A satellite is orbiting the earth, if its distance from the earth is increased, its

Options

A. angular velocity would increase
B. linear velocity would increase
C. angular velocity would decrease
D. time period would increase

Answer

C, D

Explanation

Linear velocity or orbital velocity is `v=sqrt(GM//r)` where `r` is the distance of the satellite from the centre of the earth. Therefore `v` decreases as `r` is increased. Also `v=romega`, where `omega` is the angular velocity.
Therefore `omega=v/r=1/rsqrt((GM)/r)=sqrt((GM)/(r^(3)))`
Thus, `omega` decreases with increases in `r`. The time period of the satellite is given by
`T=2pisqrt((r^(3))/(GM))`
Thus, `T` increases as `r` increased. Hence the correct choices are c and d.