Gravitation

12 lessons

Topic index in NCERT order

12 of 12 lessons by the NCERT chapter they teach from, in book order. The page is the first printed page of your NCERT book the lesson cites; PYQs are the past NEET questions on that topic.

Class 11 Physics, Chapter 7

  1. Kepler's Lawsp. 1292 PYQs
  2. Universal Law Gravitationp. 1300 PYQs
  3. Acceleration Due to Gravityp. 1332 PYQs
  4. g Variation Altitudep. 1331 PYQ
  5. g Variation Depthp. 1340 PYQs
  6. Gravitational Potentialp. 1351 PYQ
  7. Gravitational Potential Energyp. 1350 PYQs
  8. Escape Velocityp. 1362 PYQs
  9. Motion of Satellitep. 1370 PYQs
  10. Orbital Velocityp. 1370 PYQs
  11. Satellite Time Periodp. 1391 PYQ
  12. Satellite Energyp. 1401 PYQ

Past-paper questions from this unit

10 questions from NEET 2021, 2022, 2023, 2024, 2025, 2026. Answers verified against NTA official keys.

By year in our set: 2021 (1) · 2022 (1) · 2023 (2) · 2024 (2) · 2025 (2) · 2026 (2)

Exam traps and common mistakes in this unit

Lesson: g Variation Altitude

Category: Similar Terms

Student treats g(h) as linear in h. Actual: g(R/(R+h))² (inverse-square).

When it triggers

Question asks for g at significant altitude (e.g. R/2 above surface).

How to avoid

Use g_h = g (R/(R+h))². Linear approximation g(1 - 2h/R) only valid for h << R.

Lesson: Kepler's Laws

Category: Similar Terms

Student treats T proportional to a (linear) instead of a^(3/2).

When it triggers

Question gives change in semi-major axis and asks for new period.

How to avoid

T² ∝ a³, so T ∝ a^(3/2). Doubling a multiplies T by 2^(3/2) ≈ 2.83.

Lesson: g Variation Altitude

Root cause: formula misuse

Correction

Use g_h = g(R/(R+h))² (inverse-square). Linear approximation g(1-2h/R) is only valid for h << R. For h = R/2, the exact formula gives g_h = (2/3)² g = 4g/9, not g(1-1) = 0.

Lesson: Kepler's Laws

Formulas in this unit

Lesson: Acceleration Due to Gravity

Newton's law of gravitation

Attractive force between any two masses. Inverse-square central force.

SymbolQuantitySI Unit
FforceN
Ggrav constant = 6.674e-11N*m^2/kg^2
m1, m2masseskg
rcentre-to-centre distancem

Valid when

  • Point masses or spherically symmetric distributions
  • r > sum of body radii (else use shell theorem)

Lesson: Escape Velocity

Escape velocity from a body's surface

Minimum speed for an object to escape gravity to infinity from radius R. Earth: ~11.2 km/s.

SymbolQuantitySI Unit
v_eescape velocitym/s
Mplanet masskg
Rplanet radiusm
gsurface gravitym/s^2

Valid when

  • Launched from surface
  • No air drag
  • Body treated as point/sphere

Lesson: g Variation Altitude

g variation with altitude

Gravitational acceleration decreases with altitude above Earth's surface.

SymbolQuantitySI Unit
g_hg at height hm/s^2
gsurface gm/s^2
REarth radiusm
haltitudem

Valid when

  • Static observer at altitude
  • Earth treated as uniform sphere

Lesson: g Variation Depth

g variation with depth

Inside Earth (uniform density), g decreases linearly with depth, vanishing at centre.

SymbolQuantitySI Unit
g_dg at depthm/s^2
gsurface gm/s^2
REarth radiusm
ddepthm

Valid when

  • Earth treated as uniform density sphere

Lesson: Gravitational Potential

Gravitational potential energy (point masses)

PE of two-body system; negative because gravity is attractive (work to separate them is positive).

SymbolQuantitySI Unit
Ugrav PEJ
M, mtwo masseskg
rseparationm

Valid when

  • Reference U=0 at r=infinity
  • Point or spherical masses

Lesson: Kepler's Laws

Kepler's third law

Square of orbital period proportional to cube of semi-major axis. Holds for elliptic orbits about a central mass.

SymbolQuantitySI Unit
Torbital periods
asemi-major axism
Mcentral masskg

Valid when

  • Two-body system with central mass M >> orbiting mass
  • Bound orbit

Lesson: Motion of Satellite

Orbital velocity for circular orbit

Speed of circular orbit at altitude h above body of mass M, radius R.

SymbolQuantitySI Unit
vorbital speedm/s
Mcentral masskg
R+horbit radiusm

Valid when

  • Circular orbit
  • M >> orbiting mass

Lesson: Satellite Energy

Satellite total mechanical energy

Total energy = KE + PE = -KE (virial). Always negative for bound orbit; E -> 0 at infinity.

SymbolQuantitySI Unit
Etotal energyJ
M, mcentral mass and satellite masskg
R+horbit radiusm

Valid when

  • Circular orbit
  • Bound (E < 0)

NEET question patterns in this unit

Lesson: Escape Velocity

Lesson: g Variation Altitude

Lesson: Kepler's Laws

Lesson: Orbital Velocity

Questions about this unit

What does Gravitation cover for NEET Physics?
12 lessons: Acceleration Due to Gravity, Escape Velocity, g Variation Altitude, g Variation Depth, Gravitational Potential, Gravitational Potential Energy, Kepler's Laws, Motion of Satellite, Orbital Velocity, Satellite Energy, Satellite Time Period and Universal Law Gravitation.
How often has Gravitation come up in NEET past papers?
Our set of verified past papers has 10 questions from this unit, from NEET 2021, 2022, 2023, 2024, 2025 and 2026. Each is answered against the official NTA key.
Is the Gravitation material free?
Yes. All 12 lessons and 96 practice questions are free, with no login needed.