Question

How are the wavelength and the frequency of the electromagnetic radiation related?

Answer 1

Hint: Electromagnetic waves hold the energy and upon contact with the matter, transfer their energy..Electromagnetic radiations may be characterized by the passage of the electrically charged particles through a matter or the vacuum or by oscillating magnetic and the electrical disturbance as a source of the energy now the relation between the frequency and the wavelength. Electromagnetic radiations associated energy is proportional to the frequency and inversely proportional to the wavelength

Complete answer:
Electromagnetic radiations may be characterized by the passage of the electrically charged particles through a matter or the vacuum or by oscillating magnetic and the electrical disturbance as a source of the energy now the relation between the frequency and the wavelength.
$C=\lambda V$
Where, C = speed of the light
$\lambda $ = wavelength
V = frequency
Now if we rewrite the equation as,
$\dfrac{C}{\lambda }=V$
From the equation we can say that wavelength $\lambda $is inversely proportional to V frequency of the electromagnetic radiation.
Therefore we can conclude that if the wavelength is long then frequency decreases and if wavelength is shorter then frequency of the electromagnetic radiation increases.

Additional information:
Wavelength:-
Wavelength is the distance between successive crests of a wave, especially points in an electromagnetic wave or any other wave like sound wave.
Frequency:-
The number of the cycles per second is defined as the frequency. It is defined as the hertz (HZ) or ${{S}^{-1}}$

Note:
As an approach to solve this question we saw the equation which shows the relation between the frequency and the wavelength which conclude that wavelength and the frequency is inversely proportional to each other.