Given below are two statements: one is labelled as Assertion (A)...

The speed of electromagnetic waves in vacuum is given by the relation $c = \dfrac{1}{\sqrt{\mu_0 \varepsilon_0}}$.

Squaring both sides, we get $c^2 = \dfrac{1}{\mu_0 \varepsilon_0}$, which implies $\mu_0 \varepsilon_0 = \dfrac{1}{c^2}$.

The dimensional formula for the speed of light $c$ is $[\text{LT}^{-1}]$.

Therefore, the dimensional formula for $c^2$ is $[\text{L}^2\text{T}^{-2}]$.

Thus, the dimensional formula for the product $\mu_0 \varepsilon_0$ is $\dfrac{1}{[\text{L}^2\text{T}^{-2}]} = [\text{L}^{-2}\text{T}^2]$.

Hence, Assertion (A) is true. Reason (R) is also true and provides the exact formula needed to derive the dimensions in the Assertion, making it the correct explanation.

Answer: Both (A) and (R) are true and (R) is the correct explanation of (A)