A satellite in equatorial plane is rotating in the direction of earth's rotation with time interval between its two consecutive appearence over head of an observer as time period of rotation of the earth, `T_(E)`. What is the time period of the satellite?

Options

A. `T_(E)`
B. `2T_(E)`
C. `(T_(E))/2`
D. `(2T_(E))/3`

Answer

C

Explanation

For observer, `T'=(2pi)/(omega_(S)-omega_(E))=(T_(S)T_(E))/(T_(E)-T_(S))=T_(E)` (given)
or, `T_(E)^(2)=2T_(S)T_(E) implies T_(S)=T_(E)//2`