NCERT · Class XI · Chapter 7

Gravitation True/False Concept Stress Test

Use this focused true–false set to probe your intuition about universal gravitation, potential, satellites and energy before you touch full-length numericals.

Question Count
25 T/F items
Core conceptual checks
Time Target
15–20 minutes
~40 s per statement
Difficulty Mix
Board → JEE edge
From “G vs g” to reduced mass
Why these True/False first Quick concept highlights Exam strategy tips
Mass Satellite Universal Gravitation Same law: free fall, orbits, escape True/False Focus Field · Potential · Satellites · Energy
Many statements in gravitation feel “obvious” but are subtly wrong – this page trains you to spot those traps instantly.

Why Gravitation Matters for Entrance Exams

These true–false questions sharpen the exact conceptual edges on which JEE/NEET and Olympiad setters love to build tricky MCQs.

Boards & NCERT Alignment

  • Directly covers NCERT lines on G, g, potential and escape speed.
  • Many “True/False – justify” questions are based on these ideas.
  • Excellent warm-up before short answer and derivation questions.

JEE / NEET Concept Precision

  • Targets classic traps: sign of potential, dependence on mass, g-variation.
  • Links field, potential and satellite motion in a single framework.
  • Improves speed on “single correct” and “assertion–reason” items.

Higher-Level Physics Readiness

  • Bridges school gravitation with central-force and orbital mechanics.
  • Introduces language of fields, potentials and reduced mass gently.
  • Ideal stepping stone towards advanced mechanics textbooks.
If you can defend each true–false statement here with a one-line argument, you are conceptually ready for almost any exam question on Gravitation.

Key Concept Highlights Behind These Statements

The true–false set clusters naturally around a few pillars; knowing them makes every statement easy to judge.

Universal Gravitation & G

Statements on “force between any two objects”, universality of G and inverse-square dependence test your basic grasp of Newton’s law and Cavendish-style experiments.

G vs g Inverse square Long-range force
g, Mass, Weight & Earth Model

Here you judge claims about g being “same everywhere”, variation with height/depth and the shell theorem for uniform spheres and shells.

Uniform sphere Shell theorem g vs r
Field, Potential & Energy

Potential at infinity, sign of potential and energy, and “most/least negative” positions all belong to the gravitational potential well picture.

V = 0 at ∞ Negative U Bound states
Satellites, Orbits & Kepler

Statements about centripetal force, orbital speed vs radius, time period and areal velocity connect Newton’s law with Kepler’s laws and circular motion.

v ∝ 1/√r T ∝ r^{3/2} Equal areas
Escape Speed & Weightlessness

A cluster of items clarifies why escape speed is mass-independent and why astronauts are weightless even though gravity still acts on them.

vₑ = √(2GM/R) Free fall g ≠ 0
Two-Body & Reduced Mass

The last statements step into the reduced-mass picture and central potentials, linking your JEE-prep to standard mechanics treatments.

μ = m₁m₂/(m₁+m₂) Effective 1-body Central force

Important Formula Capsules for This T/F Set

Keep these compact capsules in mind; most statements can be accepted or rejected by checking against one of these relations.

Universal Law

\( F = G \dfrac{m_1 m_2}{r^2} \)

Attractive, inverse square
Surface Gravity

\( g = \dfrac{GM}{R^2} \)

Varies with planet
g vs Height

\( g_h = g \left(\dfrac{R}{R+h}\right)^2 \)

Decreases above Earth
g vs Depth

\( g_d = g\left(1 - \dfrac{d}{R}\right) \)

Linear to zero at centre
Potential & Energy

\( V(r) = -\dfrac{GM}{r},\quad U = -\dfrac{GMm}{r} \)

Zero at infinity
Orbital Motion

\( v = \sqrt{\dfrac{GM}{r}},\; T = 2\pi \sqrt{\dfrac{r^3}{GM}} \)

Kepler’s third law
Satellite Energy

\( E = -\dfrac{GMm}{2r} \)

Bound orbit energy
Escape Speed

\( v_e = \sqrt{\dfrac{2GM}{R}} = \sqrt{2gR} \)

Independent of projectile mass
Jump to full detailed notes and formula sheet →

What You Will Learn by Solving These True/False

Treat each statement as a mini-concept check – if you can justify every answer, you truly understand the chapter.

Core Gravitation Intuition

  • Distinguish clearly between always-true universal statements and context-dependent approximations.
  • Explain why gravitational force is always attractive and long-range.
  • Relate shell theorem results to real planetary models.

Field, Potential & Energy Sense

  • Decide the sign and relative magnitude of gravitational potential and potential energy.
  • Locate points where fields cancel but potential does not.
  • Use energy diagrams to reason about bound vs unbound motion.

