Question #27e1c
1 Answer
Explanation:
Your goal here is to figure out if
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