HARD
JEE Advanced
IMPORTANT
Earn 100

For two satellites at distances and above the earth's surface, the ratio of their
(a)total energies is and potential and kinetic energies is
(b)potential energies is
(c)kinetic energies is
(d)total energies is

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Important Questions on Gravitation
HARD
JEE Advanced
IMPORTANT
If both the mass and radius of the earth decrease by , the value of

EASY
JEE Advanced
IMPORTANT
An object is taken from a point to another point in a gravitational field:

HARD
JEE Advanced
IMPORTANT
A small mass is moved slowly from the surface of the earth to a height above the surface. The work done (by an external agent) in doing this is

HARD
JEE Advanced
IMPORTANT
Which of the following are correct?

HARD
JEE Advanced
IMPORTANT
A double star is a system of two stars of masses and , rotating about their centre of mass only under their mutual gravitational attraction. If is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to

HARD
JEE Advanced
IMPORTANT
A tunnel is dug along a chord of the earth at a perpendicular distance from the earth’s centre. The wall of the tunnel may be assumed to be frictionless. A particle is released from one end of the tunnel. The pressing force by the particle on the wall and the acceleration of the particle varies with (distance of the particle from the centre) according to:

HARD
JEE Advanced
IMPORTANT
A double star consists of two stars having masses and . The distance between their centres is equal to . They revolve under their mutual gravitational interaction. Then. which of the following statements are not correct?

HARD
JEE Advanced
IMPORTANT
Two satellites and are revolving around the earth in coplanar concentric orbits in the opposite sense. At , the positions of satellites are shown in the diagram. The periods of and are and , respectively. The radius of orbit of is For this situation, mark the correct statement
