The range of wavelength for ultraviolet is from . . . . . . .

Match List $I$ with List $II$ of electromagnetic waves with their corresponding wavelength ranges:

List $I$	List $II$
$(A)$ Microwave	$(I)$ $400\,nm$ to $1\,nm$
$(B)$ Ultraviolet	$(II)$ $1\,nm$ to $10^{-3}\,nm$
$(C)$ $X$-Ray	$(III)$ $1\,mm$ to $700\,nm$
$(D)$ Infra-red	$(IV)$ $0.1\,m$ to $1\,mm$

Choose the correct answer from the options given below:

The frequencies of $X$-rays,$\gamma$-rays,and ultraviolet rays are $a, b$,and $c$ respectively. Which of the following relations is correct?

Which of the following electromagnetic radiations has the smallest wavelength?

What is the correct order of frequency for $\gamma-$ rays $(b)$,$X-$ rays $(a)$,and $UV-$ rays $(c)$?

$A$ monochromatic source of light operating at $15 \text{ kW}$ emits $2.5 \times 10^{22} \text{ photons/s}$. The region of an electromagnetic spectrum to which the emitted electromagnetic radiation belongs to . . . . . . . (Take $h = 6.6 \times 10^{-34} \text{ J}\cdot\text{s}$ and $c = 3 \times 10^8 \text{ m/s}$).