Question

Electromagnetic waves with wavelength
(i) ${\lambda _1}$ Is used in satellite communication
(ii) ${\lambda _2}$ is used to kill germs in water purifiers
(iii) ${\lambda _3}$ is used to detect leakage of oil in underground pipelines
(iv) ${\lambda _4}$ is used to improve visibility in runways during fog and mist conditions
Arrange these wavelengths in ascending order of their magnitude

Answer 1

In order to solve this question, we are going to mix and match the given uses of the different kinds of radiations above with the name of the radiation and then arrange the radiations according to their wavelengths in the ascending orders, then the corresponding wavelengths given in the question are arranged.
The x-rays, infrared rays, microwaves, and ultraviolet rays in ascending order of their magnitudes of the wavelengths is
$Wavelength{\text{ }}of{\text{ }}x - rays{\text{ }} < {\text{ }}wavelength{\text{ }}of{\text{ }}UV{\text{ }} < {\text{ }}wavelength{\text{ }}of{\text{ }}infrared{\text{ }} < {\text{ }}wavelength{\text{ }}of{\text{ }}microwave\;$

Complete step by step solution:
(i) In satellite communication, microwaves are used widely. So, ${\lambda _1}$ has to be a wavelength in the range of a microwave.
(ii) In water purifiers, UV rays are used in order to kill the germs, that is why the wavelength ${\lambda _2}$ is a wavelength in the range of Ultraviolet rays.
(iii) X-rays are used to detect the leakage of oil in underground pipelines, thus ${\lambda _3}$ is the wavelength in the range of X-rays.
(iv)Infrared rays are the rays which are used to clear the visibility of the runways during fog and mist conditions, thus ${\lambda _4}$ lies in the range of infrared rays
Now, the x-rays, infrared rays, microwaves, and ultraviolet rays in ascending order of their magnitudes of the wavelengths is
$Wavelength{\text{ }}of{\text{ }}x - rays{\text{ }} < {\text{ }}wavelength{\text{ }}of{\text{ }}UV{\text{ }} < {\text{ }}wavelength{\text{ }}of{\text{ }}infrared{\text{ }} < {\text{ }}wavelength{\text{ }}of{\text{ }}microwave\;$ Thus, the answer is
${\lambda _3} < {\text{ }}{\lambda _2}{\text{ }} < {\text{ }}{\lambda _4}{\text{ }} < {\text{ }}{\lambda _1}$

Note:
Following are the radiations above and their uses in tabular form

Radiation	Uses
$\gamma$ rays	Gives information on nuclear structure, used for medical treatment, etc
$X -$ rays	Study of crystal structure, human internal body parts diagnosis and treatment
$UV -$ rays	Investigating fingerprints, sterilizing medical instruments, preserve food.
Infrared rays	To treat from muscular strain and photography during fog, mist
Radio waves and microwaves	Radar and telecommunication
Visible rays	To see objects