + 2t�j. The acceleration at t = 1s is: (A) i + 4j (B) i + 2j (C) 2i + j (D) 4i + j

9. Nuclear Physics: The binding energy per nucleon is maximum for: (A) H� (B) Het (C) Feuv (D) U��u

10. Semiconductors: The conductivity of pure silicon at room temperature is due to: (A) Electrons (B) Holes (C) Both electrons and holes (D) Neither

11. Gravitation: Escape velocity from Earth’s surface is approximately: (A) 5 km/s (B) 11 km/s (C) 20 km/s (D) 30 km/s

12. Wave Motion: The equation of a wave is y = 0.02 sin(3x - 4t). The wave speed is: (A) 3/4 m/s (B) 4/3 m/s (C) 12 m/s (D) 1.33 m/s

13. Rotational Motion: A solid sphere of mass m and radius R rolls without slipping on an inclined plane. The acceleration is: (A) g sin � (B) 3g sin �/5 (C) 5g sin �/7 (D) 7g sin �/5

14. Alternating Current: In a pure inductive AC circuit, the current: (A) Leads the voltage by 90� (B) Lags the voltage by 90� (C) Is in phase with voltage (D) Leads by 45�

15. Photoelectric Effect: When light of frequency �� is incident on a metal, photoelectrons are emitted. The threshold frequency is: (A) ��/2 (B) �� (C) 2�� (D) 4��

16. Heat Transfer: The rate of heat conduction through a rod is proportional to: (A) Length (B) Cross-sectional area (C) Temperature difference (D) All of these

17. Simple Harmonic Motion: The time period of a simple pendulum of length L is T. If the length is doubled, the new time period is: (A) T/2 (B) T2 (C) 2T (D) 4T

18. Fluid Mechanics: A block of wood floats in water with 1/3 of its volume above water. The density of wood is: (A) 1/3 g/cm� (B) 2/3 g/cm� (C) 3/4 g/cm� (D) 1/2 g/cm�

19. Electromagnetic Induction: A coil of area A and N turns rotates with angular velocity � in a magnetic field B. The maximum emf induced is: (A) NAB� (B) NAB�sin�t (C) NAB�cos�t (D) AB�

20. Error Analysis: The resistance R = V/I is calculated from measurements V = 100 � 1V and I = 10 � 0.1A. The percentage error in R is: (A) 1% (B) 2% (C) 5% (D) 10%

Chemistry (20 Questions)

21. Organic Chemistry: The IUPAC name of CH�-CH(Cl)-CH� is: (A) 1-Chloropropane (B) 2-Chloropropane (C) 1,1-Dichloropropane (D) 2,2-Dichloropropane

22. Physical Chemistry: The pH of 0.01 M HCl solution is: (A) 1 (B) 2 (C) 3 (D) 4

23. Inorganic Chemistry: Which element shows maximum oxidation state? (A) Mn (B) Fe (C) Cu (D) Zn

24. Thermodynamics: �H for a reaction is negative. The reaction is: (A) Endothermic (B) Exothermic (C) Isothermal (D) Adiabatic

25. Chemical Bonding: The bond angle in H�O molecule is approximately: (A) 104.5� (B) 107� (C) 109.5� (D) 120�

26. Electrochemistry: The standard electrode potential of Zn�+/Zn is -0.76 V. When Zn is connected to SHE, the cell potential is: (A) -0.76 V (B) +0.76 V (C) 0.00 V (D) +1.36 V

27. Solutions: The mole fraction of solute in a solution is 0.1. The molality is (assuming solution density = 1 g/mL): (A) 0.1 m (B) 0.2 m (C) 5.5 m (D) 10 m

28. Coordination Compounds: The coordination number of [Co(NH�)�]Cl� is: (A) 3 (B) 6 (C) 9 (D) 12

29. Hydrocarbons: Which compound undergoes addition reaction with H�? (A) C�H� (B) C�H� (C) C�H� (D) Both (B) and (C)

30. Atomic Structure: The ionization energy of hydrogen atom in ground state is: (A) 13.6 eV (B) 10.2 eV (C) 3.4 eV (D) 1.5 eV

