Question

What is the relationship between frequency and wavelength of electromagnetic radiation?

Answer 1

Energy, wavelength, and frequency can all be used to describe the electromagnetic spectrum. Each approach of thinking about the electromagnetic spectrum is mathematically related to the others. The relationships between energy, wavelength, and frequency can be stated as wavelength equals the speed of light divided by the frequency.

Complete answer:
Light's wavelength and frequency are inextricably linked. The shorter the wavelength, the higher the frequency. Hence, frequency and wavelength are inversely proportional to each other. Because all light waves move at the same speed in a vacuum, the number of wave crests passing at a given spot in one second is determined by the wavelength. For a short-wavelength wave, this number, also known as the frequency, will be higher than for a long-wavelength wave.
The wavelength and frequency of electromagnetic waves are related by the equation $\lambda \nu = c$ , where $\lambda$ is the wavelength, $\nu$ is the frequency, and $c$ is the speed of light.
Explanation:
The wavelength and frequency are inversely proportional.
$c = \nu \cdot \lambda$
(The speed of light is directly proportional to $\nu$ and $\lambda$ )
$\dfrac{c}{\nu } = \lambda$ (The speed of light is directly proportional to $\nu$ , and $\nu$ is inversely proportional to $\lambda$
$\dfrac{c}{\lambda } = \nu$ (The speed of light is directly proportional to $\lambda$ and $\lambda$ is inversely proportional to $\nu$

Note: Spectroscopy is the precise study of colour, broadened from visible light to all bands of the electromagnetic spectrum; indeed, spectroscopy began as a study of the wavelength dependence of visible light scattered by a prism absorption by gas phase materials. For spectroscopy, nearly all frequencies and wavelengths of electromagnetic radiation can be employed.