NEET Physics Gravitation Class 11 Questions

Which of the following options are correct?

If a graph is plotted between T² and r³ for a planet, then its slope will be (where Ms is the mass of the sun)

Two planets A and B of radii R and 1.5 R have densities ρ and ρ/2 respectively. The ratio of acceleration due to gravity at the surface of B to A is :

The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface of earth will be : (Radius of earth = 6400 km)

The distance of Neptune and Saturn from the sun is nearly 10¹³ and 10¹² meter respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio

The escape velocity of a planet having mass 6 times and radius 2 times as that of earth is

Inside a uniform spherical shell :

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

The acceleration due to gravity at a height 1 km above the Earth is the same as at a depth d below the surface of Earth. Then

Initially a satellite of 100 kg is in a circular orbit of radius 1.5Rₑ. This satellite can be moved to a circular orbit of radius 3Rₑ by supplying 9 × 10⁶ J of energy. The value of Rₑ is _______. (Take Radius of Earth Rₑ = 6 × 10⁶ m and g = 10 m/s²)

The ratio of accelerations due to gravity g₁: g₂ on the surface of two planets is 5: 2 and the ratio of their respective average densities ρ₁: ρ₂ is 2: 1. What is the ratio of respective escape velocities v₁ / v₂ from the surface of the planets?

If V is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere 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

Two planets of radii in the ratio of 2 : 3 are made from the matter the densities of which are in the ratio of 3 : 2 The ratio of acceleration due to gravity g₁:g₂ at the surface of the two planets will be:-

Statement – I: 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 2 m placed at the centroid O of the triangle is zero. Statement – II: If the mass placed at vertex A is doubled, then the force acting on the mass 2m placed at the centroid O is 6Gm²/l².

Assertion: The gravitational force is dominating force in nature. Reason: The Coulomb force is weaker than the gravitational force.

Find potential energy of chain of mass M placed on hemispherical surface of radius R

The amount of work done to raise a mass 'm' from the surface of the Earth to a height equal to the radius of the Earth 'R' will be

The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 year on Mercury ?

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is :

The mass of a planet is ¹⁄₁₀th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

The minimum energy required to launch a satellite of mass m from the surface of earth of mass M and radius R in a circular orbit at an altitude of 2R from the surface of the earth is:

Two bodies of mass <em>m</em> and 9<em>m</em> are placed at a distance <em>R</em>. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be (<em>G</em> = gravitational constant):

A satellite is orbiting just above the surface of the earth with period <em>T</em>. If <em>d</em> is the density of the earth and <em>G</em> is the universal constant of gravitation, the quantity <span style="display:inline-flex;flex-direction:column;align-items:center;vertical-align:middle;margin:0 2px;"><span style="border-bottom:1px solid currentColor;padding:0 2px;">3π</span><span style="padding:0 2px;"><em>Gd</em></span></span> represents:

A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity at that point is:

The escape velocity from the Earth’s surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is :

A particle of mass 'm' is projected with a velocity v = kVₑ(k < 1) from the surface of the earth. (Vₑ = escape velocity) The maximum height above the surface reached by the particle is:

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

The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is:

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are Kₐ, Kᵦ and Kc, respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then

Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will:

Which of the following statements are correct? (A) Centre of mass of a body always coincides with the centre of gravity of the body. (B) Centre of mass of a body is the point at which the total gravitational torque on the body is zero. ( (C) A couple on a body produce both translational and rotational motion in a body. (D) Mechanical advantage greater than one means that small effort can be used to lift a large load.

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then:

The ratio of escape velocity at earth (ve) to the escape velocity at a planet (vp) whose radius and mean density are twice as that of earth is

At what height from the surface of earth the gravitation potential and the value of g are –5.4 × 10⁷ J kg⁻¹ and 6.0 m s⁻² respectively? Take the radius of earth as 6400 km

Kepler's third law states that square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet i.e., T² = Kr³ here K is constant. If the masses of sun and planet are M and m respectively then as per Newton's law of gravitation force of attraction between them is F = GMm/r², here G is gravitational constant. The relation between G and K is described as

Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 × 10²⁴ kg) have to be compressed to be a black hole?

Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by

The radius of a planet is twice the radius of Earth. Both have equal average mass densities. If Vₚ and Vₑ are escape velocities of the planet and the Earth, respectively, then:

A particle of mass 'm' is kept at rest at a height 3R from the surface of Earth, where 'R' is radius of Earth and 'M' is mass of Earth. The minimum speed with which it should be projected, so that it does not return back, is (g is acceleration due to gravity on the surface of Earth):