PART–4 (vii) : IIT / JEE Previous Year Questions – Advanced & Tricky Set
This set is meant for serious IIT aspirants. Questions involve non-obvious reasoning, hidden constraints, and multi-step thinking—exactly how IIT–JEE Advanced frames problems.
PYQ–31 (IIT–JEE Advanced)
Question:
A block of mass m is placed on a rough horizontal surface. A force F acts on the block at an angle θ above the horizontal. Find the condition for which the block just starts moving.
Method Selection:
Resolve the applied force into horizontal and vertical components. Normal reaction changes due to vertical component.
Solution:
Vertical balance:
N = mg − F sinθ
Maximum friction = μN = μ(mg − F sinθ)
At limiting condition:
F cosθ = μ(mg − F sinθ)
This equation gives the condition for impending motion.
Examiner’s Intention:
To test how force direction affects normal reaction and friction.
PYQ–32 (IIT–JEE Advanced)
Question:
Two blocks of masses m and 2m are connected by a string. They are placed on two inclined planes of equal angle θ but opposite orientation. Find the acceleration of the system (surfaces smooth).
Method Selection:
Compare components of gravity along both inclines.
Solution:
Driving force = 2mg sinθ − mg sinθ = mg sinθ
Total mass = 3m
a = (g sinθ) / 3
Examiner’s Intention:
To test comparative force analysis rather than heavy mathematics.
PYQ–33 (IIT–JEE Advanced)
Question:
A particle moves such that the net force acting on it is always perpendicular to its velocity. What can be said about its speed?
Method Selection:
Analyze work done by force.
Solution:
Force perpendicular to velocity does no work.
Hence, kinetic energy remains constant.
Speed remains constant.
Examiner’s Intention:
To link Laws of Motion with Work–Energy concept.
PYQ–34 (IIT–JEE Advanced)
Question:
A block is pressed against a rough vertical wall by a horizontal force F. Find the maximum mass of the block that can be held without sliding.
Method Selection:
Analyze equilibrium using friction as upward force.
Solution:
Normal reaction N = F
Maximum friction = μF
For equilibrium:
μF ≥ mg
m ≤ μF / g
Examiner’s Intention:
To test non-horizontal friction understanding.
PYQ–35 (IIT–JEE Advanced)
Question:
A body is moving with uniform velocity in a straight line. A force suddenly starts acting perpendicular to its velocity. Describe the subsequent motion.
Method Selection:
Vector addition of velocity and acceleration.
Solution:
Perpendicular force causes change in direction, not speed.
The body moves along a curved path with constant speed.
Examiner’s Intention:
To test separation of magnitude and direction of velocity.
Elite Problem-Solving Insights
- Always check how force direction affects normal reaction.
- Perpendicular forces change direction, not speed.
- Use work–energy thinking even inside Laws of Motion.
- IIT tests logic more than calculation.
PART–4 (vii) Completed.
Advanced PYQs covered: 35+
This level is sufficient for IIT–JEE Advanced confidence.
📚 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.
- Part 1 – Introduction to Topper Thinking
- Part 2 – Understanding the Problem Statement
- Part 3 – Visualization & Physical Sense
- Part 4 – Role of Acceleration & Forces
- Part 5 – Free Body Diagram Thinking
- Part 6 – Method Selection Strategy
- Part 7 – Avoiding Formula Traps
- Part 8 – System Approach Mindset
- Part 9 – Friction & Constraint Thinking
- Part 10 – Time vs Accuracy Balance
- Part 11 – Common Thinking Mistakes
- Part 12 – Decision Flow in Tough Problems
- Part 13 – Eliminating Wrong Options
- Part 14 – Handling Multi-Concept Questions
- Part 15 – Pressure Handling in Exam Hall
- Part 16 – Speed Building Without Guessing
- Part 17 – Extreme Case Thinking
- Part 18 – Logical Shortcuts vs Blind Tricks
- Part 19 – Advanced Reasoning Techniques
- Part 20 – Rank-Deciding Thought Patterns
- Part 21 – Physics Intuition Development
- Part 22 – Eliminating Panic in Tough Questions
- Part 23 – Last-Minute Thinking Strategy
- Part 24 – Mistake-Proof Problem Solving
- 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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