To solve this problem, we need to match the electromagnetic waves with their corresponding wavelengths.$\\$Let's analyze each type of electromagnetic wave:$\\$• Am radio waves:$\\$These waves typically have wavelengths in the range of hundreds of meters.$\\$Therefore, the correct match is $10^2$ m.$\\$• Microwaves:$\\$Microwaves have wavelengths ranging from about 1 mm to 1 m.$\\$Thus, the correct match is $10^{-2}$ m.$\\$• Infrared radiations:$\\$Infrared wavelengths range from about 700 nm to 1 mm, which is around $10^{-4}$ m.$\\$• X-rays:$\\$X-rays have very short wavelengths, typically in the range of $10^{-10}$ m.$\\$Now, let's match these with the given options:$\\$Option 4:$\\ (a) \rightarrow (ii),$ Am radio waves $\rightarrow 10^2$ m$\\ (b) \rightarrow (iii),$ Microwaves $\rightarrow 10^{-2}$ m$\\ (c) \rightarrow (iv),$ Infrared radiations $\rightarrow 10^{-4}$ m$\\ (d) \rightarrow (i),$ X-rays $\rightarrow 10^{-10}$ m$\\$Therefore, the correct option is Option 4.