AIIMS 2019 Physics Capacitance MCQ Question

The dimension of capacitance (C) is derived from the formula $C = \frac{Q}{V}$, where $Q$ is charge (dimension $A \cdot T$) and $V$ is voltage (dimension $M \cdot L^{2} \cdot A^{-1} \cdot T^{-3}$). Thus, the dimension of capacitance can be calculated as $C = \frac{A \cdot T}{M \cdot L^{2} \cdot A^{-1} \cdot T^{-3}} = M^{-1}L^{-1}A^{2}T^{4}$, which corresponds to option C.

Option A is incorrect because it does not match the derived dimensions, while option B has incorrect powers of mass and charge. Option D also does not align with the correct dimensional analysis of capacitance.