Gravitation PYQs - Last 10 Years

In a solar system, the time-period of revolution of a planet tracing a circular orbit of radius $R$ is proportional to:

Two planets $P_1$ and $P_2$ with equal mass have radii $R_1$ and $R_2$, respectively, where $R_2=\frac{R_1}{2}$. The escape speeds of $P_1$ and $P_2$ are $v_1$ and $v_2$, respectively. Then $\frac{v_2}{v_1}$ is:

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

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 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?

An object of mass \(100 \mathrm{~kg}\) falls from point \(A\) to \(B\) as shown in figure. The change in its weight, corrected to the nearest integer is (\(R_E\) is the radius of the earth)

The escape velocity for earth is \(v\). A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:

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 \(2 R\) from the surface of the earth is:

The mass of a planet is \(\frac{1}{10}\)th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

If \(\mathrm{R}\) is the radius of the earth and \(\mathrm{g}\) is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be :

The escape velocity of a body on the earth surface is \(11.2 \mathrm{~km} / \mathrm{s}\). If the same body is projected upward with velocity \(22.4 \mathrm{~km} / \mathrm{s}\), the velocity of this body at infinite distance from the centre ...

A satellite is orbiting just above the surface of the earth with period \(T\). If \(d\) is the density of the earth and \(G\) is the universal constant of gravitation, the quantity \(\frac{3 \pi}{G d}\) represents :

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

In a gravitational field, the gravitational potential is given by, \(V = - {K \over x}\) (J/Kg). The gravitational field intensity at point (2, 0, 3) m is

A gravitational field is present in a region and a mass is shifted from A to B through different paths as shown. If W1, W2 and W3 represent the work done by the gravitational force along the respective paths, then :

Match List - I with List - II

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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

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

A body weight 200 N on the surface of earth. How much will it weight half way down to the centre 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, KB 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

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

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