⚡Chapter Practice
Gravitation — JEE Practice
77 practice questions across 4 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.
4 Topics77 Questions
Newton's Law of Gravitation(15 Qs)
easy (5)
medium (5)
Q1Three equal masses m are placed at the vertices of an equilateral triangle of side a. The force on each mass is:Q2The gravitational field inside a uniform solid sphere at distance r from centre (r < R) is:Q3The gravitational field inside a uniform spherical shell is:Q4If the earth stops rotating, the apparent weight at the equator would:Q5Acceleration due to gravity at height h << R from surface is approximately:
hard (5)
Q1A tunnel is drilled through the earth along a chord at distance d from centre. The time period of oscillation of a ball in this tunnel is:Q2The gravitational PE of a system of 4 equal masses m at corners of a square of side a is:Q3Two planets have radii R and 2R, densities ρ and ρ/2. The ratio of g on their surfaces is:Q4The minimum energy needed to move a mass m from Earth surface to infinity is:Q5A satellite orbits at height R above Earth (earth radius R). Its orbital velocity is:
Orbital Mechanics(31 Qs)
easy (10)
Q1The orbital velocity of a satellite near Earth's surface is approximately:Q2A geostationary satellite has a time period of:Q3The escape velocity from Earth is approximately:Q4The relation between escape velocity and orbital velocity is:Q5Total energy of a satellite in orbit is:Q6A geostationary satellite has a time period of:Q7Orbital velocity of a satellite near Earth's surface is approximately:Q8The orbital velocity of a satellite is independent of:Q9A geostationary satellite orbits in the:Q10For a satellite in circular orbit, the relationship between KE and PE is:
medium (11)
Q1Kepler's third law states that T² is proportional to:Q2The total energy of a satellite of mass m orbiting at radius r is:Q3If orbital radius is doubled, the orbital velocity:Q4A satellite in a circular orbit has KE = K. Its PE is:Q5The minimum energy needed to move a satellite from orbit at radius r to orbit at radius 2r is:Q6The radius of a geostationary orbit is approximately:Q7According to Kepler's third law, T² is proportional to:Q8If a satellite orbits at twice the radius of another, the ratio of their time periods is:Q9A satellite in an elliptical orbit has:Q10To shift a satellite to a higher orbit, we must:Q11The total energy of a satellite in a higher orbit compared to a lower orbit is:
hard (10)
Q1A satellite is in a circular orbit of radius r. To transfer to a circular orbit of radius 4r using Hohmann transfer, the velocity increment at first burn is:Q2The maximum height reached by a projectile launched at escape velocity at angle 45° from the surface (ignoring rotation) is:Q3Two satellites of mass m and 2m orbit at same radius. The ratio of their total energies is:Q4A body is projected vertically from Earth with velocity v = v_e/2. The maximum height is:Q5The time period of a satellite at height h from surface in terms of R and g:Q6A satellite has orbital speed v and escape speed from that orbit v_e. The relation is:Q7The maximum and minimum distances of a comet from the Sun are 1.5 × 10¹² m and 5 × 10¹⁰ m. The speed at the closest point is 6 × 10⁴ m/s. The speed at the farthest point is:Q8An astronaut in an orbiting space station feels weightless because:Q9The binding energy of a satellite increases when:Q10A binary star system has two stars of masses m and 3m separated by distance d. Their common revolution period is:
Newton's Law of Gravitation(16 Qs)
easy (5)
medium (6)
Q1Two spheres of masses m and 4m are separated by distance d. The null point (zero net force) for a test mass is at distance from m:Q2If Earth's mass were doubled and radius halved, the value of g would become:Q3The ratio of gravitational acceleration on Moon to Earth is approximately:Q4Gravitational field intensity at a point is defined as:Q5Inside a uniform spherical shell, the gravitational field is:Q6The weight of a body at the center of Earth is:
hard (5)
Q1A tunnel is drilled through Earth along a diameter. A ball dropped into it will:Q2The time period of oscillation through the diametric tunnel is:Q3Two stars of masses M and 4M are at distance d apart. They revolve about their common center of mass. The ratio of their angular velocities is:Q4The gravitational potential energy of a mass m at height h (h << R) above Earth is approximately:Q5A satellite orbits at height h = R above Earth. Its orbital velocity compared to near-surface orbital velocity is:
Gravitational Potential & PE(15 Qs)
easy (5)
medium (5)
Q1The escape velocity from a planet of mass 2M and radius R/2 compared to Earth (mass M, radius R) is:Q2The total energy of a satellite in circular orbit is:Q3If a satellite's speed is increased to √2 times orbital speed, it will:Q4Gravitational potential on the surface of Earth is:Q5The binding energy of a satellite of mass m in orbit of radius r is:
hard (5)
Q1A rocket is launched vertically with speed v = v_e/2. The maximum height reached is:Q2The gravitational self-energy of a uniform sphere of mass M and radius R is:Q3Two spheres of masses m₁ and m₂ are at rest and separated by distance d. Due to mutual gravitation, they meet at a point that divides d in ratio:Q4The minimum energy required to move a mass m from Earth's surface to infinity is:Q5A particle is projected from the surface with speed v = √(gR). The maximum height is:
More Physics Chapters
Need Help with Gravitation?
Get 1-on-1 doubt sessions and personalised practice analysis with our JEE Physics coaching mentors.