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Question -

A Saturn year is 29.5 times the earth year.How far is the Saturn from the sun if the earth is 1.50 ├Ч108┬аkm away from thesun?



Answer -

Distance of the Earth from the Sun,┬аre┬а= 1.5 ├Ч 108┬аkm = 1.5 ├Ч 1011┬аm

Time period of the Earth =┬аT┬нe

Time period of Saturn,┬аTs┬а= 29. 5┬аTe

Distance of Saturn from the Sun =┬аrs

From KeplerтАЩs third law ofplanetary motion, we have

For Saturn and Sun, we canwrite

Hence, the distance between Saturn and the Sunis

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