JEE Physics Mechanics Chapter-wise Previous Year Questions (2009-2024)

=’ Overview

This comprehensive compilation covers all Mechanics chapters from Class 11 and 12 Physics with 15 years of JEE Previous Year Questions (2009-2024). Each chapter is organized systematically with detailed analysis, difficulty classification, and strategic preparation guidance.

=� Class 11 Mechanics Chapters

Chapter 1: Physical World and Units & Measurements

Chapter Analysis

=� Chapter Weightage: 2-3%
Total Questions (2009-2024): 65+
Average Questions per Year: 4-5
Difficulty Level: Easy to Medium

Question Distribution:
- Unit Systems and Conversions: 40%
- Dimensions and Dimensional Analysis: 35%
- Significant Figures and Errors: 15%
- Precision and Accuracy: 10%

Year-wise Question Distribution

=� Question Analysis by Year:

2009-2012 (IIT-JEE Era):
- Total Questions: 20
- Average Difficulty: Medium
- Focus: Classical unit systems
- Pattern: Traditional approach

2013-2016 (JEE Advanced Transition):
- Total Questions: 16
- Average Difficulty: Easy-Medium
- Focus: SI system emphasis
- Pattern: Modern approach

2017-2020 (Stabilization):
- Total Questions: 14
- Average Difficulty: Easy
- Focus: Practical applications
- Pattern: Concept-based

2021-2024 (Digital Era):
- Total Questions: 15
- Average Difficulty: Easy-Medium
- Focus: Error analysis
- Pattern: Application-oriented

Key Question Types

<� Frequently Asked Question Patterns:

1. Unit Conversion Problems:
   - Conversion between different unit systems
   - SI vs CGS unit conversions
   - Complex unit conversions
   - Example: Convert energy from cal to joule

2. Dimensional Analysis:
   - Finding dimensions of physical quantities
   - Checking dimensional consistency
   - Deriving relationships using dimensions
   - Example: Find dimensions of viscosity

3. Significant Figures:
   - Determining significant figures
   - Operations with significant figures
   - Rounding off rules
   - Example: Calculate with proper significant figures

4. Error Analysis:
   - Absolute and relative errors
   - Propagation of errors
   - Percentage error calculations
   - Example: Error in density measurement

Sample Questions with Solutions

=� Representative Questions:

Example 1 (Unit Conversion, 2019):
Q: The density of a material is 2.7 g/cm�. Express this in kg/m�.
Solution: 2.7 g/cm� = 2.7 � 1000 kg/m� = 2700 kg/m�

Example 2 (Dimensional Analysis, 2021):
Q: Find the dimensions of coefficient of viscosity.
Solution: [�] = [Force � Distance] / [Area � Velocity] = [MLT{�][L] / [L�][LT{�] = [ML{�T{�]

Example 3 (Significant Figures, 2022):
Q: Add 4.36, 2.1, and 0.052 with proper significant figures.
Solution: 4.36 + 2.1 + 0.052 = 6.512 H 6.5 (2 significant figures)

Chapter 2: Motion in a Straight Line

Chapter Analysis

=� Chapter Weightage: 5-6%
Total Questions (2009-2024): 78+
Average Questions per Year: 5-6
Difficulty Level: Easy to Hard

Question Distribution:
- Basic Kinematics: 25%
- Equations of Motion: 30%
- Graphical Analysis: 25%
- Relative Motion: 20%

Key Question Types

<� Frequently Asked Question Patterns:

1. Equations of Motion Applications:
   - Problem-solving using s = ut + �at�
   - Velocity-time relations
   - Free fall problems
   - Example: Stone dropped from height

2. Graphical Analysis:
   - x-t, v-t, a-t graphs
   - Area under curves
   - Slope interpretation
   - Example: Find displacement from v-t graph

3. Relative Motion:
   - One-dimensional relative motion
   - Reference frame problems
   - Meeting point calculations
   - Example: Two cars moving towards each other

4. Complex Kinematics:
   - Multi-stage motion
   - Variable acceleration
   - Non-uniform motion
   - Example: Particle with changing acceleration

Sample Questions with Solutions

=� Representative Questions:

