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1.
In the following four periods
(i) Time of revolution of a satellite just above the earth's surface
(ii) Period of oscillation of mass inside the tunnel bored along the diameter of the earth
(iii) Period of simple pendulum having a length equal to the earth's radius in a uniform field of
(iv) Period of an infinite length simple pendulum in the earth's real gravitational filed
(i) Time of revolution of a satellite just above the earth's surface
(ii) Period of oscillation of mass inside the tunnel bored along the diameter of the earth
(iii) Period of simple pendulum having a length equal to the earth's radius in a uniform field of
(iv) Period of an infinite length simple pendulum in the earth's real gravitational filed
2.
The height from the earth surface at which the value of acceleration due to gravity reduces to 
of its value at earth's surface (assume earth to be sphere of radius 
)
of its value at earth's surface (assume earth to be sphere of radius )
3.
A space ship moves from earth to moon and back. The greatest energy required for the space ship is to overcome the difficulty in
4.
If the mass of earth is 80 times of that of a planet and diameter is double that of planet and 
on earth is 
, then the value of on that planet is
on earth is , then the value of on that planet is
5.
An iron ball and a wooden ball of the same radius are released from a height 
in vacuum. The time taken by both of them to reach the ground is
in vacuum. The time taken by both of them to reach the ground is