The periodic time of a satellite is 3 hours. If the separation between the earth and the satellite is increased by 4 time its previous value, the new periodic time will be

Options

A. period of rotation of the earth about its own axis
B. period of rotation of the moon about the earth
C. half the period of a geostationary satellite
D. twice the period of rotation of the earth

Answer

A

Explanation

For a satellite `T^(2)prop r^(3)`
`therefore (T_(2)^(2))/(T_(1)^(2))=((4r)^(3))/(4r^(3))=64`
`therefore (T_(2))/(T_(1))=8 " " T_(2)=8T_(1)=8xx3=24` hour
i.e. The period = The period of rotation of the earth about its own axis.