Dimensions of physical quantities

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Question

Let Q denote the charge on the plate of a capacitor of capacitance C. The dimensional formula for $\frac{Q^{2}}{C}$ is $[{ML}^{x} T^{- x}]$ . Find the value of x

Easy

Solution

We know that $\frac{Q^{2}}{2 C}$ is energy of capacitor so it represent the dimension of energy $= [{ML}^{2} T^{- 2}]$

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