Volume 1

A body which is initially at rest at a height R above the surface of the earth of radius R, falls freely towards the earth, then its velocity on reaching the surface of the earth is A body which is initially at rest at a height R above the surface of the earth of radius [...]

The ratio of the energy required to raise a satellite to a height h above the earth surface to that required tom put it into the orbit is : The ratio of the energy required to raise a satellite to a height h above the earth surface to that required tom put it into the [...]

The orbital angular momentum of a satellite revolving at a distance of ′r ′ from the center is ′L ′of the distance is increased to 16r, then the new angular momentum will be The orbital angular momentum of a satellite revolving at a distance of ′r ′ from the center is ′L ′of the distance [...]

Two identical thin rings each of radius R are coaxially placed at a distance R. If the rings have a uniform mass distribution and each has mass m1 and m2 respectively, then the work done in moving a mass m from centre of one ring to that of the other is then the work done [...]

Energy of a satellite in circular orbit is E0. The energy required to move the satellite to a circular orbit of 3 times the radius of the initial orbit is Energy of a satellite in circular orbit is E0. The energy required to move the satellite to a circular orbit of 3 times the radius [...]

A point P (R root3, 0, 0) lies on the axis of a fixed ring of mass M and radius R. The rings is located in the YZ plane with its centre at origin O. A small particle of mass m starts from P and reaches O under gravitational attraction only. Its speed at O [...]

Four equal masses (each of mass M) are placed at the corners of a square of side a. The escape velocity of a body from the centre O of the square is Four equal masses (each of mass M) are placed at the corners of a square of side a. The escape velocity of a [...]

Pertaining to two planets, the ratio of escape velocities from respective surfaces is 1:2 , the ratio of the time period of the same simple pendulum at their respective surfaces is 2:1 (in same order). Then the ratio of their average densities is Pertaining to two planets the ratio of escape velocities from respective surfaces [...]

A body is projected vertically upwards from the surface of the earth with a velocity equal to half of escape velocity of the earth. If R is radius of the earth, maximum height attained by the body from the surface of the earth is A body is projected vertically upwards from the surface of the [...]

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distance R/4 from the centre of sphere. The gravitational force on [...]