Calculating the energy level and radius for a helium atom

[ttk3]

Homework Statement

Calculate the energy and radius for each of the five lowest (n = 1,2,3,4,5) electron orbits in a Helium atom with only one electron. Enter the energy as a positive value in units of "eV" and the radius in units of "nm". Hint: The Helium nucleus has 2 protons so Z = 2 and the ground state energy of Helium will be E0 = k(Ze)2/2r0.

Homework Equations

E = (E₀/n²)*Z²
E₀= 13.6 eV
Z²=4
r=(r₀/Z)*n²
Z=2

The Attempt at a Solution

I got the correct answers for n = 1-2 and 4-5, but I cannot get the right answer for n=3. could you check my work?

The answers I got were E = 6.044 eV and r = .238 nm

 

[G01]

I am getting the same numbers you are ttk3. The process for finding the answer for n=3 is the same as it is for the other four you got correct, so I don't see how you could get only n=3 incorrect.

Are you sure there isn't some error or typo in wherever you are getting the correct answer from?