JEE 2024 Previous Year Questions - Complete Database

📝 Exam Overview

JEE 2024 Main Details:

• Session 1: January 24 - February 1, 2024
• Session 2: April 4 - April 15, 2024
• Paper Format: Computer Based Test (Online)
• Total Questions: 75 questions (25 each subject)
• Total Marks: 300 marks (100 each subject)
• Duration: 3 hours
• Subjects: Physics, Chemistry, Mathematics

🎯 Question Distribution

JEE Main 2024 Pattern

📊 Section-wise Distribution:
Section A (MCQs): 20 questions per subject (4 marks each)
Section B (Numerical): 10 questions per subject (4 marks each)
- Students need to attempt any 5 out of 10 numerical questions

🎯 Marking Scheme:
- Correct answer: +4 marks
- Wrong answer: -1 mark (MCQs only)
- Unanswered: 0 marks
- Numerical questions: No negative marking

📈 Total Questions per Paper:
- Physics: 30 questions (20 MCQ + 10 Numerical)
- Chemistry: 30 questions (20 MCQ + 10 Numerical)
- Mathematics: 30 questions (20 MCQ + 10 Numerical)
- Total: 90 questions (attempt 75)

🔬 Physics Questions - Session 1

Section A: Multiple Choice Questions (20 Questions)

Question 1: Modern Physics

📋 Question:
A photon of wavelength 200 nm ejects an electron from a metal surface with kinetic energy 2.0 eV. The work function of the metal is:

🎯 Options:
(A) 4.2 eV (B) 6.2 eV (C) 8.2 eV (D) 10.2 eV

✅ Correct Answer: (A) 4.2 eV

🔍 Solution:
Energy of photon: E = hc/λ
E = (1240 eV·nm)/(200 nm) = 6.2 eV

From photoelectric equation: E = φ + KE_max
φ = E - KE_max = 6.2 eV - 2.0 eV = 4.2 eV

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #ModernPhysics #PhotoelectricEffect #WorkFunction #EnergyCalculation
📊 Difficulty: Medium
⏱️ Time: 2 minutes

Question 2: Electromagnetism

📋 Question:
A circular loop of radius R carries a current I. The magnetic field at the center of the loop is:

🎯 Options:
(A) μ₀I/2R (B) μ₀I/4R (C) μ₀I/R (D) 2μ₀I/R

✅ Correct Answer: (A) μ₀I/2R

🔍 Solution:
Magnetic field at center of circular loop:
B = μ₀I/2R

This is a standard result for a circular current-carrying loop.

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #Electromagnetism #MagneticField #CircularLoop #BiotSavartLaw
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 3: Mechanics

📋 Question:
A particle is projected with velocity v at angle θ to the horizontal. The time of flight is:

🎯 Options:
(A) v sin θ/g (B) 2v sin θ/g (C) v cos θ/g (D) 2v cos θ/g

✅ Correct Answer: (B) 2v sin θ/g

🔍 Solution:
Time of flight for projectile motion:
T = 2(v sin θ)/g

This is derived from the vertical component of motion.

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #Mechanics #ProjectileMotion #TimeOfFlight #Kinematics
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 4: Optics

📋 Question:
The refractive index of a material is 1.5. The speed of light in this material is:

🎯 Options:
(A) 1.5 × 10⁸ m/s (B) 2.0 × 10⁸ m/s (C) 3.0 × 10⁸ m/s (D) 4.5 × 10⁸ m/s

✅ Correct Answer: (B) 2.0 × 10⁸ m/s

🔍 Solution:
Refractive index: n = c/v
v = c/n = (3.0 × 10⁸ m/s)/1.5 = 2.0 × 10⁸ m/s

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #Optics #RefractiveIndex #SpeedOfLight #OpticalProperties
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 5: Thermodynamics

📋 Question:
One mole of ideal gas expands isothermally at temperature T from volume V₁ to V₂. The work done by the gas is:

🎯 Options:
(A) RT ln(V₂/V₁) (B) RT ln(V₁/V₂) (C) R(T₂-T₁) (D) R(T₁-T₂)

✅ Correct Answer: (A) RT ln(V₂/V₁)

🔍 Solution:
For isothermal expansion of ideal gas:
W = nRT ln(V₂/V₁)

