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Then ratio of orbital radii of two satel...

Then ratio of orbital radii of two satellites of a planet is `1:2`. what is the ratio of their time period?

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Here, `R_(1)/R_(2)=(1)/(2),T_(1)/T_(2)=?`
According to kepler's third law, `(T_(1)/T_(2))^(2)=(R_(1)/R^(2))^(3)=(1/2)^(3)=(1)/(8)`
`T_(1)/T_(2)=(1)/sqrt8=(1)/(2sqrt2)=sqrt2/(4)=1.414/4`
`T_(1)/T_(2)=0.353`
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