A planet whose distance from the Sun is 3 A.U.would have an orbital period of how many Earth-years?

Name: A planet whose distance from the Sun is 3 A.U.would have an orbital period of how many Earth-years?
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Quizplus · Accepted Answer

According to Kepler's Third Law, the square of the orbital period (T) is proportional to the cube of the semi-major axis (a) of its orbit. For a planet 3 A.U. from the Sun, $ T^2 = a^3 $, so $ T^2 = 3^3 = 27 $, thus $ T = \sqrt{27} $.

A Planet Whose Distance from the Sun Is 3 A Have