50 Very Short Answer Type Questions & Answers — Gravitation
Instructions: Each answer is concise and aligned to NCERT-level expectations — ideal for quick revision and board exam practice.
Universal Law of Gravitation
- Q1: State Newton’s Universal Law of Gravitation.
Every point mass attracts every other point mass with a force proportional to the product of their masses and inversely proportional to the square of the distance between them:
F = G m₁ m₂ / r². - Q2: What does the constant G represent?
G is the universal gravitational constant, value ≈
6.67×10⁻¹¹ N·m²/kg², determining the strength of gravitational interaction. - Q3: Is gravitational force attractive or repulsive?
Gravitational force is always attractive between masses.
- Q4: How does gravitational force change if distance is doubled?
If distance r is doubled, force becomes one-fourth (since
F ∝ 1/r²). - Q5: How does gravitational force change if one mass is tripled?
If one mass is tripled, gravitational force triples (force ∝ product of masses).
Gravitational Field & Acceleration due to Gravity (g)
- Q6: Define gravitational field (intensity).
Gravitational field at a point is gravitational force experienced per unit mass placed there:
g = F/m. - Q7: Give the formula for acceleration due to gravity at distance r from Earth's centre.
g = GM / r², where M is Earth's mass and G is the gravitational constant. - Q8: Typical value of g at Earth’s surface?
Approximately
9.8 m/s²(often approximated as 9.8 or 10 m/s² depending on the problem). - Q9: What is the direction of g near Earth's surface?
g is directed towards the centre of Earth (downward).
- Q10: Does g depend on mass of the object?
No. g depends on Earth’s mass and radius, not on the test object's mass.
Variation of g with Altitude & Depth
- Q11: How does g change with altitude?
g decreases with altitude:
g' = g (R/(R+h))², where h is height above surface. - Q12: How does g change with small altitude (approx)?
For small h,
g' ≈ g (1 − 2h/R)(approximate linear decrease). - Q13: How does g vary with depth inside Earth (uniform density)?
For depth d,
gdepth = g (1 − d/R), decreasing linearly with depth. - Q14: Why does g decrease inside Earth?
Because only the mass enclosed within radius (R−d) contributes; effective attracting mass decreases as you go deeper.
- Q15: At Earth's centre, what is g?
At centre g = 0 (net gravitational field cancels in all directions).
Mass, Weight & Apparent Weight
- Q16: Define mass.
Mass is the amount of matter in a body, a scalar quantity measured in kg; it is invariant.
- Q17: Define weight.
Weight is the gravitational force on a body:
W = m g, measured in newtons (N). - Q18: How do mass and weight differ?
Mass is intrinsic; weight depends on local g and changes with location (e.g., Moon vs Earth).
- Q19: What is apparent weight?
Apparent weight is the normal reaction on a body in a non-inertial frame; equals
m(g ± a)depending on acceleration. - Q20: What causes weightlessness?
Weightlessness occurs when a body and its support accelerate equally under gravity (e.g., free-falling elevator or orbiting spacecraft), giving zero normal reaction.
Free Fall & Kinematics under Gravity
- Q21: What is free fall?
Free fall is motion under gravity only, with negligible air resistance and acceleration equal to g downward.
- Q22: Which kinematic equation is used for distance under constant g?
s = ut + ½ g t²(with acceleration g directed downward). - Q23: If an object is dropped from rest, what is its initial velocity?
Initial velocity u = 0.
- Q24: What is the velocity after time t in free fall from rest?
v = g t. - Q25: Give the relation between v² and displacement s under constant g.
v² = u² + 2 g s.
Satellites, Orbital Motion & Escape Velocity
- Q26: What provides centripetal force for a satellite in circular orbit?
Gravitational force between Earth and satellite provides the required centripetal force.
- Q27: Formula for orbital speed in a circular orbit of radius r?
v = √(GM / r), where M is Earth's mass. - Q28: Formula for orbital period T of a circular orbit?
T = 2π √(r³ / GM). - Q29: Define escape velocity.
Escape velocity is the minimum speed required to escape Earth’s gravitational pull without further propulsion:
vₑ = √(2GM / R). - Q30: Numerical value of Earth’s escape velocity (approx)?
Approximately
11.2 km/sat Earth's surface (neglecting atmosphere).
Kepler’s Laws & Related Concepts
- Q31: State Kepler’s third law in simple form.
Square of orbital period is proportional to cube of semi-major axis:
T² ∝ r³(for circular orbits use radius r). - Q32: Is Newton’s law of gravitation applicable only to planets?
No — it applies universally to all masses, from particles to galaxies.
- Q33: What happens to orbital speed if orbit radius increases?
Orbital speed decreases with increasing radius:
v ∝ 1/√r. - Q34: What is a geostationary satellite (brief)?
A satellite that orbits Earth with period 24 hours over the equator, appearing stationary relative to Earth’s surface.
- Q35: Is weightlessness the same as zero gravity?
Not exactly — weightlessness occurs because no normal force; gravity still acts but occupants accelerate with the spacecraft.
Conceptual Checks & Quick Facts
- Q36: Two masses attract each other with force F. If both masses are doubled, what is new force?
Force becomes four times (since product of masses increases by factor 4):
4F. - Q37: If gravitational constant G were larger, what happens to g on Earth?
g would increase proportionally, making gravity stronger at all distances.
- Q38: Does gravitational force obey superposition?
Yes — net gravitational force is vector sum of forces due to individual masses.
- Q39: Why do we use centre-to-centre distance in gravitational formula?
Because gravitational attraction acts between centres of mass; r is distance between centres for point-mass approximation.
- Q40: For two identical spheres touching each other, what r do we use?
Use distance between centres equal to sum of their radii (r = r₁ + r₂).
Short Numericals & Calculation Concepts
- Q41: If g = 9.8 m/s², what is weight of 2 kg mass on Earth?
W = m g = 2 × 9.8 =
19.6 N. - Q42: If g on Moon ≈ 1/6 Earth, weight of 12 kg object on Moon?
Weight on Moon = 12 × (9.8/6) ≈ 12 × 1.63 ≈
19.6 N(approx). - Q43: If g at surface is 9.8 m/s², what is g at altitude equal to Earth's radius?
At r = 2R, g' = g/4 ≈
9.8/4 = 2.45 m/s². - Q44: An object in orbit moves in a circle; what force keeps it in orbit?
Gravitational force acts as centripetal force keeping it in circular orbit.
- Q45: Why is atmosphere ignored in escape velocity formula?
Escape velocity formula assumes no air resistance and no further propulsion; atmosphere adds drag making required speed larger in practice.
Final Revision Points (Short Answers)
- Q46: What is the relation between gravitational potential energy and distance (qualitative)?
Gravitational potential energy decreases (becomes more negative) as two masses come closer; it varies inversely with distance.
- Q47: If a body is thrown vertically upward, what is acceleration during its motion (neglect air resistance)?
Acceleration is constant and downward equal to −g throughout the motion.
- Q48: How does weight change in a uniformly accelerating elevator moving upward with acceleration a?
Apparent weight increases to
m(g + a). - Q49: How does weight change in an elevator accelerating downwards with acceleration a?
Apparent weight decreases to
m(g − a); becomes zero if a = g (free fall). - Q50: Give one exam tip for this chapter.
Memorise key formulas, practice variation-of-g and orbital problems, and draw neat free-body diagrams for conceptual questions.
Note: These 50 very short questions and answers are crafted strictly as per NCERT-level topics for Class 9 Physics — Chapter 10: Gravitation. Use them for quick revision, flashcards, and last-minute board exam preparation.
