Problem Set 6 # 2c)- interesting diffence?!
I understand the solution given for Problem # 2 c) (Energy of the Electron equals 10 eV, thus 1,6 x 10^-18 J which is not enough to excite the ground state). As I didn't see this simple solution right from the start, I worked with the equation E = h*v (v= "ny" = c/lambda) to find the Energy.

Given: 3.89 x 10^-10 = lambda, ny and c
it occurs that the Energy equals 5.11 * 10^-16!
This would be enough to excite the ground state! Why is there a difference? Where is my error or if you can't find any: What is finally the correct solution for problem

Question

Problem Set 6 # 2c)- interesting diffence?!
I understand the solution given for Problem # 2 c) (Energy of the Electron equals 10 eV, thus 1,6 x 10^-18 J which is not enough to excite the ground state). As I didn't see this simple solution right from the start, I worked with the equation E = h*v (v= "ny" = c/lambda) to find the Energy. 

Given: 3.89 x 10^-10 = lambda, ny and c
it occurs that the Energy equals 5.11 * 10^-16!
This would be enough to excite the ground state! Why is there a difference? Where is my error or if you can't find any: What is finally the correct solution for problem