1)

A planet revolves in an elliptical orbit around the sun. The semi-major and semi-minor axes are a and b. Then the square of time period T is directly proportional to


A) $a^{3}$

B) $b^{3}$

C) $\left(\frac{a + b}{2}\right)^3$

D) $\left(\frac{a - b}{2}\right)^3$

Answer:

Option A

Explanation:

The square of the period of the planet is directly proportional to the cube of the semi-major axis of the elliptical orbit.

T2 $\propto$ a3