# Question #27e1c

##### 1 Answer

#### Answer:

#### Explanation:

Your goal here is to figure out if *ground state* and if so, the highest energy level that the electron can reach.

The easiest way you have of figuring out if

You will end up with--you can ignore the minus signs for this purpose

#"13.6 eV " - " 3.40 eV" = "10.2 eV"#

This tells you that in order for an electron to move from

Since you only have

Alternatively, you can use the fact that the *quantized* energy levels that the electron can occupy in a hydrogen atom are described by the following equation

#E_n = -"13.6 eV"/n^2#

Here

In your case, you will have

#E_n = -"13.6 eV" + "9.9 eV" = -"3.7 eV"#

This means that

#n^2 = (color(red)(cancel(color(black)(-)))13.6 color(red)(cancel(color(black)("eV"))))/(color(red)(cancel(color(black)(-)))3.7color(red)(cancel(color(black)("eV")))) implies n= sqrt(13.6/3.7) ~~ 1.9#

Since you have