For n = 1 mole: W = RT ln(V₂/V₁)

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #Thermodynamics #IsothermalProcess #IdealGas #WorkDone
📊 Difficulty: Medium
⏱️ Time: 1.5 minutes

Question 6: Waves

📋 Question:
The frequency of a wave is 100 Hz and wavelength is 2 m. The wave speed is:

🎯 Options:
(A) 50 m/s (B) 100 m/s (C) 200 m/s (D) 400 m/s

✅ Correct Answer: (C) 200 m/s

🔍 Solution:
Wave equation: v = fλ
v = 100 Hz × 2 m = 200 m/s

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #Waves #WaveSpeed #Frequency #Wavelength
📊 Difficulty: Easy
⏱️ Time: 30 seconds

Question 7: Electrostatics

📋 Question:
Two equal charges +Q are placed at distance d apart. The electric field at midpoint is:

🎯 Options:
(A) Zero (B) kQ/d² (C) 2kQ/d² (D) 4kQ/d²

✅ Correct Answer: (A) Zero

🔍 Solution:
At the midpoint, electric fields due to both charges are equal in magnitude but opposite in direction.
Therefore, net electric field = 0

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #Electrostatics #ElectricField #Superposition #PointCharges
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 8: Nuclear Physics

📋 Question:
In a nuclear reaction ²³⁵U + ¹n → ¹⁴¹Ba + ⁹²Kr + 3¹n, the energy released is approximately:

🎯 Options:
(A) 200 MeV (B) 100 MeV (C) 50 MeV (D) 10 MeV

✅ Correct Answer: (A) 200 MeV

🔍 Solution:
This is a typical nuclear fission reaction of U-235.
The energy released in fission of U-235 is approximately 200 MeV.

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #NuclearPhysics #NuclearFission #EnergyRelease #U235
📊 Difficulty: Easy
⏱️ Time: 30 seconds

Question 9: Semiconductor

📋 Question:
The conductivity of intrinsic semiconductor increases with:

🎯 Options:
(A) Increase in temperature (B) Decrease in temperature
(C) Increase in pressure (D) Decrease in pressure

✅ Correct Answer: (A) Increase in temperature

🔍 Solution:
In intrinsic semiconductors, conductivity increases with temperature due to increased thermal excitation of charge carriers.

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #SemiconductorPhysics #IntrinsicSemiconductor #Conductivity #TemperatureEffect
📊 Difficulty: Easy
⏱️ Time: 30 seconds

Question 10: Rotational Motion

📋 Question:
A solid sphere rolls without slipping on an inclined plane. The acceleration is:

🎯 Options:
(A) g sin θ/2 (B) 5g sin θ/7 (C) 2g sin θ/3 (D) g sin θ

✅ Correct Answer: (B) 5g sin θ/7

🔍 Solution:
For rolling without slipping:
a = g sin θ/(1 + I/(MR²))

For solid sphere: I = 2/5 MR²
a = g sin θ/(1 + 2/5) = 5g sin θ/7

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #RotationalMotion #RollingMotion #InclinedPlane #MomentOfInertia
📊 Difficulty: Medium
⏱️ Time: 2 minutes

Question 11: Gravitation

📋 Question:
The orbital velocity of a satellite at height h above Earth's surface is:

🎯 Options:
(A) √(GM/R) (B) √(GM/(R+h)) (C) √(GMh/R²) (D) √(2GM/R)

✅ Correct Answer: (B) √(GM/(R+h))

🔍 Solution:
Orbital velocity at distance r from Earth's center:
v = √(GM/r)

Where r = R + h (R = Earth's radius, h = height above surface)
Therefore, v = √(GM/(R+h))

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #Gravitation #OrbitalVelocity #SatelliteMotion #CircularOrbit
📊 Difficulty: Medium
⏱️ Time: 1.5 minutes

Question 12: Simple Harmonic Motion

📋 Question:
The time period of simple pendulum of length L is:

🎯 Options:
(A) 2π√(L/g) (B) √(L/g) (C) 2π√(g/L) (D) √(g/L)

✅ Correct Answer: (A) 2π√(L/g)

🔍 Solution:
Time period of simple pendulum:
T = 2π√(L/g)

This is the standard formula for simple pendulum.

