# Using Rydberg's equation for the energy levels (E = -R/n^2) and the wavelength and the c=(lambda)v, E=hv equations, SHOW/ PROVE how E(red band in H-spectrum, lambda = 656 nm) = (Delta or change/ difference) E (3 --> 2)?

##### 1 Answer

This is a bit long and probably there is a faster way but I tried this:

#### Explanation:

Ok; you know that when an electron jumps from an allowed orbit to another it absorbs/emits energy in form of a photon of energy

Your "red" photon represents a transition between two orbits (of quantum numbers

but red means a wavelength:

so the "red" frequency will be:

And energy:

(where

Now we need to find the two orbits (their quantum numbers) from where and toward where the electron jumped:

We use Rydberg's Formula where we know that:

and also:

(I used Rydberg Constant in

I found:

Hope it helps!