31. Chemical Kinetics: The rate law for a reaction is rate = k[A]�[B]. The overall order is: (A) 0 (B) 1 (C) 2 (D) 3

32. Periodic Properties: Which has the highest electronegativity? (A) F (B) Cl (B) Br (D) I

33. Alcohols: The oxidation product of primary alcohol is: (A) Aldehyde (B) Ketone (C) Carboxylic acid (D) Ether

34. Environmental Chemistry: The gas responsible for ozone depletion is: (A) CO� (B) SO� (C) NO� (D) CFC

35. Biomolecules: The structural unit of DNA is: (A) Nucleotide (B) Amino acid (C) Monosaccharide (D) Fatty acid

36. Acid-Base: The pH of 0.001 M NaOH solution is: (A) 3 (B) 7 (C) 10 (D) 11

37. Isomerism: C�H�� has how many structural isomers? (A) 2 (B) 3 (C) 4 (D) 5

38. Metallurgy: Which metal is extracted by electrolysis? (A) Fe (B) Cu (C) Al (D) Zn

39. Polymers: Bakelite is a polymer of: (A) Ethene (B) Phenol and formaldehyde (C) Vinyl chloride (D) Isoprene

40. Qualitative Analysis: Which ion gives white precipitate with AgNO�? (A) Cl{ (B) SO��{ (C) CO��{ (D) All of these

Mathematics (20 Questions)

41. Algebra: If (1 + x) = C� + C�x + C�x� + … + C�x, then C� + C� + C� + … + C� equals: (A) 2 (B) 3 (C) n (D) 1

42. Calculus: The derivative of sin(x�) with respect to x is: (A) 2x cos(x�) (B) 2x cos(x) (C) cos(x�) (D) cos(x)

43. Coordinate Geometry: The distance between (1,2) and (4,6) is: (A) 3 (B) 4 (C) 5 (D) 7

44. Trigonometry: sin(�/6) + cos(�/3) equals: (A) 1 (B) 2 (C) 3/2 (D) 1/2

45. Vectors: The angle between vectors a = i + j and b = i - j is: (A) 0� (B) 45� (C) 60� (D) 90�

46. Probability: A die is thrown once. The probability of getting a prime number is: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3

47. Sequences: The nth term of AP: 2, 5, 8, 11, … is: (A) 3n - 1 (B) 3n + 1 (C) 3n (D) 2n + 1

48. Matrices: If A = [[1,2],[3,4]] and B = [[2,1],[4,3]], then AB equals: (A) [[2,4],[6,12]] (B) [[3,5],[7,13]] (C) [[10,7],[22,15]] (D) [[10,15],[22,7]]

49. Logarithms: log�(16) equals: (A) 2 (B) 3 (C) 4 (D) 8

50. Integration: +x� dx equals: (A) x�/3 + C (B) x� + C (C) 2x + C (D) x� + C

51. Differential Equations: The solution of dy/dx = x/y is: (A) y� = x� + C (B) y� = 2x� + C (C) y = x� + C (D) y = x + C

52. Statistics: The mean of numbers 2, 4, 6, 8, 10 is: (A) 4 (B) 5 (C) 6 (D) 7

53. Complex Numbers: The modulus of z = 3 + 4i is: (A) 3 (B) 4 (C) 5 (D) 7

54. Permutation: 4 letters can be arranged in: (A) 12 ways (B) 16 ways (C) 24 ways (D) 36 ways

55. 3D Geometry: The distance of point (1,2,3) from xy-plane is: (A) 1 (B) 2 (C) 3 (D) 14