Example 1 (Equations of Motion, 2020):
Q: A ball is thrown upward with velocity 20 m/s. Find maximum height.
Solution: Using v� = u� + 2as
0 = (20)� + 2(-10)h
h = 400/20 = 20 m

Example 2 (Graphical Analysis, 2021):
Q: Velocity-time graph shows v = 3t + 2. Find displacement in 4 seconds.
Solution: Displacement = +v dt = +(3t + 2)dt = 1.5t� + 2t
At t = 4: s = 1.5(16) + 2(4) = 24 + 8 = 32 m

Example 3 (Relative Motion, 2022):
Q: Two trains 120m and 150m long move in opposite directions at 60km/h and 40km/h. Find time to completely pass each other.
Solution: Relative speed = 60 + 40 = 100km/h = 100/36 m/s
Total distance = 120 + 150 = 270m
Time = 270/(100/36) = 270 � 36/100 = 97.2 s

Chapter 3: Motion in a Plane

Chapter Analysis

=� Chapter Weightage: 6-7%
Total Questions (2009-2024): 82+
Average Questions per Year: 5-6
Difficulty Level: Medium to Hard

Question Distribution:
- Vector Algebra: 20%
- Projectile Motion: 40%
- Relative Motion in 2D: 25%
- Circular Motion: 15%

Key Question Types

<� Frequently Asked Question Patterns:

1. Projectile Motion:
   - Horizontal projection
   - Oblique projection
   - Maximum height and range
   - Time of flight calculations
   - Example: Projectile from cliff

2. Vector Operations:
   - Vector addition and subtraction
   - Dot and cross products
   - Resolution of vectors
   - Example: Find angle between vectors

3. Relative Motion in 2D:
   - Rain problems
   - River boat problems
   - Wind affected motion
   - Example: Boat crossing river

4. Circular Motion:
   - Uniform circular motion
   - Centripetal acceleration
   - Angular quantities
   - Example: Stone tied to string

Sample Questions with Solutions

=� Representative Questions:

Example 1 (Projectile Motion, 2021):
Q: A projectile is launched at 30� with speed 20 m/s. Find horizontal range.
Solution: R = u�sin(2�)/g = (20)�sin(60�)/10 = 400 � 0.866/10 = 34.64 m

Example 2 (Relative Motion, 2022):
Q: A person walks at 3 km/h in rain falling vertically at 4 km/h. Find angle at which umbrella should be held.
Solution: tan� = 4/3, � = tan{�(4/3) = 53.13� with vertical

Example 3 (Vector Addition, 2023):
Q: Find resultant of vectors A = 3i + 4j and B = 2i - j.
Solution: R = A + B = (3+2)i + (4-1)j = 5i + 3j
|R| = (5� + 3�) = 34 units

Chapter 4: Laws of Motion

Chapter Analysis

=� Chapter Weightage: 8-9%
Total Questions (2009-2024): 85+
Average Questions per Year: 6-7
Difficulty Level: Medium to Hard

Question Distribution:
- Newton's Laws: 25%
- Force Analysis: 35%
- Friction: 25%
- Connected Bodies: 15%

Key Question Types

<� Frequently Asked Question Patterns:

1. Force Analysis:
   - Free body diagrams
   - Net force calculations
   - Equilibrium conditions
   - Example: Block on inclined plane

2. Friction Problems:
   - Static and kinetic friction
   - Angle of friction
   - Friction on inclined planes
   - Example: Block sliding down slope

3. Connected Bodies:
   - Atwood's machine
   - Pulley systems
   - Constrained motion
   - Example: Two blocks connected by string

4. Non-inertial Frames:
   - Pseudo forces
   - Accelerating reference frames
   - Elevator problems
   - Example: Person in accelerating lift

Sample Questions with Solutions

=� Representative Questions:

Example 1 (Force Analysis, 2021):
Q: A 10 kg block rests on a horizontal surface with �s = 0.4. Find minimum force to start motion.
Solution: Fmin = �s � N = 0.4 � 10 � 10 = 40 N

Example 2 (Connected Bodies, 2022):
Q: Two masses 5kg and 3kg connected by string pass over pulley. Find acceleration.
Solution: For 5kg: 5g - T = 5a
For 3kg: T - 3g = 3a
Adding: 2g = 8a, a = g/4 = 2.5 m/s�

Example 3 (Friction, 2023):
Q: Block of mass 2kg on 30� incline with �k = 0.2. Find acceleration.
Solution: Net force = mgsin� - �kmgcos� = 2�10�0.5 - 0.2�2�10�0.866 = 10 - 3.464 = 6.536 N
a = F/m = 6.536/2 = 3.268 m/s�

Chapter 5: Work, Energy and Power

Chapter Analysis

=� Chapter Weightage: 7-8%
Total Questions (2009-2024): 88+
Average Questions per Year: 6-7
Difficulty Level: Medium to Hard

Question Distribution:
- Work-Energy Theorem: 30%
- Power: 20%
- Energy Conservation: 35%
- Collisions: 15%

Key Question Types

<� Frequently Asked Question Patterns:

1. Work-Energy Theorem:
   - Work done by forces
   - Kinetic energy changes
   - Potential energy problems
   - Example: Block sliding down rough incline

2. Power Calculations:
   - Instantaneous power
   - Average power
   - Efficiency problems
   - Example: Engine power calculation

3. Energy Conservation:
   - Mechanical energy conservation
   - Energy transformations
   - Non-conservative forces
   - Example: Pendulum motion

4. Collision Problems:
   - Elastic collisions
   - Inelastic collisions
   - Conservation of momentum
   - Example: Two carts collision

Sample Questions with Solutions

=� Representative Questions:

Example 1 (Work-Energy, 2021):
Q: A 2kg block moves 5m under force F = 3i + 4j N. Find work done.
Solution: W = F.d = (3i + 4j).(5i) = 3�5 + 4�0 = 15 J

Example 2 (Energy Conservation, 2022):
Q: A pendulum of length 2m has 5kg bob released from 60�. Find speed at lowest point.
Solution: Using energy conservation: mgh = �mv�
h = 2(1-cos60�) = 2(1-0.5) = 1m
5�10�1 = ��5�v�, v� = 20, v = 4.47 m/s

Example 3 (Power, 2023):
Q: A car of mass 1000kg accelerates from 0 to 20m/s in 10s. Find average power.
Solution: Work done = �KE = ��1000�20� - 0 = 200000 J
Power = Work/Time = 200000/10 = 20000 W = 20 kW

Chapter 6: System of Particles and Rotational Motion

Chapter Analysis

=� Chapter Weightage: 8-9%
Total Questions (2009-2024): 92+
Average Questions per Year: 6-7
Difficulty Level: Hard

Question Distribution:
- Center of Mass: 20%
- Moment of Inertia: 25%
- Torque and Angular Momentum: 35%
- Rotational Dynamics: 20%

Key Question Types

<� Frequently Asked Question Patterns:

1. Center of Mass:
   - Position calculation
   - System of particles
   - Continuous bodies
   - Example: CM of triangular lamina

2. Moment of Inertia:
   - Standard bodies
   - Parallel axis theorem
   - Perpendicular axis theorem
   - Example: MI of disc about diameter

3. Rotational Dynamics:
   - Torque calculations
   - Angular acceleration
   - Rotational equilibrium
   - Example: Rotating pulley system

4. Angular Momentum:
   - Conservation laws
   - Vector nature
   - Precession
   - Example: Rotating stool problem

Sample Questions with Solutions

=� Representative Questions:

Example 1 (Center of Mass, 2021):
Q: Find CM of particles at (0,0), (4,0), (0,3) with masses 1kg, 2kg, 3kg.
Solution: xcm = (1�0 + 2�4 + 3�0)/(1+2+3) = 8/6 = 1.33
ycm = (1�0 + 2�0 + 3�3)/6 = 9/6 = 1.5
CM = (1.33, 1.5)

Example 2 (Moment of Inertia, 2022):
Q: Find MI of thin rod of mass M and length L about center.
Solution: I = ML�/12 (standard result)

Example 3 (Angular Momentum, 2023):
Q: A disc of radius 2m and mass 5kg rotates at 10 rad/s. Find angular momentum.
Solution: I = MR�/2 = 5�4/2 = 10 kg�m�
L = I� = 10�10 = 100 kg�m�/s

Chapter 7: Gravitation

Chapter Analysis

=� Chapter Weightage: 5-6%
Total Questions (2009-2024): 75+
Average Questions per Year: 5-6
Difficulty Level: Medium to Hard