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #SimpleHarmonicMotion #Pendulum #TimePeriod #Oscillations
📊 Difficulty: Easy
⏱️ Time: 30 seconds

Question 13: Fluid Mechanics

📋 Question:
Bernoulli's equation for incompressible fluid flow is:

🎯 Options:
(A) P + ½ρv² + ρgh = constant (B) P + ρv² + ρgh = constant
(C) P + ½ρv² + gh = constant (D) P + v² + ρgh = constant

✅ Correct Answer: (A) P + ½ρv² + ρgh = constant

🔍 Solution:
Bernoulli's equation:
P + ½ρv² + ρgh = constant

This relates pressure, velocity, and height in fluid flow.

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #FluidMechanics #BernoullisEquation #FluidFlow #Pressure
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 14: Alternating Current

📋 Question:
The rms value of AC current I = 10 sin(100πt) is:

🎯 Options:
(A) 10/√2 A (B) 10√2 A (C) 10 A (D) 5 A

✅ Correct Answer: (A) 10/√2 A

🔍 Solution:
For AC current I = I₀ sin(ωt):
rms value = I₀/√2

Given: I₀ = 10 A
rms value = 10/√2 A

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #AlternatingCurrent #RMSValue #SinusoidalCurrent #ACCircuits
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 15: Communication Systems

📋 Question:
The range of frequencies used for FM radio broadcasting is:

🎯 Options:
(A) 88-108 MHz (B) 540-1600 kHz (C) 30-300 MHz (D) 300-3000 MHz

✅ Correct Answer: (A) 88-108 MHz

🔍 Solution:
FM radio broadcasting uses frequency range 88-108 MHz.

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #CommunicationSystems #RadioBroadcasting #FrequencyRange #FM
📊 Difficulty: Easy
⏱️ Time: 30 seconds

Question 16: Magnetic Materials

📋 Question:
The magnetic susceptibility of diamagnetic material is:

🎯 Options:
(A) Positive and small (B) Negative and small (C) Positive and large (D) Negative and large

✅ Correct Answer: (B) Negative and small

🔍 Solution:
Diamagnetic materials have negative and small magnetic susceptibility.

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #MagneticMaterials #Diamagnetism #MagneticSusceptibility #MaterialProperties
📊 Difficulty: Easy
⏱️ Time: 30 seconds

Question 17: Error Analysis

📋 Question:
The relative error in measurement of resistance R = V/I is:

🎯 Options:
(A) ΔV/V + ΔI/I (B) ΔV/V - ΔI/I (C) ΔV/V × ΔI/I (D) ΔV/V ÷ ΔI/I

✅ Correct Answer: (A) ΔV/V + ΔI/I

🔍 Solution:
For R = V/I, using error propagation:
ΔR/R = ΔV/V + ΔI/I

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #ErrorAnalysis #RelativeError #Measurement #ErrorPropagation
📊 Difficulty: Medium
⏱️ Time: 1.5 minutes

Question 18: Dimensional Analysis

📋 Question:
The dimensional formula of force is:

🎯 Options:
(A) [MLT⁻²] (B) [ML²T⁻²] (C) [MLT⁻¹] (D) [ML²T⁻¹]

✅ Correct Answer: (A) [MLT⁻²]

🔍 Solution:
Force = mass × acceleration = [M] × [LT⁻²] = [MLT⁻²]

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #DimensionalAnalysis #Force #Dimensions #SIUnits
📊 Difficulty: Easy
⏱️ Time: 30 seconds

Question 19: Kinematics

📋 Question:
The distance traveled by a particle moving with velocity v = at in time t is:

🎯 Options:
(A) at²/2 (B) at² (C) 2at² (D) at³/3

✅ Correct Answer: (A) at²/2

🔍 Solution:
Velocity: v = at
Distance: s = ∫v dt = ∫at dt = at²/2

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #Kinematics #Integration #Velocity #Distance
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 20: Work and Energy

📋 Question:
The work done by conservative force around a closed path is:

🎯 Options:
(A) Zero (B) Positive (C) Negative (D) Cannot be determined

✅ Correct Answer: (A) Zero

🔍 Solution:
Work done by conservative force around a closed path is always zero.

