Question

Distance of neptune and saturn from the sun is nearly 10^13 and 10^12 meters respectively .Assuming that they move in circular orbits their periodic times will be in the ratio

Answer 1

The ratio between T^2 (Neptune) / T^2 (Saturn) is 36.1

Explanation:

By Kepler's law:

T^2 ∝ R^3

Therefore,

T^2 (Neptune) / T^2 (Saturn) = (10^13)^3/(10^12)^3

=> T^2 (Neptune) / T^2 (Saturn) = (10^13/10^12)^3/2

=>  T^2 (Neptune) / T^2 (Saturn) = 31.6/1

Thus the ratio between T^2 (Neptune) / T^2 (Saturn) is 36.1

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