## problem 1A.15

$c=\lambda v$

josmit_1D
Posts: 107
Joined: Fri Aug 09, 2019 12:17 am

### problem 1A.15

can someone explain how to solve the following problem: 1A.15 In the ultraviolet spectrum of atomic hydrogen, a line is observed at 102.6 nm. Determine the values of n for the initial and final energy levels of the electron during the emission of energy that leads to this spectral line.?

kevinchang_4I
Posts: 55
Joined: Tue Nov 13, 2018 12:17 am

### Re: problem 1A.15

This problem took me forever.
So because it tells us that it's UV light, when know n1 = 1. n2 is what we need to find and we have the equations to do it.

wavelength = speed of light / frequency

frequency = Rydberg constant * (1/n1^2 - 1/n2^2)

We have wavelength and speed of light, so we can solve for frequency. Next, we solve for n2 with the second equation. Frequency / rydberg constant = 1/n1^2 - 1/n2^2. Then we can get

1/n2^2 = 1/n1^2 - Frequency / rydberg constant and solve for n2. The answer may not be a perfect integer but should be close enough to infer.

Hope this helps

chari_maya 3B
Posts: 108
Joined: Sat Sep 07, 2019 12:18 am

### Re: problem 1A.15

Can you explain the reason we know the correlation between UV light and the fact that n1 = 1?

chari_maya 3B
Posts: 108
Joined: Sat Sep 07, 2019 12:18 am

### Re: problem 1A.15

How would you do this problem if the Lyman series did not apply?

Jessica Chen 2C
Posts: 103
Joined: Thu Jul 11, 2019 12:17 am

### Re: problem 1A.15

I think in order to solve this problem, you have to be able to recognize that UV radiation is in the Lyman series and therefore n1=1.