AIIMS 2017 Physics Work Done by a Variable Force MCQ Question

Option B, $W = \int_{0}^{2} B_{II} \, dx$, is correct as it represents the work done in a system where $B_{II}$ signifies a specific force or energy density relevant to the context of the problem. The other options are incorrect because option A lacks the specific context of $B_{II}$, while options C and D introduce unnecessary constants and exponential functions that do not align with the standard definition of work done in a physical system. Understanding the integral formulation for work, $W = \int F \, dx$, is crucial for applying it correctly in various scenarios, including those involving variable forces or energy densities.