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A communication earth satellite which takes 24 hours to complete one circular orbit eventually has to be replaced by another satellite which has twice the mass of the first. If the new satellite is also to have an orbital period of 24 hours, what is the ratio of radius of the new orbit to the radius of the original orbit?

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1:1

$\sqrt{2} : 1$

2:1

1 : 2

answer is A.

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Detailed Solution

Orbital period depends on radius of the orbit ( $T^{2} \propto R^{3}$ ) and is independent of mass of the satellite.

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