PYQ Analysis Last 10 Years
What actually comes in the paper. Pattern recognition is half the exam strategy.
📘 CBSE Question Patterns
Most Repeated CBSE Questions
Derive formula for range R
▼This appears as a 3–5 mark question almost every year. Key steps:
- x = v₀cosθ · t → t = x/v₀cosθ
- Substitute in y = v₀sinθ·t − ½gt²
- Set y = 0 for range → factor out t → T = 2v₀sinθ/g
- R = v₀cosθ × T = v₀²sin2θ/g
Write all intermediate steps. CBSE awards step marks. Never skip steps in derivation problems.
Prove: same range for θ and 90°−θ
▼R(θ) = v₀²sin2θ/g. For (90°−θ): R = v₀²sin(2×(90°−θ))/g = v₀²sin(180°−2θ)/g = v₀²sin2θ/g. Same! This proof appears frequently as a 2-mark question.
Show maximum range at 45°
▼R = v₀²sin2θ/g. Maximum when sin2θ = 1 → 2θ = 90° → θ = 45°. R_max = v₀²/g. Dead simple, but asked every 2 years in CBSE.
From 2024, CBSE has included more case-based questions (5 marks) involving projectile motion scenarios. The assertion-reason format has also returned. Prepare for both.
🟢 NEET Topic Frequency
🔍 NEET PYQ Pattern Analysis
2023 NEET
A ball thrown at 45° with v₀ from top of a tower. Find where it hits ground. (Horizontal projectile variant — classic setup)
2022 NEET
UCM: A particle of mass m in circle of radius r. Find centripetal force in terms of time period T. (Standard: F = 4π²mr/T²)
2021 NEET
Two projectiles with same initial speed. One at 30°, one at 60°. Find ratio of ranges. (Same range! — standard result)
For centripetal force problems: Students write F = mv²/r but forget this is the NET force toward center, not an extra force. In banked roads, students add centripetal force as a separate force in FBD. WRONG! It's the resultant of real forces.
🟡 JEE Main Difficulty Distribution
High-Frequency JEE Main Topics
📋 JEE Main Pattern: Year-wise
| Year | Topic | Type | Difficulty |
|---|---|---|---|
| 2024 | Relative velocity of two projectiles | MCQ | Medium |
| 2024 | Vertical circle min speed | Numerical | Hard |
| 2023 | Trajectory equation given | MCQ | Easy |
| 2023 | Banked road max speed | MCQ | Medium |
| 2022 | Range of horizontal projectile | Numerical | Easy |
| 2022 | Centripetal force — FBD | MCQ | Medium |
| 2021 | R₁/R₂ ratio for different angles | MCQ | Easy |
| 2020 | Velocity perpendicular to initial | Numerical | Hard |
Numerical type questions (integer answer) have replaced many MCQs. You need exact numerical answers — no guessing. Topics like "velocity at height h" and "range from cliff" appear 1–2 times per shift.
🔴 JEE Advanced Depth
2023 JEE Advanced
A projectile is fired at angle θ on an inclined plane of angle α. Find the range along the incline. Multi-correct MCQ.
Inclined Plane Projectile2022 JEE Advanced
Two balls A and B thrown simultaneously. Find minimum distance between them during flight. Requires relative motion framework.
Relative Projectile2020 JEE Advanced
Paragraph: Ball on turntable — find centripetal acceleration in rotating frame. Combined UCM + pseudo-force concept.
UCM + Rotating Frame🧠 JEE Advanced: What Makes Problems Hard
Non-standard coordinate system
▼Instead of x-horizontal, y-vertical, JEE Advanced rotates the problem: x along incline, y perpendicular to incline. The component of gravity changes: g∥ = gsinα, g⊥ = gcosα. This confuses most students.
Always draw a clear diagram first. Label ALL forces and their components in the chosen coordinate system. Then treat as a standard 2D problem in that frame.
Multiple conditions simultaneously
▼JEE Advanced problems often have 2–3 conditions: "ball lands on incline AND at same height AND velocity is horizontal at landing." Each condition gives one equation. You need all of them.
"Multi-correct" means more than one option can be right. If you select only one when two are correct, you get negative marks. For 2D motion multi-correct, always check ALL four options methodically.
🔁 Concepts Repeated 3+ Times in JEE Advanced
Vertical Circle
Minimum speed at top/bottom, tension at different points, conditions for completing the loop. Appeared 6 times in last 10 years.
Projectile on Incline
Range along incline, time of flight on incline, maximum range direction on incline. Appeared 4 times.
Relative Projectile Motion
Minimum distance, collision condition, relative velocity direction. Appeared 4 times.