STANDARD Physics Gravitation Class 11 Questions

Which of the following orbits is a possible orbit for a planet?

Kepler's second law is a consequence of

The areal velocity and the angular momentum of the planet are related by which of the following relations? (where mₚ is the mass of the planet)

A planet revolves around the sun in an elliptical orbit. The linear speed of the planet will be maximum at

Figure shows elliptical orbit of a planet P about the sun S. The shaded area SCD is twice the shaded area SAB. If t₁ is the time for the planet to move from C to D and t₂ is the time to move from A to B, then

A geostationary satellite is orbiting the Earth at a height 6R above the surface of Earth, where R is the radius of the Earth. The time period of another satellite at a height of 2.5 R from the surface of Earth in hours is

A saturn year is 29.5 times the Earth year. How far is the saturn from the sun if the Earth 1.5 × 10⁸ km away from the sun?

A planet orbits the sun in an elliptical path as shown in Perihelion the figure. Let v_P and v_A be speed of the planet when at perihelion and aphelion respectively. Which of the following relations is correct?

Which of the following statements is correct regarding the gravitational force?

Match Column I with Column II.

Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be

Three masses each of mass m are placed at the vertices of an equilateral triangle ABC of side l as shown in figure. The force acting on a mass 2m placed at the centroid O of the triangle is

In the previous question, if the mass placed at vertex A is doubled, then the force acting on the mass 2m placed at the centroid O is

The mass of moon is 1% of mass of Earth. The ratio of gravitational pull of Earth on moon and that of moon on Earth will be

Radius of Earth is 6400 km and that of mars is 3200 km. Mass of mars is 0.1 that of Earth's mass. Then the acceleration due to gravity on mars is nearly

A small planet is revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force between the planet and the star were proportional to R⁻⁵/₂, then T would be proportional to

AE is the mass of the Earth and RE its radius, the ratio of the acceleration due to gravity and the gravitational constant is

The acceleration due to gravity g and density of the Earth ρ are related by which of the following relations? (where G is the gravitational constant and Rₑ is the radius of the Earth)

Value of g is

The dependence of acceleration due to gravity g on the distance r from the centre of the Earth assumed to be a sphere of radius R of uniform density is as shown in the figure.

Acceleration due to gravity increases with increasing altitude, depth, latitude, or is independent of the mass of the Earth?

A body hanging from a spring stretches it by 1 cm at the Earth's surface. How much will the same body stretch the spring at a place 1600 km above the Earth's surface? (Radius of the Earth 6400 km)

A body weighs 250 N on the surface of the Earth. How much will it weigh half way down to the centre of the Earth?

A body weighs 72 N on the surface of the Earth. What is the gravitational force on it due to the Earth at a height equal to half the radius of the Earth?

A particle of mass M is situated at the centre of a spherical shell of same mass and radius R. The gravitational potential at a point situated at \( \frac{R}{2} \) distance from the centre will be

Four particles each of mass m are placed at the vertices of a square of side l. The potential energy of the system is

In the previous question, the potential at the centre is

The change in potential energy when a body of mass m is raised to a height nRₑ from Earth's surface is (Rₑ = radius of the Earth)

The escape velocity of a body from the Earth depends on (i) the mass of the body. (ii) the location from where it is projected. (iii) the direction of projection. (iv) the height of the location from where the body is launched.

The escape velocity of 10 g body from the Earth is 11.2 km s⁻¹. Ignoring air resistance, the escape velocity of 10 kg of the iron ball from the Earth will be

The escape speed of any projectile on Earth's surface is 11.2 km/s. A body is projected with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun & other planets.

If vₑ is the escape velocity and v₀ is orbital velocity of a satellite for orbit close to the Earth's surface. Then these are related by

The time period T of the moon of planet mars (mass Mₘ) is related to its orbital radius R as (G = Gravitational constant)

Match Column I with Column II. For a satellite in circular orbit,

A satellite is orbiting the Earth in a circular orbit of radius r. Its

Two satellites of Earth S₁ and S₂ are moving in the same orbit. The mass of S₁ is four times the mass of S₂. Which one of the following statements is true?

Figure shows the variations of energy E with the orbit radius r of a satellite in circular motion. Choose the correct statement.

In motion of an object under the gravitational influence of another object, which of the following quantities is not conserved?

A comet orbits the sun in a highly elliptical orbit. Which of the following quantities remains constant throughout its orbit? (i) Linear speed (ii) Angular speed (iii) Angular momentum (iv) Kinetic energy (v) Potential energy (vi) Total energy

A satellite of mass m is orbiting in a circular orbit of radius 2Rₑ about the Earth. The energy required to transfer it to a circular orbit of radius 4Rₑ is (where Mₑ and Rₑ is the mass and radius of the Earth respectively)

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R₁ to another of radius R₂ (R₂ > R₁) is

For a satellite moving in an orbit around the Earth, the ratio of its potential energy to kinetic energy is

An artificial satellite moving in a circular orbit around the Earth has a total energy E₀. Its potential energy is

The identical spheres of radius R made of the same material are kept at a distance d apart. Then the gravitational attraction between them is proportional to

The gravitational field intensity at a point 10,000 km from the centre of the Earth is 4.8 N kg⁻¹. The gravitational potential at that point is

A satellite is revolving in a circular orbit at a height 'h' from the Earth's surface (radius of Earth R; h << R). The minimum increase in its orbital velocity required, so that the satellite could escape from the Earth's gravitational field, is close to (Neglect the effect of atmosphere.)

An astronaut experiences weightlessness in a space satellite. It is because

Which one of the following plots represents the variation of gravitational field F on a particle with distance r due to a thin spherical shell of radius R? (r is measured from the centre of the spherical shell)

The length of a seconds pendulum on the surfaced earth is 1 m. Its length on the surface of the moon is