The Pfund series in the hydrogen spectrum corresponds to transitions that have a final state of m=5. A. What are the wavelengths of the first three lines in this series? B. What part of the electromagnetic spectrum are these lines in?

sunnypeach12

sunnypeach12

Answered question

2022-08-12

The Pfund series in the hydrogen spectrum corresponds to transitions that have a final state of m=5.
A. What are the wavelengths of the first three lines in this series? Express your answers in micrometers to three significant figures. Enter your answers in descending order separated by commas.
B. What part of the electromagnetic spectrum are these lines in?

Answer & Explanation

afinat4s

afinat4s

Beginner2022-08-13Added 13 answers

The wavelength can be calculated using the formula,
1 λ = R h ( 1 5 2 1 n 2 ) n = 6 , 7 , 8 R H = 109677.581   c m 1
The first three wavelengths can be calculated as,
1 λ 1 = 109677.581 ( 1 5 2 1 6 2 ) λ 1 = 7.46 × 10 4   c m = 7.46   μ m 1 λ 2 = 109677.581 ( 1 5 2 1 7 2 ) λ 2 = 4.65   μ m = 1 λ 3 = 109677.581 ( 1 5 2 1 8 2 ) λ 3 = 3.74 × 10 4   c m = 3.74 μ m
These are included in infrared range of electromagnetic spectrum.
The required wavelengths are, 7.46, 4.65 and 3.74 micrometer. They lie in infrared range.

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