Question

What is the relationship between the wavelength and the frequency of radiant energy

Answer 1

Wavelength and frequency are inversely proportional

c = λv

Step-by-step explanation:

Wavelength and frequency are measurements of the size and speed of waves that create radiant energy.

Proportionality

Wavelength is inversely (indirectly) proportional to frequency. This means that as wavelength increases, the frequency decreases and vice versa. For example, radio waves have the longest wavelength, but the smallest frequency of the electromagnetic spectrum. This relationship continues across the spectrum and remains true for all forms of radiant energy waves.

Equation

We can also describe the relationship between wavelength and frequency through an equation:

• c = λv

In this equation, c is the speed of light, λ (called lambda) represents wavelength in meters, and v is the frequency in hertz. We can rearrange the equation to get the new relationship:

• 
  `\displaystyle(c)/(\lambda)=v`

This shows the inverse proportionality of the 2 measurements.