JEE · NEET · AIIMS · BITSAT · KVPY
🪐 Master Gravitation
NCERT Class 11 · Chapter 8
Real PYQs from top competitive exams — filter by exam, attempt each question, track your progress and submit to see your full score report.
50
Real PYQs
5
Exam Bodies
15+
Years Covered
~8%
Exam Weightage
PYQs Overview
Universal Law of Gravitation
F = Gm₁m₂/r²; G = 6.67×10⁻¹¹; superposition principle.
★★★★★
92% Frequency
Orbital & Escape Velocity
v_o = √(GM/R); v_e = √(2GM/R) = √2 × v_o.
★★★★★
94% Frequency
Kepler's Laws of Planetary Motion
Law of orbits, areas, periods — T² ∝ r³.
★★★★★
88% Frequency
Satellites — Geostationary
Height, orbital period, synchronous orbit conditions.
★★★★☆
78% Frequency
Gravitational PE & Field
U = –GMm/r; g at height h and depth d.
★★★★☆
82% Frequency
Variation of g
With altitude, depth, latitude, rotation of Earth.
★★★★☆
75% Frequency
Topic Frequency
💡 Did You Know?
- v_escape = √2 v_orbital — asked every exam
- Kepler's third law T² ∝ r³ — zero skips in JEE
- g at height h — asked 11× in NEET
- Geostationary orbit height ≈ 36,000 km
- Chapter 8 = gateway to astrophysics
Key Takeaways
Escape velocity = √2 × orbital velocity
v_e = √(2GM/R); v_o = √(GM/R). Ratio is fixed at √2.
Kepler's third law: T² ∝ a³
a = semi-major axis. True for all planets around same star.
g decreases both above and below surface
Above: g ∝ 1/r². Below: g ∝ r (g = 0 at centre).
Gravitational PE = –GMm/r (negative)
PE increases (becomes less negative) as r increases. PE = 0 at r = ∞.
Geostationary satellite: T = 24 h
Orbits in equatorial plane, west to east, h ≈ 36,000 km.
Binding Energy = –(Total ME) = GMm/2r
Energy required to remove satellite from orbit.
Study Strategy
1
Newton's Law of GravitationDay 1–2
F = Gm₁m₂/r²; superposition; shell theorem.
2
Gravitational Field & PEDay 3
g at h, d, latitude; gravitational PE = –GMm/r.
3
Orbital & Escape VelocityDay 4
Derive both; relationship between them; 20 numerical problems.
4
Kepler's LawsDay 5
All three laws; apply T² ∝ r³ to problems — 15 problems.
5
SatellitesDay 6
Geostationary, polar, energy of satellite — 15 problems.
6
Attempt All PYQsDay 7
Orbital velocity, escape velocity, Kepler's laws = top priority.
7
Mock TestDay 8
30-Q timed. Ratio problems (v_e/v_o) are classic favourites.
🗓️ 8-Day Chapter Plan
| Day 1–2 | Newton's Law of Gravitation |
| Day 3 | Gravitational Field & PE |
| Day 4 | Orbital & Escape Velocity |
| Day 5 | Kepler's Laws |
| Day 6 | Satellites |
| Day 7 | Attempt All PYQs |
| Day 8 | Mock Test |
🧠 Pro Tip: v_e = √2 × v_o is the most-asked single fact in this chapter. Derive it once, memorise it forever.
🚀
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Real PYQs, topic-wise overview, key takeaways and an 8-day strategy — all in one place.
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