Two satellite 
and 
of earth are moving in the same orbit. The mass of 
is four times
the mass of 
. Which one of the following statements is true?
is four times that of 
and 
are moving with the same speed. Text Solution
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The satellite of mass m is moving in a circular orbit of radius r.
Kinetic energy of the satellite, 
(i)
Potential energy of the satellite, 
(ii)
Orbital speed of satellite, 
(iii)
Time-period of satellite, 
Given 
Since 
is same for both the satellites 
and 
From equation (ii), we get 
or, 
.
From (iii), since 
is independent of the mass of a satellite, the orbital speed is same for both satellites 
and 
.
Hence option is correct.
From (i), we get 
or, 
Hence option is wrong.
From (iv), since T is independent of the mass of a satellite, time period is same for both the satellites 
and 
.
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