56. Functions: The domain of f(x) = (4 - x�) is: (A) [-2,2] (B) (-2,2) (C) [0,2] (D) R

57. Inequalities: The solution of |x - 1| < 2 is: (A) (-1,3) (B) [-1,3] (C) (-3,1) (D) [-3,1]

58. Set Theory: If A = {1,2,3} and B = {2,3,4}, then A * B =: (A) {2,3} (B) {1,2,3,4} (C) {1,4} (D) {1,2,3,4,2,3}

59. Binomial Theorem: The coefficient of x� in (1 + x)u is: (A) 5 (B) 10 (C) 15 (D) 20

60. Relations: If R = {(1,1), (2,2), (3,3)}, then R is: (A) Reflexive only (B) Symmetric only (C) Transitive only (D) Equivalence relation

=" Section B: Numerical Questions (15 � 4 = 60 Marks)

Physics (5 Questions)

61. A body of mass 2 kg moves with velocity 3 m/s. Its kinetic energy is: [Answer in Joules]

62. The wavelength of light with frequency 6 � 10�t Hz is: [Answer in nm, h = 6.6 � 10{�t J�s, c = 3 � 10x m/s]

63. A resistance of 10 � carries current of 2 A. The power dissipated is: [Answer in Watts]

64. The period of a simple pendulum of length 1 m is: [Answer in seconds, g = 10 m/s�]

65. The capacitance of a parallel plate capacitor with area 100 cm�, separation 1 mm, and dielectric constant 4 is: [Answer in �F, �� = 8.85 � 10{�� F/m]

Chemistry (5 Questions)

66. The molarity of a solution containing 5.85 g NaCl in 500 mL solution is: [Answer in M, NaCl molar mass = 58.5 g/mol]

67. The pH of 0.001 M H�SO� solution is: [Answer in pH units]

68. The number of � bonds in CH�-CH=CH-CH� is: [Answer as integer]

69. The osmotic pressure of 0.1 M glucose solution at 300K is: [Answer in atm, R = 0.0821 L�atm/(mol�K)]

70. The number of unpaired electrons in Cr�z (Cr = [Ar]3du4s�) is: [Answer as integer]

Mathematics (5 Questions)

71. The value of sin�(�/4) + cos�(�/4) is: [Answer as integer]

72. The area of a circle with radius 7 cm is: [Answer in cm�, � = 22/7]

73. The solution of 2x + 3 = 11 is: [Answer as integer]

74. The sum of first 10 natural numbers is: [Answer as integer]

75. If tan � = 3/4, then sin � is: [Answer as decimal to 2 places]

=� Detailed Answer Key

Physics Section A

1. (A) 0�
2. (A) 1.1 eV
3. (B) 1/2
4. (A) RT ln(V�/V�)
5. (D) 60 cm
6. (B) F/4
7. (D) 4R
8. (A) i + 4j
9. (C) Feuv
10. (C) Both electrons and holes
11. (B) 11 km/s
12. (B) 4/3 m/s
13. (C) 5g sin �/7
14. (B) Lags the voltage by 90�
15. (B) ��
16. (D) All of these
17. (B) T2
18. (B) 2/3 g/cm�
19. (A) NAB�
20. (B) 2%

Chemistry Section A

21. (B) 2-Chloropropane
22. (B) 2
23. (A) Mn
24. (B) Exothermic
25. (A) 104.5�
26. (B) +0.76 V
27. (C) 5.5 m
28. (B) 6
29. (D) Both (B) and (C)
30. (A) 13.6 eV
31. (D) 3
32. (A) F
33. (C) Carboxylic acid
34. (D) CFC
35. (A) Nucleotide
36. (D) 11
37. (D) 5
38. (C) Al
39. (B) Phenol and formaldehyde
40. (D) All of these

Mathematics Section A

41. (A) 2
42. (A) 2x cos(x�)
43. (C) 5
44. (A) 1
45. (D) 90�
46. (C) 1/2
47. (A) 3n - 1
48. (C) [[10,7],[22,15]]
49. (C) 4
50. (A) x�/3 + C
51. (A) y� = x� + C
52. (C) 6
53. (C) 5
54. (C) 24 ways
55. (C) 3
56. (A) [-2,2]
57. (A) (-1,3)
58. (B) {1,2,3,4}
59. (B) 10
60. (D) Equivalence relation

