Gravitation Tes...

A satellite of mass ms revolving in a circular orbit of radius r_s around the earth of mass M, has a total energy E. Then its angular momentum will be

At a given place where, acceleration due to gravity is gm/sec², a sphere of lead of density d kg/metre³ is gently released in a column of liquid of density ρ kg/metre³. If d>ρ, the sphere will

An artificial satellite of mass m is revolving round the earth in an orbit of radius R, the work done in one revolution is

A satellite is circling the earth along a circular orbit of radius R. Which of the following is not true ?

The magnitudes of the gravitational field at distance r₁ and r₂ from the centre of a uniform sphere of radius R and mass M are F₁ and F₂ respectively. Then

The escape velocity on the surface of the earth is 11.2 km/s. What would be the escape velocity on the surface of another planet of the same mass but 1⁄4 times the radius of the earth ?

A solid sphere of uniform density and radius 4 units is located with its centre at the origin O. Two spheres of equal radii 1 unit with their centres at A (–2, 0, 0) and B (2, 0, 0) respectively are taken out of the solid leaving behind cavities as shown in fig. Then

The spherical hole of radius R/2 is made in a solid sphere of radius R. The mass of the sphere before hollowing was M. The gravitational field at the centre O₁ of the hole due to the remaining mass is

A point P lies on the axis of a ring of mass M and radius r, at a distance r from its centre O. A small particle starts from P and reaches O under gravitational attraction only. Its speed at O will be

The masses and radii of the earth and moon are M₁, R₁ and M₂, R₂ respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escapes to infinity is