work example in class from April 16

[YeseniaGomez_1L]

I am looking at my notes and in one of the examples from class, our professor wrote E subscript 4= 1/16 x hR, can someone explain where the 1/16 came from?

[Celeste Martinez 1K]

The 1/16 comes from 1/4^2 which equal 1/16. This is done because the formula is E[n] = -hR/n^2 in order to not have that division sign, we can write it as E[n] = -1/n^2 * hR

Hope this helps!

[AnnaYan_1l]

In the equation E subscript n = (-hR)/(n^2), n = energy level. So in the worked example, at that point of the problem, we were calculating the energy at energy level 4 (n = 4):

E subscript 4 = - (hR)/(4^2)

In the next step:

E subscript 2 = (-hR)/(2^2)

I hope this was helpful.