AIIMS 2019 Physics Work-Energy Theorem MCQ Question

Option C correctly calculates the spring constant $k$ using the relationship $k = 2mg$, where $m = 0.25 \, \text{kg}$ and $g = 10 \, \text{m/s}^2$. This gives $k = 2 \times 0.25 \times 10 = 5 \, \text{N/m}$, which aligns with Hooke's Law for springs.

Option A is incorrect because it does not apply the work-energy theorem correctly, as it lacks the context of forces acting on the block. Option B misrepresents the work done by gravity and the potential energy stored in the spring, failing to equate them properly. Option D incorrectly sums the normal force $N$ without considering the correct equilibrium conditions and the net forces acting on the block.