AIIMS 2019 Physics Energy Change MCQ Question

Option B is correct because the calculation of the energy change, ΔU, involves substituting the values into the expression ΔU = TΔA, where T = 0.1 and ΔA is derived from the surface area difference between a sphere of radius 1 and a sphere of radius $R = 2^{1/3}$. The computed surface area difference yields ΔA = 0.41 × 10⁻⁶ m², leading to ΔU = 4π(0.41 × 10⁻⁶) J, which equals approximately 0.52 μJ.

Other options are incorrect as they do not match the calculated value of ΔU; specifically, options A, C, and D either underestimate or overestimate the energy change based on the given parameters and the correct application of the formula. Understanding the relationship between temperature, surface area, and energy change is crucial in thermodynamics, particularly in processes involving conservation of volume.