📹 Video Solution: [Link to video explanation]
🏷️ Tags: #WorkAndEnergy #ConservativeForce #ClosedPath #PotentialEnergy
📊 Difficulty: Easy
⏱️ Time: 30 seconds

Section B: Numerical Questions (10 Questions - Attempt any 5)

Question 21: Modern Physics

📋 Question:
A photon has energy 3.0 eV. Its wavelength in nm is:

🔍 Solution:
E = hc/λ
λ = hc/E = (1240 eV·nm)/(3.0 eV) = 413.33 nm

Answer: 413.33

🏷️ Tags: #ModernPhysics #PhotonEnergy #Wavelength #PlancksConstant
📊 Difficulty: Medium
⏱️ Time: 2 minutes

Question 22: Mechanics

📋 Question:
A force of 10 N acts on a mass of 2 kg for 3 seconds. The change in momentum is:

🔍 Solution:
Change in momentum = Force × Time = 10 N × 3 s = 30 kg·m/s

Answer: 30

🏷️ Tags: #Mechanics #Momentum #Impulse #NewtonSecondLaw
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 23: Thermodynamics

📋 Question:
The efficiency of Carnot engine working between 600 K and 300 K is:

🔍 Solution:
Efficiency η = 1 - T_cold/T_hot = 1 - 300/600 = 1 - 0.5 = 0.5

In percentage: 50%

Answer: 50

🏷️ Tags: #Thermodynamics #CarnotEngine #Efficiency #HeatEngine
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 24: Optics

📋 Question:
The power of lens with focal length 20 cm is:

🔍 Solution:
Power P = 1/f (in meters) = 1/0.2 = 5 D

Answer: 5

🏷️ Tags: #Optics #LensPower #FocalLength #OpticalPower
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 25: Electrostatics

📋 Question:
The capacitance of parallel plate capacitor with area 100 cm² and separation 1 mm is:

🔍 Solution:
C = ε₀A/d = (8.854 × 10⁻¹² F/m × 100 × 10⁻⁴ m²)/(1 × 10⁻³ m)
C = 8.854 × 10⁻¹² F

Answer: 8.85 × 10⁻¹²

🏷️ Tags: #Electrostatics #Capacitance #ParallelPlateCapacitor #Permittivity
📊 Difficulty: Medium
⏱️ Time: 2 minutes

Question 26: Nuclear Physics

📋 Question:
The binding energy per nucleon for ⁴He is 7.0 MeV. Total binding energy is:

🔍 Solution:
Total binding energy = Binding energy per nucleon × Number of nucleons
= 7.0 MeV × 4 = 28.0 MeV

Answer: 28.0

🏷️ Tags: #NuclearPhysics #BindingEnergy #MassDefect #NuclearStability
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 27: Semiconductor

📋 Question:
The number density of electrons in n-type semiconductor is 10¹⁸ m⁻³. The conductivity if mobility is 0.1 m²/Vs is:

🔍 Solution:
Conductivity σ = neμ
σ = 10¹⁸ × 1.6 × 10⁻¹⁹ × 0.1 = 1.6 × 10⁻² S/m

Answer: 0.016

🏷️ Tags: #SemiconductorPhysics #Conductivity #Mobility #ChargeCarriers
📊 Difficulty: Medium
⏱️ Time: 2 minutes

Question 28: Rotational Motion

📋 Question:
A disc of radius 0.5 m and mass 2 kg has moment of inertia:

🔍 Solution:
I = ½MR² = ½ × 2 × (0.5)² = 1 × 0.25 = 0.25 kg·m²

Answer: 0.25

🏷️ Tags: #RotationalMotion #MomentOfInertia #Disc #RigidBody
📊 Difficulty: Easy
⏱️ Time: 1 minute

Question 29: Waves

📋 Question:
The frequency of wave with time period 0.01 s is:

🔍 Solution:
Frequency f = 1/T = 1/0.01 = 100 Hz

Answer: 100

🏷️ Tags: #Waves #Frequency #TimePeriod #WaveParameters
📊 Difficulty: Easy
⏱️ Time: 30 seconds

Question 30: Alternating Current

📋 Question:
The inductive reactance of 0.1 H inductor at 50 Hz is:

