Match List-I with List-II

$\mathrm{List-I}\left(\text{Electromagnetic waves}\right)$	$\mathrm{List-II}\left(\text{Wavelength range}\right)$
$\left(A\right)\text{X-rays}$	$\left(I\right)1\mathrm{mm}\mathrm{to}700\mathrm{nm}$
$\left(B\right)\text{Radio waves}$	$\left(\mathrm{II}\right)0.1m\mathrm{to}1\mathrm{mm}$
$\left(C\right)\text{Infrared waves}$	$\left(\mathrm{III}\right)1\mathrm{nm}\mathrm{to}{10}^{-}\mathrm{nm}$
$\left(D\right)\text{Microwaves}$	$\left(\mathrm{IV}\right)\lambda >0.1m$

Choose the correct answer from the options given below:

The correct option is (A)- (III), (B)- (IV), (C)- (I), (D)- (II).

To understand why this match is correct, let us analyze the typical wavelength ranges for each of the given electromagnetic waves:

1. (A) X-rays:
   X-rays are high-energy electromagnetic waves with very short wavelengths. Their typical wavelength range is from about $10\mathrm{nm}$ down to ${10}^{-3}\mathrm{nm}$ (or ${10}^{-12}\mathrm{m}$).
   Therefore, (A) matches with (III) 1 nm to 10^-3 nm.


2. (B) Radio waves:
   Radio waves lie at the long-wavelength end of the electromagnetic spectrum, typically having wavelengths longer than 0.1 meters (10 cm).
   Therefore, (B) matches with (IV) λ > 0.1 m.


3. (C) Infrared waves:
   Infrared waves lie between visible light and microwaves in the spectrum. Their wavelengths range from the red edge of visible light (approx. 700 nm) up to about 1 mm.
   Therefore, (C) matches with (I) 1 mm to 700 nm.


4. (D) Microwaves:
   Microwaves are short-wavelength radio waves, typically ranging in wavelength from about 0.1 m (10 cm) down to 1 mm.
   Therefore, (D) matches with (II) 0.1 m to 1 mm.

Comparing these individual matches with the options, we get:
(A) → (III), (B) → (IV), (C) → (I), (D) → (II)