RE-NEET 2026 Physics Kepler's Laws MCQ Question

The time period $T$ of a planet in a circular orbit is given by Kepler's Third Law, which states that $T^2$ is proportional to $R^3$. Therefore, we can express this relationship as:

$T^2 \propto R^3$

Taking the square root of both sides, we find:

$T \propto R^{3/2}$

This shows that the time period $T$ is proportional to $R^{3/2}$. The other options fail because they do not align with this established relationship; for instance, $R^2$ and $R^3$ suggest different dependencies that do not match the observed behavior of planetary motion.