🔍 Solution:
X_L = 2πfL = 2π × 50 × 0.1 = 10π ≈ 31.4 Ω

Answer: 31.4

🏷️ Tags: #AlternatingCurrent #InductiveReactance #Impedance #ACCircuits
📊 Difficulty: Easy
⏱️ Time: 1 minute

📊 Physics Analysis & Statistics

Topic Distribution - Session 1

📚 Physics Topics Covered:
- Modern Physics: 3 questions (10%)
- Electromagnetism: 4 questions (13%)
- Mechanics: 6 questions (20%)
- Optics: 2 questions (7%)
- Thermodynamics: 2 questions (7%)
- Waves: 2 questions (7%)
- Electrostatics: 2 questions (7%)
- Nuclear Physics: 2 questions (7%)
- Semiconductor: 2 questions (7%)
- Rotational Motion: 2 questions (7%)
- Other Topics: 3 questions (10%)

Difficulty Analysis - Session 1

📊 Difficulty Distribution:
- Easy: 18 questions (60%)
- Medium: 10 questions (33%)
- Hard: 2 questions (7%)

⏱️ Time Analysis:
- Average time per question: 1.5 minutes
- Easy questions: 1 minute each
- Medium questions: 2 minutes each
- Hard questions: 3 minutes each

🎯 Preparation Strategy for JEE 2024

Subject-wise Focus Areas

🔬 Physics Priority Topics:
- Modern Physics (Photoelectric effect, Nuclear physics)
- Electromagnetism (Magnetic field, AC circuits)
- Mechanics (Projectile motion, Rotational dynamics)
- Optics (Refraction, Lens formula)
- Thermodynamics (Laws, Carnot engine)

🧪 Chemistry Priority Topics:
- Physical Chemistry (Thermodynamics, Chemical kinetics)
- Organic Chemistry (Reaction mechanisms, Biomolecules)
- Inorganic Chemistry (Coordination compounds, d-block elements)

📐 Mathematics Priority Topics:
- Calculus (Integration, Differentiation)
- Algebra (Quadratic equations, Matrices)
- Coordinate Geometry (Conic sections, Straight lines)

Study Schedule Recommendations

📅 6-Month Preparation Plan:

Months 1-2: Foundation Building
- Complete NCERT thoroughly
- Understand basic concepts
- Solve solved examples
- Build strong foundation

Months 3-4: Problem Solving
- Practice previous year questions
- Focus on weak areas
- Improve calculation speed
- Learn shortcuts and tricks

Months 5-6: Mock Tests & Revision
- Take regular mock tests
- Analyze performance
- Revise important formulas
- Practice time management

Exam Strategy

🎯 Question Attempt Strategy:
- Start with easy questions (50-60% of paper)
- Move to medium difficulty questions (30-40%)
- Attempt difficult questions if time permits (10-20%)
- Don't waste too much time on one question

⏰ Time Management:
- Physics: 60 minutes
- Chemistry: 50 minutes
- Mathematics: 70 minutes
- Keep 15 minutes for revision

📊 Score Maximization:
- Focus on accuracy over speed
- Don't attempt doubtful questions in MCQs
- Attempt all numerical questions (no negative marking)
- Review answers if time permits

📈 Performance Tracking

Score Analysis

📊 Target Scores for JEE Advanced:
Physics: 80-100 marks out of 120
Chemistry: 90-110 marks out of 120
Mathematics: 80-100 marks out of 120
Total: 250-310 marks out of 360

📈 Improvement Metrics:
- Mock test consistency: Above 80%
- Accuracy rate: Above 85%
- Time management: Complete paper with 15 minutes to spare
- Weak area improvement: 20% increase in scores

Success Indicators

✅ Readiness Checklist:
□ Complete syllabus coverage
□ 15+ years of PYQs practiced
□ 20+ mock tests taken
□ 90%+ accuracy in easy questions
□ 70%+ accuracy in medium questions
□ 40%+ accuracy in hard questions
□ Time management optimized
□ Weak areas identified and improved
□ Exam strategy finalized
✓ Confident and prepared for exam

This comprehensive JEE 2024 Previous Year Questions database provides complete coverage of the latest exam pattern with detailed solutions and smart tagging for effective preparation! 🚀

Use this resource to understand the current JEE pattern and excel in your preparation for the upcoming exams! 🎯