If $\lambda_v$,$\lambda_x$,and $\lambda_m$ are the wavelengths of visible light,$X$-rays,and microwaves respectively,then which of the following is correct?

Match List-$I$ with List-$II$:

List-$I$ (Electromagnetic waves)	List-$II$ (Wavelength)
$(a)$ $AM$ radio waves	$(i)$ $10^{-10} \, m$
$(b)$ Microwaves	$(ii)$ $10^{2} \, m$
$(c)$ Infrared radiations	$(iii)$ $10^{-2} \, m$
$(d)$ $X$-rays	$(iv)$ $10^{-4} \, m$

Choose the correct answer from the options given below:

The correct match between the entries in column $I$ and column $II$ is:
$I$ (Radiation) | $II$ (Wavelength)
$(a)$ Microwave | $(i)$ $100 \, m$
$(b)$ Gamma rays | $(ii)$ $10^{-15} \, m$
$(c)$ $A.M.$ radio waves | $(iii)$ $10^{-10} \, m$
$(d)$ $X$-rays | $(iv)$ $10^{-3} \, m$

The following table presents parts of the electromagnetic spectrum and their corresponding major applications.

Part of the electromagnetic spectrum	Applications
$P$. Microwave	$I$. For purifying the water
$Q$. $UV$ rays	$II$. For warming the food
$R$. Gamma rays	$III$. For $AM$ and $FM$ communication systems
$S$. Radio wave	$IV$. For treating the cancer cells

The correct option is:

If $\lambda_r$,$\lambda_v$,and $\lambda_x$ are the wavelengths of red light,violet light,and $X$-rays respectively,then which of the following relations is correct?

Consider the following statements regarding the electromagnetic spectrum:
$(A)$ The wavelength of microwaves is greater than that of $UV$ rays.
$(B)$ The wavelength of $IR$ rays is less than that of $UV$ rays.
$(C)$ The wavelength of microwaves is lesser than that of $IR$ rays.
$(D)$ Gamma rays have the shortest wavelength in the electromagnetic spectrum.
Which of the above statements are true?