Gravitation — practice questions
121 curated practice questions from Gravitation (Physics JEE Advanced, NTA Exams) — 97 hard, 24 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.
- A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to F 1 on a particle…
- A binary star system consists of two stars A and B which have time periods T A and T B , radii R A and R B and masses M…
- For two satellites at distance R and 7R above the earth’s surface, the ratio of their
- The distance of the centres of moon and earth is D. The mass of earth is 81 times the mass of the moon. At what…
- P is a point at a distance r from the centre of a spherical shell of mass M and radius a, where r < a. The…
- The satellites when launched from earth are not given the orbital velocity initially, in practice, a multi-stage rocket…
- Four identical point masses each equal to m are placed at the corners of a square of side a. The force on a point mass…
- An artificial satellite moving in a circular orbit around the earth has total (kinetic + potential) energy E 0 . Its…
- In the graph shown, the PE of earth-satellite system is shown by solid line as a function of distance r (the separation…
- Statement - 1: Two particles are to be projected from the surface of earth so that particles just leave the…
- The following figure shows two shells of masses m 1 and m 2 . The shells are concentric. At which point, a particle of…
- The depth d at which the value of acceleration due to gravity becomes 1 n times the value at the surface, is [R =…
- The ratio of the radii of planets A and B is k 1 and ratio of acceleration due to gravity on them is k 2 . The ratio of…
- If the radius of the earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity…
- The satellites when launched from earth are not given the orbital velocity initially, in practice, a multi-stage rocket…
- The satellites when launched from earth are not given the orbital velocity initially, in practice, a multi-stage rocket…
- In the graph shown, the PE of earth-satellite system is shown by solid line as a function of distance r (the separation…
- Assertion: Generally, the path of a projectile from the earth is parabolic but it is elliptical for projectiles going…
- A solid sphere of uniform density and radius 4 units is located with its centre at the origin O of coordinates. Two…
- Assertion: If earth suddenly stops rotating about its axis, then the value of acceleration due to gravity will become…
- The satellites when launched from earth are not given the orbital velocity initially, in practice, a multi-stage rocket…
- Assertion: We cannot move even a finger without disturbing all the stars. Reason: Everybody in this universe attracts…
- Assertion: The time period of revolution of a satellite close to surface of earth is smaller than that revolving away…
- The magnitudes of the gravitational field at distance r 1 and r 2 from the centre of a uniform sphere of radius R and…
- Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on…
- The mass of the moon is about 1.2% of the mass of the earth. Compared to the gravitational force the earth exerts on…
- Which of the following statements is/are true about the gravitational constant G?
- Three particles each of mass 100 gm are brought from a very large distance to the vertices of an equilateral triangle…
- A satellite is moving with a constant speed V in a circular orbit about the earth. An object of mass m is ejected from…
- The magnitudes of the gravitational field at distances r 1 and r 2 from the centre of a uniform sphere of radius R and…
- A person sitting in a chair in a satellite feels weightless because
- The minimum and maximum distances of a satellite from the centre of the earth are 2R and 4R, respectively, where R is…
- A thin uniform annular disc (see figure) of mass M has outer radius 4 R and inner radius 3 R . The work required to…
- Statement - 1: Escape velocity is independent of the angle of projection. Statement - 2: Escape velocity from the…
- There are two bodies of same material of masses 10 3 kg and 10 5 kg separated by a distance of 1 km. At what distance…
- A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P…
- Four particles, each of mass M move along a circle of radius R under the action of their mutual gravitational…
- Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution…
- The minimum and maximum distances of a satellite from the centre of the earth are 2R and 4R, respectively, where R is…
- A rocket is launched normal to the surface of the Earth, away from the Sun, along the line joining the Sun and the…
- A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to…
- If the distance between two masses is doubled, the gravitational attraction between them
- What impulse need to be given to a body of mass m, released from the surface of earth along a straight tunnel passing…
- In some region, the gravitational field is zero. The gravitational potential in this region
- The satellites when launched from earth are not given the orbital velocity initially, in practice, a multi-stage rocket…
- In the graph shown, the PE of earth-satellite system is shown by solid line as a function of distance r (the separation…
- Two satellites P and Q are moving in different circular orbits around the Earth (radius R ). The heights of P and Q…
- The figure shows the motion of a planet around the sun in an elliptical orbit with sun at the focus. The shaded areas A…
- At what distance from the centre of the earth, the value of acceleration due to gravity g will be half that on the…
- The earth E moves in an elliptical orbit with the sun S at one of the foci as shown in figure. Its speed of motion will…
- The change in potential energy, when a body of mass m is raised to a height nR from the earth’s surface is ( R = Radius…
- Consider a spherical gaseous cloud of mass density ρ( r ) in free space where r is the radial distance from its center…
- A satellite is orbiting the earth in a circular orbit of radius r. Its
- If orbital velocity of planet is given by v = G a M b R c , then
- A spherical shell is cut into two pieces along a chord as shown in the figure. P is a point on the plane of the chord…
- Statement - 1: Gravitational potential is zero inside a shell. Statement - 2: Gravitational potential is equal to the…
- At what height above the earth’s surface is the acceleration due to gravity 1% less than its value at the surface? [R =…
- Two satellites of same mass are launched in the same orbit of radius r around the earth so as to rotate opposite to…
- An iron ball and a wooden ball of the same radius are released from a height ‘ h ’ in vacuum. The time taken by both of…
- A satellite is moving around the earth with speed v in a circular orbit of radius r . If the orbit radius is decreased…
