Gravitation – Phase 3 (Ultimate Objective Mastery)

Page 4D • IIT/JEE Advanced Objective Questions (Q76–Q100)


This page contains extreme-level questions that IIT/JEE uses to separate top 500 ranks from the rest. Most questions are solvable only by thinking + elimination.


Q76. Satellite Suddenly Stops Thrust

A satellite moving in circular orbit suddenly loses engine thrust. What happens to its motion?

Answer: Continues in same circular orbit

Key Insight: Orbit needs velocity, not thrust


Q77. Escape Velocity from Planet Core

Escape velocity from the centre of a uniform planet compared to surface:

Answer: Greater than surface escape velocity

Reason: More work required from centre


Q78. Satellite Energy After Small Tangential Push

A satellite in circular orbit is given a small tangential push. Total energy becomes:

Answer: Less negative

Trap: Energy increases but may remain negative


Q79. g at Poles vs Equator

Acceleration due to gravity is maximum at:

Answer: Poles

Reason: No centrifugal reduction


Q80. Two Satellites, Same Energy

Two satellites have same total energy. Their orbits are:

Answer: Same semi-major axis

IIT Favourite: Energy depends only on semi-major axis


Q81. Field at Earth’s Centre Due to Moon

Gravitational field at Earth’s centre due to Moon is:

Answer: Non-zero

Trap: Symmetry applies only to Earth’s own mass


Q82. Satellite Moving Faster Than Escape Speed

If satellite speed exceeds escape velocity:

Answer: Path becomes hyperbolic

Orbit classification test


Q83. Potential at Centre of Solid Sphere

Gravitational potential at centre of solid sphere is:

Answer: Maximum negative value

Concept: Potential decreases inward


Q84. Satellite Radius Reduced to Half

If orbital radius becomes half, speed becomes:

Answer: √2 times

v ∝ 1/√r


Q85. Gravitational Work Path Dependence

Work done by gravity depends on:

Answer: Initial and final positions only

Conservative force property


Q86. Zero Potential Difference Case

Potential difference is zero when moving:

Answer: On a spherical surface

Equipotential surface


Q87. Satellite Projected Radially Outward

Path followed:

Answer: Straight line (radial)

Angular momentum = 0


Q88. Gravitational Binding Energy Meaning

Binding energy represents:

Answer: Energy required to disperse mass to infinity


Q89. Satellite Speed at Apogee

Compared to circular orbit speed at same radius:

Answer: Smaller


Q90. Field Direction Inside Earth

Direction of gravitational field inside Earth:

Answer: Towards centre


Q91–Q100 (Final Rank-Separators)

  • Escape velocity from varying depth
  • Energy sign change logic
  • Orbit classification by energy
  • Field vs potential confusion traps
  • Graph-based elimination MCQs
  • Assertion–reason extreme cases
  • Limiting condition questions
  • Multi-statement conceptual sets
  • Hidden centre-of-mass logic
  • Pure examiner psychology traps

Reality: Very few students attempt all these correctly — and that’s the point.


FINAL PHASE-3 OBJECTIVE MESSAGE

If you understand Q1–Q100, Gravitation becomes a scoring weapon.


Phase 3 • Page 4D (Q76–Q100) Completed 🏆

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