Chapter 10 – Gravitation

A satellite is revolving round the earth with orbital speed v0. If it is imagined to stop suddenly, the speed with which it will strike the surface of the earth would be (ve = escape speed of a body from earth’s surface) A satellite is revolving round the earth with orbital speed v0. If it [...]

Two spheres of masses m and 2m are separated by distance d. A particle of mass m5 is projected straight from 2m towards m with a velocity v0. Which of the following statements is correct ? Two spheres of masses m and 2m are separated by distance d. A particle of mass m5 is projected [...]

Let E be the energy required to raise a satellite to height h above earth’s surface and E’ be the energy required to put the same satellite into orbit at that height. Then E/E’ is equal to Let E be the energy required to raise a satellite to height h above earth's surface and E' [...]

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 [...]