The wavelengths of the Lyman series for hydrogen are given by 1/ ? = R H (1 - 1/
ID: 1292124 • Letter: T
Question
The wavelengths of the Lyman series for hydrogen are given by 1/? = RH (1 - 1/n2) n = 2, 3, 4, . . . (a) Calculate the wavelengths of the first three lines in this series.nm
nm
nm
(b) Identify the region of the electromagnetic spectrum in which these lines appear. visible light regionx-ray region gamma ray regioninfrared regionultraviolet region
The wavelengths of the Lyman series for hydrogen are given by 1/? = RH (1 - 1/n2) n = 2, 3, 4, . . . (a) Calculate the wavelengths of the first three lines in this series.
nm
nm
nm
(b) Identify the region of the electromagnetic spectrum in which these lines appear. visible light regionx-ray region gamma ray regioninfrared regionultraviolet region
(a) Calculate the wavelengths of the first three lines in this series.
nm
nm
nm
(b) Identify the region of the electromagnetic spectrum in which these lines appear. visible light regionx-ray region gamma ray regioninfrared regionultraviolet region
visible light regionx-ray region gamma ray regioninfrared regionultraviolet region
Explanation / Answer
1/? = 1.097 x 10^7 ( 1 - 1/n^2)
(a)
n=2
1/? = 1.097 x 10^7(1 - 1/4) = 0.82275 x 10^7 per m
=> ? = 1.215 x 10-7 m
? = 121.5 nm
n=3
1/? = 1.097 x 10^7(1 - 1/9) = 0.9751 x 10^7 per m
=> ? = 1.026 x 10-7 m
? = 102.6 nm
n=4
1/? = 1.097 x 10^7(1 - 1/16) = 1.0284 x 10^7 per m
=> ? = 0.972 x 10-7 m
=> ? = 97.2 nm
(b)
All lie in ULTRAVIOLET Region
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