Question

In physics, how is energy related to wavelength and frequency?

To clarify, is there a direct relationship between the nature of energy (in all forms) with the idea of wavelengths and frequencies? Thanks!

Answer 1

See Below.

Explanation:

It isn't Energy, but Quantum Energy is related to the wavelength and the frequency of the radiation.

When an electron in an atom jumps down or up in between energy levels, It releases or absorbs energy as Electromagnetic radiation respectively.

This energy is discrete, it is divided into small packets, called quanta. [Max Planck's Theory]

This energy, `E`, is directly proportional to the frequency of the radiation.

So, `E = hnu` [Where `h` is the Famous Planck's Constant]

And We know, For Any Electromagnetic Radiation,

`nu = c/lambda` [Where `c` = Velocity of Light in Vacuum, and `lambda` = Wavelength of the radiation]

So, `E = (hc)/lambda` [Substituting the value of `nu`.]

Here, Velocity Of Light in Vacuum is always constant, and Planck's

Constant is always a constant (Duh).

So `hc = "constant"`.

So, We can tell,

`E prop 1/lambda`

So, `E`, is inversely proportional to the wavelength of the radiation.

Hope this helps.