AIIMS 2019 Physics Conservation of Energy MCQ Question

Option C is correct because it accurately reflects the balance of energy in the system, where the total mechanical energy (kinetic and potential) is conserved. The equation simplifies to show that the forces acting on the system, represented by $Kx$ and the inertial terms, lead to the conclusion $Kx = \frac{3}{4}ma$, indicating a relationship between the spring force and the acceleration of the mass. Other options may misrepresent the energy balance or fail to account for the correct coefficients in the equations, leading to incorrect conclusions about the dynamics of the system. Understanding this energy method is crucial for analyzing mechanical systems and their interactions.