PART–4 : IIT / JEE Previous Year Questions (PYQs)

This section contains authentic previous IIT / JEE-type questions from different years. Each question is followed by:

  • Correct method of approach
  • Step-by-step solution
  • Examiner’s intention
  • Common student mistakes

PYQ–1 (IIT–JEE)

Question:

A block of mass m rests on a smooth horizontal surface. A constant horizontal force F is applied. Find the acceleration of the block.

Method Selection:

Since a force produces acceleration, Newton’s Second Law (F = ma) must be used. Energy or momentum methods are not applicable.

Solution:

Net force acting on the block = F
Using F = ma,

a = F / m

Examiner’s Intention:

To check whether the student understands the direct relation between force and acceleration.

Common Mistake:

Students unnecessarily apply equations of motion.


PYQ–2 (IIT–JEE)

Question:

A block of mass 2 kg is placed on a rough horizontal surface. Coefficient of friction is 0.2. Find the minimum horizontal force required to just start the motion. (Take g = 10 m/s2)

Method Selection:

This is a force balance problem. Use Newton’s laws with friction.

Solution:

Normal reaction, N = mg = 2 × 10 = 20 N
Maximum friction, f = μN = 0.2 × 20 = 4 N

Minimum force required = friction force = 4 N

Examiner’s Intention:

To test understanding of limiting friction and equilibrium.

Common Mistake:

Taking friction as μmg without checking motion condition.


PYQ–3 (IIT–JEE)

Question:

Two blocks of masses m and 2m are connected by a light string and pulled by a force F on a smooth surface. Find the acceleration of the system.

Method Selection:

Treat both blocks as a single system. Use Newton’s Second Law.

Solution:

Total mass = m + 2m = 3m
Net force = F

Using F = ma,

a = F / 3m

Examiner’s Intention:

To test system approach instead of individual force equations.

Common Mistake:

Writing separate equations unnecessarily and getting confused.


PYQ–4 (IIT–JEE)

Question:

A lift is moving upward with acceleration a. Find the apparent weight of a person of mass m inside the lift.

Method Selection:

Use Free Body Diagram and Newton’s Second Law.

Solution:

Forces acting: Normal reaction N upward, weight mg downward.

Applying F = ma upward,

N − mg = ma

N = m(g + a)

Examiner’s Intention:

To test understanding of non-inertial motion.

Common Mistake:

Students write N = mg even when acceleration is present.


PYQ–5 (IIT–JEE)

Question:

A body of mass m is thrown vertically upward. Which force acts on it at the highest point?

Method Selection:

Conceptual question based on Newton’s laws.

Solution:

At the highest point, velocity is zero but acceleration is not zero.

Only gravitational force acts downward.

Force = mg (downward)

Examiner’s Intention:

To check the difference between velocity and acceleration.

Common Mistake:

Students say force is zero because velocity is zero.


Important Competitive Tips

  • If acceleration exists, force must exist.
  • Always draw Free Body Diagram first.
  • Choose system approach wherever possible.
  • Do not confuse velocity with acceleration.

PART–4 (PYQs) – Section–1 Completed.
More PYQs will follow to cover 30+ years of IIT/JEE papers.

📚 Physics Thinking Library – How IIT Toppers Think

Welcome to the Physics Thinking Library by Mind Grow Magazine. This library is specially designed for IIT–JEE & Intermediate students to understand how toppers think, decide, and solve Physics problems.


🎯 What You Will Learn From This Library

  • How IIT toppers approach Physics questions
  • Decision-making during problem solving
  • Common traps & how to avoid them
  • Exam-hall mindset and logic flow
  • Step-by-step thinking framework

📘 Complete Series: How IIT Toppers Think (Part 1–25)

Click on any part below to start learning. It is recommended to read in order.

  1. Part 1 – Introduction to Topper Thinking
  2. Part 2 – Understanding the Problem Statement
  3. Part 3 – Visualization & Physical Sense
  4. Part 4 – Role of Acceleration & Forces
  5. Part 5 – Free Body Diagram Thinking
  6. Part 6 – Method Selection Strategy
  7. Part 7 – Avoiding Formula Traps
  8. Part 8 – System Approach Mindset
  9. Part 9 – Friction & Constraint Thinking
  10. Part 10 – Time vs Accuracy Balance
  11. Part 11 – Common Thinking Mistakes
  12. Part 12 – Decision Flow in Tough Problems
  13. Part 13 – Eliminating Wrong Options
  14. Part 14 – Handling Multi-Concept Questions
  15. Part 15 – Pressure Handling in Exam Hall
  16. Part 16 – Speed Building Without Guessing
  17. Part 17 – Extreme Case Thinking
  18. Part 18 – Logical Shortcuts vs Blind Tricks
  19. Part 19 – Advanced Reasoning Techniques
  20. Part 20 – Rank-Deciding Thought Patterns
  21. Part 21 – Physics Intuition Development
  22. Part 22 – Eliminating Panic in Tough Questions
  23. Part 23 – Last-Minute Thinking Strategy
  24. Part 24 – Mistake-Proof Problem Solving
  25. Part 25 – Final Topper Framework

🧠 How to Use This Library Effectively

  • Read 1–2 parts daily
  • Apply thinking to real Physics problems
  • Revisit library before exams
  • Use as a mindset guide, not memorization

This library is a long-term asset for serious Physics learners.
© Mind Grow Magazine

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