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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 |
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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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