The time period of earth taken as T and its distance from sun R.what will be the distance of a certain planet from sun whose time period is 64 times that of earth ?
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T=2pi*root of r^3÷Gm
From here ...we get r=uunderroot T^2Gm÷4*pi^2
Next case:
66t =2pi root R'^3÷Gm
From here
r=cube root 64^2*t^2 Gm÷4pi^2
Therefore .....R' = cuberoot of 64^2 times R
....which is 16
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