Question

Which proportionality does Kepler’s third law describe?

T2 d
T d
T3 d2
T2 d3

Answer 1

The correct answer is: D

Answer 2

The correct answer to the question is
`T^2\ \alpha\ d^3`.

Step-by-step 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 -

`T^2\ \alpha\ R^3`