Question Distribution:
- Universal Gravitation: 25%
- Orbital Motion: 35%
- Escape Velocity: 20%
- Satellite Motion: 20%

Key Question Types

<� Frequently Asked Question Patterns:

1. Universal Gravitation:
   - Force calculations
   - Gravitational field
   - Gravitational potential
   - Example: Force between spheres

2. Orbital Motion:
   - Kepler's laws
   - Orbital velocity
   - Orbital period
   - Example: Satellite orbit calculations

3. Escape Velocity:
   - Escape velocity formula
   - Energy considerations
   - Planetary escape
   - Example: Escape from Earth

4. Satellite Motion:
   - Geostationary satellites
   - Polar satellites
   - Satellite energy
   - Example: GPS satellite

Sample Questions with Solutions

=� Representative Questions:

Example 1 (Gravitational Force, 2021):
Q: Find force between Earth (6�10�t kg) and Moon (7.3�10�� kg) separated by 3.8�10xm.
Solution: F = GMm/r� = 6.67�10{�� � 6�10�t � 7.3�10��/(3.8�10x)�
F = 2.03�10�p N

Example 2 (Orbital Velocity, 2022):
Q: Find orbital velocity of satellite at height 1000km above Earth.
Solution: v = (GM/R+h) = (6.67�10{���6�10�t/7.4�10v)
v = 7357 m/s

Example 3 (Escape Velocity, 2023):
Q: Find escape velocity from Earth's surface.
Solution: v = (2GM/R) = (2�6.67�10{���6�10�t/6.4�10v)
v = 11183 m/s H 11.2 km/s

=� Class 12 Mechanics Chapters

Chapter 1: Mechanical Properties of Solids

Chapter Analysis

=� Chapter Weightage: 3-4%
Total Questions (2009-2024): 62+
Average Questions per Year: 4-5
Difficulty Level: Medium

Question Distribution:
- Stress and Strain: 35%
- Young's Modulus: 30%
- Bulk Modulus: 20%
- Shear Modulus: 15%

Key Question Types

<� Frequently Asked Question Patterns:

1. Stress-Strain Analysis:
   - Stress calculations
   - Strain determination
   - Elastic limit
   - Example: Wire under tension

2. Modulus of Elasticity:
   - Young's modulus
   - Bulk modulus
   - Shear modulus
   - Example: Stretching of wire

3. Elastic Energy:
   - Potential energy storage
   - Energy density
   - Hysteresis
   - Example: Spring energy

4. Applications:
   - Material selection
   - Structural design
   - Safety factors
   - Example: Bridge cable

Sample Questions with Solutions

=� Representative Questions:

Example 1 (Young's Modulus, 2021):
Q: A steel wire of length 2m and diameter 1mm extends by 1mm under 100N load. Find Y.
Solution: Stress = Force/Area = 100/(��0.5��10{v) = 127.3�10v N/m�
Strain = Extension/Length = 0.001/2 = 0.0005
Y = Stress/Strain = 127.3�10v/0.0005 = 254.6�10y N/m�

Example 2 (Bulk Modulus, 2022):
Q: Find bulk modulus of liquid if pressure increase of 10v Pa causes 0.1% volume decrease.
Solution: K = -�P/(�V/V) = -10v/(-0.001) = 10y Pa

Chapter 2: Mechanical Properties of Fluids

Chapter Analysis

=� Chapter Weightage: 4-5%
Total Questions (2009-2024): 70+
Average Questions per Year: 4-5
Difficulty Level: Medium to Hard

Question Distribution:
- Fluid Pressure: 25%
- Buoyancy: 30%
- Fluid Dynamics: 25%
- Surface Tension: 20%

Key Question Types

<� Frequently Asked Question Patterns:

1. Fluid Pressure:
   - Hydrostatic pressure
   - Manometer problems
   - Atmospheric pressure
   - Example: Pressure at depth

2. Buoyancy and Flotation:
   - Archimedes' principle
   - Floating bodies
   - Density determination
   - Example: Ship buoyancy

3. Fluid Dynamics:
   - Bernoulli's equation
   - Continuity equation
   - Venturi meter
   - Example: Fluid flow in pipe