Orbits, Satellites & Escape

  • Explain how the same gravitational force produces circular and elliptical orbits.
  • Compare orbital speed, time period and energy across different radii.
  • Clarify myths about escape velocity and weightlessness.

Navigate to Detailed Note Sections

Use this quick map to jump from a confusing statement to the exact theory you need to revise.

Universal Law & G

Definition, nature of force, value and units of G.

g: Earth Model

g at surface, above and below, shell theorem.

Potential & Energy

V and U vs r, sign conventions, wells and diagrams.

Escape Speed

Derivation, independence from projectile mass, numerics.

Satellites & Orbits

Orbital speed, period, total energy, weightlessness.

Kepler & Areal Velocity

Elliptical orbits, equal areas, T² ∝ r³ applications.

Formula Sheet

All key relations used in this T/F set at one place.

Two-Body & Reduced Mass

Effective one-body motion in central potentials.

Exam Strategy & Preparation Tips for True/False

Use this page as an active debugger for your mental model of Gravitation before you attempt heavy numericals.

For Boards & School Exams

  • Read each statement slowly and locate the exact NCERT line it is based on; this builds “textbook-accurate” language in your mind.
  • After answering, write one justification line – formula, diagram or definition – so your reasoning is ready for 2–3 mark questions.
  • Mark statements you got wrong, then immediately jump via navigation to the matching theory section and re-read that subtopic.

For JEE / NEET / Olympiads

  • Treat each statement as an “assertion” and quickly think of a counterexample; if you can find one, you know it must be false.
  • Group statements by theme (field/potential, orbits, shell theorem) and solve theme-wise to strengthen links across formulas.
  • Revisit this page in the last 2–3 days before exam as a rapid conceptual stress test; aim for 100% accuracy with full justifications.
Do not guess blindly on true–false: your goal here is to train yourself to immediately recall the right diagram, formula or principle behind every statement.
Your Progress 0 / 25 attempted
Q 01 / 25
Gravitation is a force of attraction that acts between any two material objects in the universe.
Q 02 / 25
The gravitational constant \(G\) has the same value at all places in the universe.
Q 03 / 25
The value of acceleration due to gravity \(g\) is exactly the same at all points on the earth’s surface.
Q 04 / 25
The gravitational force between two point masses becomes one-fourth if the distance between them is doubled.
Q 05 / 25
The gravitational force between two bodies becomes zero if the distance between them becomes very large.
Q 06 / 25
For a spherically symmetric body, the gravitational field outside it is the same as if all its mass were concentrated at its centre.
Q 07 / 25
A spherically symmetric thin shell of mass exerts zero net gravitational force on a particle placed anywhere inside it.
Q 08 / 25
The gravitational potential at infinity is conventionally taken as zero.
Q 09 / 25
Gravitational potential is always positive for an attractive inverse-square law force like Newtonian gravity.
Q 10 / 25
The gravitational potential energy of a two-mass system becomes less negative as the distance between the masses increases.
Q 11 / 25
The acceleration due to gravity at a height \(h\) above earth’s surface is always greater than the value at the surface.
Q 12 / 25
Deep inside a uniform earth, the value of \(g\) decreases linearly with depth from the surface towards the centre.
Q 13 / 25
In a circular orbit around earth, the gravitational force on a satellite provides the necessary centripetal force.
Q 14 / 25
The orbital speed of a satellite in a circular orbit around earth increases with the radius of its orbit.
Q 15 / 25
The time period of a satellite in a circular orbit around earth increases as the radius of the orbit increases.
Q 16 / 25
Two satellites of different masses in the same circular orbit around earth must have the same orbital period.
Q 17 / 25
The escape speed from earth’s surface depends on the mass of the object being projected.
Q 18 / 25
A satellite in a stable circular orbit around earth is completely weightless because the gravitational force on it is zero.
Q 19 / 25
For a given central mass, the areal velocity of a planet in orbit remains constant if only gravitational force acts.
Q 20 / 25
If the distance between earth and sun became half, the orbital period of earth would become one-fourth of its present value.
Q 21 / 25
For a planet moving in an elliptical orbit, its total mechanical energy remains constant in the absence of non-gravitational forces.
Q 22 / 25
The gravitational field between two equal point masses placed at a finite separation is zero at exactly one point on the line joining them.
Q 23 / 25
Inside a planet of uniform density, the gravitational potential is maximum (least negative) at the centre.
Q 24 / 25
For a satellite in a circular orbit, the total energy is numerically equal to its gravitational potential energy.
Q 25 / 25
In a two-body system interacting only via Newtonian gravitation, the motion can be reduced to that of a single body of reduced mass moving in an effective central potential.
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