The distance of neptune and saturn from su

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The distance of neptune and saturn from sun are nearly ${10^{13}}$ and ${10^{12}}$ meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio

A

$\sqrt {10} $

B

$100$

C

$10\sqrt {10} $

D

$1/\sqrt {10} $

The distance of neptune and saturn from sun are nearly ${10^{13}}$ and ${10^{12}}$ meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio

$\frac{{{T_1}}}{{{T_2}}} = {\left( {\frac{{{R_1}}}{{{R_2}}}} \right)^{3/2}} $

$= {\left( {\frac{{{{10}^{13}}}}{{{{10}^{12}}}}} \right)^{3/2}}$

$= {(1000)^{1/2}}$

$ = 10\sqrt {10} $