AIIMS 2019 Physics Forces MCQ Question

Option A is correct because it accurately substitutes the values into the force expression $F = \frac{2a}{r^3} - \frac{b}{r^2}$ using $a = 2$ and $r = \frac{3}{2}$, resulting in $F_{\text{max}} = \frac{2 \times 2}{(3/2)^3} - \frac{4}{(3/2)^2}$.

Option B incorrectly calculates the values by not following the correct substitution process, leading to a different expression for $F_{\text{max}}$. Option C presents a numerical result that does not match the calculations derived from the given force expression, while option D is irrelevant since option A is indeed valid. Understanding how to substitute values into force equations is crucial for solving problems in classical mechanics.