## Quantum World Worksheet #7

H-Atom ($E_{n}=-\frac{hR}{n^{2}}$)

Samantha Ito 2E
Posts: 64
Joined: Fri Sep 28, 2018 12:29 am

### Quantum World Worksheet #7

An excited hydrogen atom emits light with a frequency of 1.14*10^14 Hz to reach the energy level for which n=4. In what principle quantum level did the electron begin?

I made n2=4 in the equation and solved for n1 but I don't get 6 as the answer. Can someone show me the work for this problem using the equation v=R(1/n1^2-1/n2^2)?

Kate_Santoso_4F
Posts: 72
Joined: Fri Sep 28, 2018 12:29 am

### Re: Quantum World Worksheet #7

I had the same issue. I ended up with n2 being approximately 3.2. Someone please advise thanks.

Kate_Santoso_4F
Posts: 72
Joined: Fri Sep 28, 2018 12:29 am

### Re: Quantum World Worksheet #7

The Rydberg equation is as follows: frequency = -R((1/n(initial)^2)-(1/n(final)^2)). If you have a negative sign in front of the Rydberg equation, the first n in the equation has to be the starting level. If there is no negative sign in front of the Rydberg equation, the second n will be the starting level. We are given a frequency of 1.14*10^14 Hz and a final energy level of 4. We can plug both of these values into the equation along with the Rydberg constant and solve for the initial energy level (n(initial)) since we are solving for the principle quantum level that the electron started from.