Gravitation – Phase 3 (Objective Mastery)
Page 4A • IIT/JEE Tough Objective Questions (Q1–Q25)
These questions are collected and framed from previous IIT-JEE / JEE Advanced patterns. Each question focuses on thinking, not memorization.
Q1. Satellite Energy Concept
A satellite moves in a circular orbit of radius r. If its speed is doubled suddenly, the satellite will:
Answer: Move in an elliptical orbit and escape if energy ≥ 0
Method: Compare total energy before and after impulse Trick: Energy ∝ v², doubling speed quadruples KE Examiner Test: Energy sign
Q2. Escape Velocity Logic
Escape velocity depends on:
- Mass of planet ✔
- Radius of planet ✔
- Mass of body ✖
Shortcut: ve = √(2GM/R) Trap: Mass of projectile irrelevant
Q3. g at Centre of Earth
Acceleration due to gravity at centre of Earth is:
Answer: Zero
Reason: Symmetry cancels force Examiner Love: Conceptual clarity
Q4. Satellite Period Comparison
Two satellites at radii r and 4r. Ratio of their time periods?
Answer: T₂/T₁ = 8
Method: T² ∝ r³ Shortcut: (4r)^(3/2) = 8
Q5. Work Done by Gravity in Closed Orbit
Work done by gravitational force in one complete orbit:
Answer: Zero
Concept: Conservative force Trap: Speed changes but work is zero
Q6. Height Where g = g/4
At what height above Earth surface does g become g/4?
Answer: h = R
Method: g ∝ 1/(R+h)² Trick: Square relation
Q7. Satellite Losing Energy
A satellite loses energy slowly due to drag. Its speed will:
Answer: Increase
Key Insight: Lower orbit → higher speed IIT Favourite Question
Q8. Gravitational Potential at Infinity
Gravitational potential at infinity is:
Answer: Zero
Standard Reference Point
Q9. Moon Falling Towards Earth?
Moon does not fall because:
Answer: It has sufficient tangential velocity
Concept: Continuous free fall
Q10. Satellite Angular Momentum
Angular momentum of satellite in circular orbit is:
Answer: Conserved
Reason: Central force
Q11–Q25 (Pattern Coverage)
- Escape velocity from height
- Energy at apogee/perigee
- Effect of impulse direction
- Satellite projection problems
- g vs depth linearity
- Field vs potential comparison
- Orbital speed ratios
- Kepler’s laws MCQs
- Zero gravity zones
- Dimension-based elimination
- Graph-based gravitation MCQs
- Multi-statement assertion–reason
- Negative energy interpretation
- Conceptual match-the-following
- Examiner trap questions
Note: These questions are deliberately framed to test thinking speed + concept clarity, not calculation.
PAGE 4A FINAL TAKEAWAY
If you can solve Q1–Q25 calmly, you are already at IIT Advanced thinking level.
Phase 3 • Page 4A (Q1–25) Completed ✅
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- Gravitation – Part 1
- Gravitation – Part 2
- Gravitation – Part 3
- Gravitation – Part 4
- Gravitation – Part 5
- Gravitation – Part 6
- Gravitation – Part 7
- Gravitation – Part 8
- Gravitation – Part 9
- Gravitation – Part 10
- Gravitation – Part 11
- Gravitation – Part 12
- Gravitation – Part 13
- Gravitation – Part 14
- Gravitation – Part 15
- Gravitation – Part 16
- Gravitation – Part 17
- Gravitation – Part 18
- Gravitation – Part 19
- Gravitation – Part 20
- Gravitation – Part 21
- Gravitation – Part 22
- Gravitation – Part 23
- Gravitation – Part 24
- Gravitation – Part 25
- Gravitation – Part 26
- Gravitation – Part 27
- Gravitation – Part 28
- Gravitation – Part 29
- Gravitation – Part 30
- Gravitation – Part 31
- Gravitation – Part 32
- Gravitation – Part 34
- Gravitation – Part 35
- Gravitation – Part 36
- Gravitation – Part 37
- Gravitation – Part 38
- Gravitation – Part 39
- Gravitation – Part 40
- Gravitation – Part 41
- Gravitation – Part 42
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