Gravitation Tes...

The acceleration due to gravity at a depth d in terms of g the acceleration due to gravity at radius of the earth R_E  is

To find the resultant gravitational force acting on the particle m due to a number of masses we need to use:

Kepler's second law states that the straight line joining a planet to the sun sweeps out equal areas in equal time. This statement is equivalent to which of the following statements?

According to Kepler’s Law of periods, The  _______________ of the time period of revolution of a planet is proportional to the cube of the  ___________ of the ellipse traced out by the planet

According to Kepler’s Law of orbits:

According to Kepler’s Law of areas,

Directions: In the following question, a statement of Assertion is given, followed by a corresponding statement of Reason. Of the statements, mark the correct answer as:
(a) If both assertion and reason are true and the reason is the correct explanation of assertion.
(b) If both assertion and reason are true but the reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If both assertion and reason are false.
Assertion: The acceleration of a body down a rough inclined plane is greater than the acceleration due to gravity.
Reason: The body is able to slide on an inclined plane only when its acceleration is greater than acceleration due to gravity.

If Earth stops rotating, the value of g at the equator will 

In Cavendish’s experiment,

What is the weight of a body at a distance 2r from the centre of Earth if the gravitational potential energy of the body at a distance r from the centre of Earth is U?

The force of attraction due to a hollow spherical shell of uniform density, on a point mass situated inside it, is

What is the magnitude of minimum work to be done to shift a satellite of Earth having mass m from a circular orbit of radius 2R to a higher orbit of radius 3R around Earth?

If Earth suddenly contracts to 1.5% of its present size, without any change in its mass, then how would the value of acceleration due to gravity change?

Suppose that the gravitational force varies inversely as the n^th power of distance. The time period of a planet in a circular orbit of radius 'R' around the sun will be proportional to which of the following?

There are two planets. The ratio of radii of the two planets is K, but the ratio of accelerations due to gravity of both planets is g. What will be the ratio of their escape velocities?

Consider a solid sphere of mass M and radius R. The energy released in forming this solid sphere is  

Directions: The following question has four choices out of which ONLY ONE is correct.

A satellite is revolving round the earth in an orbit of radius r with time period T. If the satellite is revolving round the earth in an orbit of radius r + dr with time peroid T + dT then,?

The acceleration due to gravity at a height h in terms of mass of earth M_E and radius of the earth R_E and gravitational constant G is

The direction of the universal gravitational force between particles of masses m₁ and m₂ is:

A body is projected vertically upwards from the surface of the Earth with a velocity sufficient to carry it to infinity. Calculate the time taken by it to reach height h.

Earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of Earth. The escape velocity of a body from this platform is fv_e, where v_e is its escape velocity from the surface of Earth. The value of f is

A thin wire of length L and mass M is bent to form a semicircle. What is the magnitude of gravitational field at the centre?

An asteroid of mass 'm' is approaching Earth, initially at a distance of 10R_e with speed 'v_i'. It hits the Earth with a speed of 'v_f' (R_e and Me are radius and mass of Earth, respectively). In this case,

The value of the gravitational constant G is