AIIMS 2018 Physics Force and Acceleration MCQ Question

The calculation provided in the question contains a fundamental error in the interpretation of the masses and the application of Newton's second law. Given that $m_1 = 1 \, \text{kg}$ and $m_2 = 6 \, \text{kg}$, the total mass $(m_1 + m_2)$ is $7 \, \text{kg}$, leading to an acceleration $a = \frac{F}{m_1 + m_2} = \frac{6 \, \text{N}}{7 \, \text{kg}} \approx 0.857 \, \text{m/s}^2$, not $12 \, \text{m/s}^2$. Since the calculated acceleration is incorrect, option D is the only valid choice, while the other options are not applicable as they do not provide correct or relevant information. Understanding the correct application of forces and mass is crucial in solving problems related to Newton's laws of motion.