AIIMS 2019 Physics Bernoulli's Principle MCQ Question

Option B, $P_1 - P_2 = \frac{1}{2} (v_2^2 - v_1^2)$, is correct because it represents the Bernoulli's principle, which states that the difference in pressure between two points in a fluid flow is equal to the change in kinetic energy per unit volume. This equation effectively relates the pressures and velocities at two different points in a streamline flow, allowing for the analysis of energy conservation in fluid dynamics.

Option A is incorrect as it does not account for the pressure difference but rather equates total mechanical energy, while Option C incorrectly applies the kinetic energy formula without considering the pressure terms. Thus, only option B accurately reflects the relationship between pressure and velocity changes in a flowing fluid.