Section B Answers

61. 9 J
62. 550 nm
63. 40 W
64. 2 s
65. 3.54 �F
66. 0.2 M
67. 2.7
68. 10
69. 2.46 atm
70. 3
71. 1
72. 154 cm�
73. 4
74. 55
75. 0.60

=� Performance Analysis

Section-wise Difficulty Distribution

Physics

• Easy: Questions 2, 4, 6, 10, 11, 14, 15, 18, 61-65
• Medium: Questions 1, 3, 5, 7, 8, 9, 12, 13, 16, 17, 19, 20
• Hard: None

Chemistry

• Easy: Questions 22, 25, 26, 32, 35, 36, 40
• Medium: Questions 21, 23, 24, 27, 28, 29, 30, 31, 33, 34, 37-39, 41, 42
• Hard: None

Mathematics

• Easy: Questions 43, 47, 49, 50, 51, 52, 53, 54, 57, 58, 59, 71-75
• Medium: Questions 41, 42, 45, 46, 55, 56, 60
• Hard: None

Expected Score Ranges

• 180-240 marks: Excellent (Top 5%)
• 140-179 marks: Good (Top 15%)
• 100-139 marks: Average (Average performance)
• Below 100 marks: Needs improvement

Topic-wise Performance Tracking

<� Strategic Insights

Subject-wise Preparation Focus

Physics Priority Areas

1. Modern Physics (Photoelectric effect, nuclear physics)
2. Mechanics (Newton’s laws, rotational motion)
3. Electromagnetism (Electrostatics, circuits)
4. Thermodynamics (Heat and work)

Chemistry Priority Areas

1. Organic Chemistry (Basic principles, reactions)
2. Physical Chemistry (Thermodynamics, kinetics)
3. Inorganic Chemistry (Periodic trends, compounds)

Mathematics Priority Areas

1. Algebra (Matrices, complex numbers)
2. Calculus (Derivatives, integrals)
3. Coordinate Geometry (Lines, circles)
4. Probability (Basic concepts)

Time Management Strategy

• First 30 minutes: Easy questions across all subjects
• Next 90 minutes: Medium questions, focus on strong areas
• Last 60 minutes: Difficult questions, review and revision

=� Improvement Recommendations

Score 180-240 (Excellent)

• Focus on JEE Advanced level problems
• Practice time-bound tests
• Work on speed and accuracy
• Join advanced problem-solving sessions

Score 140-179 (Good)

• Identify and strengthen weak areas
• Practice medium-level problems
• Improve time management
• Focus on concept clarity

Score 100-139 (Average)

• Strengthen basic concepts
• Practice regularly with NCERT
• Take more mock tests
• Seek doubt clearing

Score Below 100 (Needs Improvement)

• Focus on NCERT fundamentals
• Start with easy problems
• Build confidence gradually
• Consider foundation courses

=� Study Resources

For Improvement

1. Video Lectures: SATHEE Video Lectures
2. NCERT Solutions: Complete NCERT Solutions
3. Practice Problems: Chapter-wise Problems
4. Previous Year Questions: PYQ Archive

For Advanced Practice

1. JEE Advanced Material: Advanced level problems
2. Test Series: Regular mock tests
3. Doubt Clearing: Live Sessions
4. Performance Analytics: Detailed analysis reports

 Next Steps

1. Analyze Your Performance: Identify strong and weak areas
2. Create Study Plan: Focus on improvement areas
3. Regular Practice: Take weekly mock tests
4. Track Progress: Monitor improvement over time

This comprehensive mock test provides real JEE Main experience with detailed analysis for targeted improvement! <�

Remember: Consistency and strategic preparation are keys to success in JEE Main. Use this mock test as a diagnostic tool to identify areas for improvement!

For additional practice and guidance, explore our Test Series and connect with our expert faculty!