AIIMS 2019 Physics Range and Time of Flight MCQ Question

The ratio of maximum range $R$ to the square of the time of flight $T^2$ in projectile motion simplifies to $\frac{R}{T^2} = \frac{g}{2} \cot \theta$, demonstrating the relationship between these two parameters. This result is derived from substituting the formulas for $R$ and $T$ into the ratio, confirming that it holds true for any angle $\theta$. Since option A is the only one provided, it is deemed correct, while other options are not applicable or relevant in this context. Understanding this ratio helps in analyzing projectile motion and its dependence on launch angle and initial velocity.