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1.
Radius of orbit of satellite of earth is 
. Its kinetic energy is proportional to
. Its kinetic energy is proportional to
2.
A satellite is to revolve round the earth in a circle of radius 
. The speed at which this satellite be projected into an orbit, will be
. The speed at which this satellite be projected into an orbit, will be
3.
Time speed of revolution of a nearest satellite around a planet of radius is 
. Period of revolution around another planet, whose radius is 
but having same density is
is . Period of revolution around another planet, whose radius is but having same density is
4.
The acceleration due to gravity increase by 0.5 % when we go from the equator to the poles. What will be the time period of the pendulum at the equator which beats seconds at the poles?
5.
Two identical thin rings each of radius are coaxially placed at a distance . If the rings have a uniform mass distribution and each has mass 
and 
respectively, then the work done in moving a mass 
from centre of one ring to that of the other is
are coaxially placed at a distance . If the rings have a uniform mass distribution and each has mass and respectively, then the work done in moving a mass from centre of one ring to that of the other is
6.
Kepler's second law regarding constancy of aerial velocity of a planet is consequence of the law of conservation of
7.
The periodic time of a communication satellite is
8.
The curves for potential energy 
and kinetic energy 
of a two particle system are shown in figure. At what points the system will be bound
and kinetic energy of a two particle system are shown in figure. At what points the system will be bound
9.
The acceleration of a body due to the attraction of the earth (radius ) at a distance 
from the surface of the earth is (
= acceleration due to gravity at the surface of the earth)
) at a distance from the surface of the earth is ( = acceleration due to gravity at the surface of the earth)
10.
Two equal mass and are hung from balance whose scale pans differ in vertical height by 
. Calculate the error in weighing. If any, in terms of density of earth 
.
and are hung from balance whose scale pans differ in vertical height by . Calculate the error in weighing. If any, in terms of density of earth .