4. Surface Tension:
   - Capillary action
   - Surface energy
   - Droplet formation
   - Example: Capillary rise

Sample Questions with Solutions

=� Representative Questions:

Example 1 (Hydrostatic Pressure, 2021):
Q: Find pressure at depth 10m in water (density = 1000 kg/m�).
Solution: P = h�g = 10�1000�10 = 10u Pa

Example 2 (Archimedes' Principle, 2022):
Q: A cube of side 10cm and density 800 kg/m� floats in water. Find submerged volume.
Solution: Weight = Buoyant force
800�0.1��10 = 1000�Vsub�10
Vsub = 0.008 m� = 80% of volume

Example 3 (Bernoulli's Equation, 2023):
Q: Water flows through pipe of diameter 10cm at 2 m/s. Find pressure drop if diameter reduces to 5cm.
Solution: Using continuity: A�v� = A�v�
�(0.05)��2 = �(0.025)��v�, v� = 8 m/s
Using Bernoulli: P� + ��v�� = P� + ��v��
P� - P� = ��1000�(8� - 2�) = 500�60 = 30000 Pa

<� Strategic Preparation for Mechanics

Chapter-wise Priority

=� Mechanics Chapter Priority:

High Priority (Must Master):
1. Laws of Motion (8-9% weightage)
2. Rotational Motion (8-9% weightage)
3. Work, Energy, Power (7-8% weightage)

Medium Priority (Important):
4. Motion in a Plane (6-7% weightage)
5. Motion in a Straight Line (5-6% weightage)
6. Gravitation (5-6% weightage)

Low Priority (Basic Concepts):
7. Fluid Properties (4-5% weightage)
8. Solid Properties (3-4% weightage)
9. Units & Measurements (2-3% weightage)

Study Strategy

<� Systematic Approach:

Phase 1: Foundation Building (2 months)
- Start with Units & Measurements
- Master Motion in Straight Line
- Understand Motion in a Plane
- Build strong mathematical foundation

Phase 2: Core Concepts (3 months)
- Master Laws of Motion
- Understand Work, Energy, Power
- Learn System of Particles
- Practice problem-solving

Phase 3: Advanced Topics (2 months)
- Study Gravitation thoroughly
- Master Fluid and Solid Mechanics
- Focus on applications
- Practice complex problems

Phase 4: Integration & Practice (1 month)
- Solve mixed problems
- Take chapter tests
- Identify weak areas
- Comprehensive revision

Problem-Solving Techniques

=' Mechanics Problem-Solving Strategy:

1. Understand the Problem:
   - Identify given information
   - Determine what's asked
   - Draw appropriate diagrams
   - Choose coordinate system

2. Apply Principles:
   - Select relevant laws/theorems
   - Write appropriate equations
   - Consider all forces
   - Include constraints

3. Solve Systematically:
   - Use algebraic methods
   - Substitute numerical values
   - Check units
   - Verify reasonableness

4. Review and Learn:
   - Analyze mistakes
   - Learn alternative methods
   - Practice similar problems
   - Build intuition

 Conclusion

This comprehensive Mechanics chapter-wise compilation provides systematic coverage of all JEE Mechanics topics with 15 years of previous year questions. By mastering each chapter systematically and following the strategic preparation approach, students can build strong foundations in Mechanics and excel in JEE.

Key Benefits

=' Complete 15-year Mechanics coverage
=� Chapter-wise systematic organization
<� Detailed difficulty analysis
=� Strategic preparation guidance
=� Comprehensive problem solutions
=
 Concept-focused learning
� Optimized study schedule
<� Interactive learning tools

Success Strategy

<� Master Mechanics Systematically:
- Complete one chapter at a time
- Understand concepts deeply
- Practice varied problem types
- Build problem-solving intuition

=� Progressive Learning:
- Start with basic concepts
- Progress to complex problems
- Focus on understanding patterns
- Develop strategic thinking

=� Consistent Practice:
- Daily problem-solving
- Regular revision
- Mock test practice
- Performance analysis

Master JEE Mechanics with systematic chapter-wise preparation and 15 years of comprehensive previous year questions! =�

Remember: Mechanics is the foundation of Physics. Master these concepts systematically, and you’ll build the strong foundation needed for JEE success! <