AIIMS 2019 Physics Horizontal Range MCQ Question

The calculation of the horizontal range of the water stream is based on the derived formula $\text{Horizontal range} = 2\sqrt{(H - h)h}$, where $H$ is the initial height and $h$ is the height at which the stream is measured. Substituting $H = 1$ m and $h = 0.25$ m yields a range of $0.866$ m, confirming that the derived value aligns with the physics of projectile motion. Since the other options are not provided with any numerical values or context, they cannot be considered correct or relevant to the question. This exercise illustrates the application of kinematic equations in determining the trajectory of a fluid under the influence of gravity, emphasizing the importance of understanding the relationship between height, time, and horizontal distance in projectile motion.