Respuesta :

The correct answer is: D

The correct answer to the question is [tex]T^2\ \alpha\ d^3[/tex].

EXPLANATION:

As per Kepler's third law on planetary motion, the square of time period of rotation of a planet around sun is directly proportional to the cube of semi major axis.This law is also called as harmonic law.

Let us consider a planet which is revolving around sun in an elliptical orbit.

Let R is the semi major axis of this elliptical orbit and T is the time period rotation of the planet around the sun.

As per Kepler's law, time period and semi major axis are related as -

                                [tex]T^2\ \alpha\ R^3[/tex]  

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