Gravitational force and laws

Question

A planet revolves around the sun is an elliptical orbit. The maximum and minimum distances of the planet from the sun are a and b respectively. The time period of revolution of the planet is proportional to

Easy

Solution

According to Kepler's law, the square of the time period is proportional to the cube of the semi-major axis of the ellipse, i.e. ${\mathrm{T}}^{2}\propto {\left(\frac{\mathrm{a}+\mathrm{b}}{2}\right)}^{3}$. So the correct choice is (c).

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