Pick out the longest wavelength from the following types of radiations.

Match List-$I$ (Wavelength range of electromagnetic spectrum) with List-$II$ (Method of production of these waves) and select the correct option from the options given below the lists:

List-$I$	List-$II$
$(1)$ $700\, nm$ to $1\, mm$	$(i)$ Vibration of atoms and molecules
$(2)$ $1\, nm$ to $400\, nm$	$(ii)$ Inner shell electrons in atoms moving from one energy level to a lower level
$(3)$ $< 10^{-3}\, nm$	$(iii)$ Radioactive decay of the nucleus
$(4)$ $1\, mm$ to $0.1\, m$	$(iv)$ Magnetron valve

The frequencies of $X-$rays,$\gamma-$rays and ultraviolet rays are respectively $p, q$ and $r$. Then which of the following is correct?

What is the frequency range of $AM$ radio waves?

If a source of $4 \ kW$ power emits $10^{20}$ photons/second,then this radiation belongs to which part of the electromagnetic spectrum?

In the $E.M.$ spectrum,the $X$-ray region lies between which of the following?