Consider the Balmer series discussed in the book (and Prof. Scherer's lecture notes), where the frequencies are given by: [1 V = [4 x (3.29 x 1015 s-1) n = 3,4,5, ... | n2 Let us focus only on the spectral lines and transitions corresponding to the Balmer series. a) Suppose the Balmer series of hydrogen is studied using a Franck-Hertz experiment. What is the threshold voltage required for n3D3? How about n=4? b) The Lyman Series frequencies are given by v = 1-x (3.29 x 1015 s-1). Describe what is different about these two series of emission frequencies of photons from the hydrogen atom? That is, what distinguishes one series from the other? (Hint: it may help to think about the Bohr model interpretation of transitions.)

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Chapter7: Atomic Structure And Periodicity
Section: Chapter Questions
Problem 180CP: Answer the following questions, assuming that ms, could have three values rather than two and that...
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Consider the Balmer series discussed in the book (and Prof. Scherer's lecture notes), where the
frequencies are given by:
r1
V =
[4
1
x (3.29 x 1015 s-1)
n = 3,4,5, ...
Let us focus only on the spectral lines and transitions corresponding to the Balmer series.
a) Suppose the Balmer series of hydrogen is studied using a Franck-Hertz experiment.
What is the threshold voltage required for n3? How about n=4?
b) The Lyman Series frequencies are given by v = 1-x (3.29 x 1015 s-1). Describe
what is different about these two series of emission frequencies of photons from the
hydrogen atom? That is, what distinguishes one series from the other? (Hint: it may help
to think about the Bohr model interpretation of transitions.)
Transcribed Image Text:Consider the Balmer series discussed in the book (and Prof. Scherer's lecture notes), where the frequencies are given by: r1 V = [4 1 x (3.29 x 1015 s-1) n = 3,4,5, ... Let us focus only on the spectral lines and transitions corresponding to the Balmer series. a) Suppose the Balmer series of hydrogen is studied using a Franck-Hertz experiment. What is the threshold voltage required for n3? How about n=4? b) The Lyman Series frequencies are given by v = 1-x (3.29 x 1015 s-1). Describe what is different about these two series of emission frequencies of photons from the hydrogen atom? That is, what distinguishes one series from the other? (Hint: it may help to think about the Bohr model interpretation of transitions.)
Expert Solution
Step 1

The frequency of Balmer series is given as:

ν=14-1n2×(3.29×1015) s-1

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