1.

A satellite is orbiting the earth, if its distance from the earth is increased, itsA. angular velocity would increaseB. linear velocity would increaseC. angular velocity would decreaseD. time period would increase

Answer» Correct Answer - C::D
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.


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