An electron in the n = 6 level emits a photon with a wavelength of 410.2 nm. to what energy level does the electron move?

a. n = 1

b. n = 2

c. n = 3

d. n = 4

e. n = 5

b. n = 2

Explanation:

To find the energy level you use the following formula from the Bohr's model:

  (1)

n2: initial state

n1: final state

To find the final state n2, is necessary to calculate the change in energy. This is made by using the following formula:

h: Planck's constant = 6.62*10^⁻34Js

By replacing you obtain:

4.841*10^{-19}(6.242*10^{18}eV)=3.022eV (to use the formula (1) the unit of energy must be eV).

Finally, by doing n1 the subject of the formula (1) you obtain:

hence, the electron moves to the n=2 level