Confusion with problem 1.57  [ENDORSED]

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Anna De Schutter - 1A
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Joined: Wed Feb 21, 2018 3:01 am

Confusion with problem 1.57

Postby Anna De Schutter - 1A » Sun May 06, 2018 12:14 pm

Hi!

Problem 1.57 says: "Lines in the Balmer series of the hydrogen spectrum are observed at 656.3, 486.1, 434.0, and 410.2 nm. What is the wavelength of the next line in the series?"

I thought because in the Balmer series we are starting at n=2, that the next line in the series would be n=6. However, the solutions manual says "For the Balmer series n1=2, so the fifth line in the spectrum should be n2=7." Isn't the fifth line n=6 in the Balmer series?

Thank you! :)
Anna De Schutter - section 1A

AnnaYan_1l
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Re: Confusion with problem 1.57

Postby AnnaYan_1l » Sun May 06, 2018 1:23 pm

Hi, Anna! I had the same issue with this problem originally. It is important to remember that Balmer series means that the electron transitions from a higher energy level to n=2.

So, we can assume that:
656.3 nm is a transition from n=3 to n=2
486.1 nm is a transition from n=4 to n=2
434.0 nm is a transition from n=5 to n=2
410.2 nm is a transition from n=6 to n=2
So, the next line in the series would be a transition from n=7 to n=2.

(Then, you can use the equation to solve for the energy released. Finally, you would solve for wavelength.)

I hope that helps!

Anna De Schutter - 1A
Posts: 66
Joined: Wed Feb 21, 2018 3:01 am

Re: Confusion with problem 1.57  [ENDORSED]

Postby Anna De Schutter - 1A » Sun May 06, 2018 2:28 pm

That makes a lot of sense! Thank you so much! :)

Joussie Camacho 4I
Posts: 33
Joined: Tue Oct 02, 2018 12:16 am

Re: Confusion with problem 1.57

Postby Joussie Camacho 4I » Sun Oct 21, 2018 4:41 pm

Will we be tested on the Balmer series in Test 2?

Joussie Camacho 4I
Posts: 33
Joined: Tue Oct 02, 2018 12:16 am

Re: Confusion with problem 1.57

Postby Joussie Camacho 4I » Sun Oct 21, 2018 4:46 pm

Will we be tested on the Balmer series in Test 2?


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