- The gravitational force between two objects does not depend on
- A solid sphere of radius R/2 is cut out of a solid sphere of radius R such that the spherical cavity so formed touches…
- A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to…
- At what height above the earth’s surface does the acceleration due to gravity fall to 1% of its value at the earth’s…
- Energy required in moving a body of mass m from a distance 2R to 3R from centre of earth of mass M is
- Statement-1: A spherically symmetric shell produces no gravitational field anywhere. Statement-2: The field due to…
- If the distance between the earth and the sun were half its present value, the number of day in a year would have been
- Two concentric shells of mass M 1 and M 2 are having radii r 1 and r 2 . Which of the following is the correct…
- The escape velocity for the earth is 11.2 km / sec . The mass of another planet is 100 times that of the earth and its…
- The satellites when launched from earth are not given the orbital velocity initially, in practice, a multi-stage rocket…
- A person brings a mass of 1 kg from infinity to a point A. Initially the mass was at rest but it moves with a speed of…
- Two identical thin uniform rods of mass m and length L are placed as shown in figure. The gravitational interaction…
- Inside a satellite orbiting very close to the earth’s surface, water does not fall out of a glass when it is inverted…
- The gravitational force between two stones of mass 1 kg each separated by a distance of 1 metre in vacuum is
- Two bodies, each of mass M , are kept fixed with a separation 2 L . A particle of mass m is projected from the midpoint…
- If g is the acceleration due to gravity on the earth’s surface, the gain in the potential energy of an object of mass m…
- The gravitational potential due to the earth at infinite distance from it is zero. Let the gravitational potential at a…
- Statement - 1: For a satellite revolving very near to earth’s surface the time period of revolution is given by 1 hour…
- If a small part separates from an orbiting satellite, the part will
- A geo-stationary satellite orbits around the earth in a circular orbit of radius 36,000 km. Then, the time period of a…
- If W 1 , W 2 and W 3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3…
- At what depth below the surface of the earth acceleration due to gravity will be half its value at 1600 km above the…
- The magnitude of gravitational potential energy of a body at a distance r from the centre of earth is u. Its weight at…
- Two satellites of masses m 1 and m 2 (m 1 > m 2 ) are revolving round the earth in circular orbits of radius r 1 and r…
- Two planets have the same average density, but their radii are R 1 and R 2 . If acceleration due to gravity at surface…
- The escape velocity for a body projected vertically upwards from the surface of the earth is 11.2 km s -1 . If the body…
- Assertion: Orbital velocity of a satellite is greater than its escape velocity. Reason: Orbit of a satellite is within…
- If v e and v 0 represent the escape velocity and orbital velocity, respectively, of a satellite corresponding to a…
- A solid sphere of uniform density and mass M has radius 4 m. Its centre is at the origin of the coordinate system. Two…
- The rotation of the earth about its axis speeds up such that a man on the equator becomes weightless. In such a…
- Two satellite A and B go round a planet P in circular orbits having radii 4R and R respectively. If the speed of the…
- Consider a planet moving in an elliptical orbit around the sun. The work done on the planet by the gravitational force…
- A particle of mass m is placed inside a spherical shell, away from its centre. The mass of the shell is M.
- Statement-1 : An astronaut in an orbiting space station above the Earth experiences weightlessness. Statement-2 : An…
- A planet of radius R= 1 10 imes( ext radius of Earth ) has the same mass density as Earth. Scientists dig a well of…
- A satellite whose mass is m , is revolving in circular orbit of radius r around the earth. Time of revolution of…
- A spring balance is graduated on sea level. If a body is weighed with this balance at consecutively increasing heights…
- An object weights 72 N on earth’s surface. Its weight at a height of R /2 from earth is
- Gravitational field at the centre of a semicircle formed by a thin wire AB of mass m and length l is:
- The satellites when launched from earth are not given the orbital velocity initially, in practice, a multi-stage rocket…
- The value of the acceleration due to gravity g on earth depends upon
- Suppose a vertical tunnel is dug along the diameter of earth assumed to be a sphere of uniform mass having density . If…
- A comet is revolving around the sun in a highly elliptical orbit. Which of the following will remain constant…
- A uniform ring of mass m and radius r is placed directly above a uniform sphere of mass M and of equal radius. The…
- An astronaut, inside an earth satellite, experiences weightless- ness because
- An object is taken from a point P to another point Q in a gravitational field
- For a satellite escape velocity is 11 km / s . If the satellite is launched at an angle of 60° with the vertical, then…
- The distances of two satellites from the surface of the earth are R and 7R. Their time periods of rotation are in the…
- P is a point at a distance r from the centre of a solid sphere of radius a. The gravitational potential at P is V. If V…
- If the radius of the earth suddenly decreases to 80% of its present value, the mass of the earth remaining the same…
- A simple pendulum has a time period T 1 when on the earth’s surface, and T 2 when taken to a height R above the earth’s…
- A particle of mass m is under the influence of the gravitational field of a body of mass M (>> m ). The particle is…
- Four particles of masses m, 2m, 3m and 4m are kept in sequence at the corners of a square of side a. The magnitude of…
- Statement-1: Rate of change of weight near the earth’s surface with height h is proportional to h^ 0 . Statement-2…
- Three identical point masses, each of mass 1 kg lie in the x-y plane at points (0, 0), (0, 0.2m) and (0.2m, 0). The net…
- A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass and…
- Two bodies of masses m and M are placed a distance d apart. The gravitational potential at the position where the…
- A spherically symmetric gravitational system of particles has a mass density = array c _ 0 for r R 0 for r>R array …
- Two rings having masses M and 2M, respectively, having same radius are placed coaxially as shown in figure. If the mass…
- Let V and E denote the gravitational potential and gravitational field at a point. It is possible to have
- Two spherical planets P and Q have the same uniform density r , masses M P and M Q , and surface areas A and 4 A …