Match List I with List II :

	LIST I EM-Wave		LIST II Wavelength Range
A.	Infra-red	I.	$<10^{-3}$ nm
B.	Ultraviolet	II.	400 nm to 1 nm
C.	X-rays	III.	1 mm to 700 nm
D.	Gamma rays	IV.	1 nm to $10^{-3}$ nm

Choose the correct answer from the options given below :

<p>To match the given List I (EM-Wave) with List II (Wavelength Range), we need to understand the typical wavelength ranges associated with each type of electromagnetic (EM) wave mentioned in List I.</p> <p>Here's the matching based on known wavelength ranges:</p> <ul> <li><strong>Infra-red</strong>: Infrared radiation lies between the visible and microwave portions of the electromagnetic spectrum. The wavelength range for infrared is typically from about 700 nm (nanometers) to 1 mm (millimeter), which means it matches with option (III) - 1 mm to 700 nm.</li><br> <li><strong>Ultraviolet</strong>: Ultraviolet (UV) light sits between visible light and X-rays along the electromagnetic spectrum, with wavelengths shorter than visible light but longer than X-rays. The typical wavelength range for UV light is from 400 nm down to 10 nm, so it matches with option (II) - 400 nm to 1 nm (even though the strict lower bound should be 10 nm, this is the closest option provided).</li><br> <li><strong>X-rays</strong>: X-rays have a wavelength range shorter than UV rays and longer than gamma rays, typically ranging from 10 nm down to 0.01 nm (or $10^{-2}$ nm). Thus, X-rays match with option (IV) - 1 nm to $10^{-3}$ nm, as this is the closest range provided that fits the typical scope of X-ray wavelengths.</li><br> <li><strong>Gamma rays</strong>: Gamma rays have the shortest wavelength on the electromagnetic spectrum, with wavelength less than 10 picometers (pm), which equates to less than $10^{-3}$ nm. This corresponds to option (I) - $<10^{-3}$ nm.</li> </ul> <p>So, based on the above analysis, the correct option for the matching would be:</p> <ul> <li>(A)-(III)</li><br> <li>(B)-(II)</li><br> <li>(C)-(IV)</li><br> <li>(D)-(I)</li> </ul> <p>Therefore, the correct answer is Option B: (A)-(III), (B)-(II), (C)-(IV), (D)-(I).</p>