Question

Which wave characteristic describes the product of the frequency and the wavelength?
A. Frequency
B. Amplitude
C. Wavelength
D. Velocity
E. Period

Answer 1

Hint: Electromagnetic waves always travel in the same direction at the same pace \[\left( {299,792{\text{ }}km\,per{\text{ }}second} \right)\] . This is one of their distinguishing features. There are numerous distinct types of waves with differing frequencies and wavelengths in the electromagnetic spectrum. They are all linked by a single equation: the frequency of every electromagnetic wave multiplied by its wavelength equals the speed of light.

Complete step by step answer:
The length of a complete wave cycle is measured in wavelength. A wave's velocity is the distance travelled by a point on the wave. In general, the relationship between Velocity and Wavelength is proportional for any wave. The wave velocity formula is used to express it.
The distance travelled by a wave per unit time is defined as its wave speed (v). If we consider that the wave traverses one wavelength in one time,
$v = \dfrac{\lambda }{T}$
Because we know that \[T = \dfrac{1}{f}\] , we can write the following equation as
$v = f\lambda $
The wave speed is equal to the product of its frequency and wavelength, implying the frequency-wavelength connection.

Note:
It should be emphasised that the velocity of light in vacuum is likewise frequency independent; but, in a transparent medium, the velocity of light is affected by the action of dispersion in the material.