a) The Balmer series consists of transitions in hydrogen from higher states where n > 2 to the n = 2 state. Use the Bohr model to show each ‘line’ in the Balmer series can be described by the following equation; 1/λ = R(1/22 -1/n2) where the Rydberg Constant R = me4/8εo2 h3c b) Use this result to confirm the wavelength of light emitted in the Hα transition. c) Develop similar equations for the Lyman, Paschen, Brackett and Pfund spectral series where where the final states are n= 1, 3, 4 and 5 respectively.
a) The Balmer series consists of transitions in hydrogen from higher states where n > 2 to the n = 2 state. Use the Bohr model to show each ‘line’ in the Balmer series can be described by the following equation; 1/λ = R(1/22 -1/n2) where the Rydberg Constant R = me4/8εo2 h3c b) Use this result to confirm the wavelength of light emitted in the Hα transition. c) Develop similar equations for the Lyman, Paschen, Brackett and Pfund spectral series where where the final states are n= 1, 3, 4 and 5 respectively.
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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a) The Balmer series consists of transitions in hydrogen from higher states where n > 2 to
the n = 2 state. Use the
described by the following equation;
1/λ = R(1/22 -1/n2) where the Rydberg Constant R = me4/8εo2 h3c
b) Use this result to confirm the
c) Develop similar equations for the Lyman, Paschen, Brackett and Pfund spectral series
where where the final states are n= 1, 3, 4 and 5 respectively.
d) What is the wavelength of light emitted from hydrogen in a transition from the n = 3
energy level to n = 1? In which region of the
In which spectral series? What colour of light is observed?
Transcribed Image Text:1. a) The Balmer series consists of transitions in hydrogen from higher states where n > 2 to
the n = 2 state. Use the Bohr model to show each 'line' in the Balmer series can be
described by the following equation;
1/λ = R(1/2² -1/n²) where the Rydberg Constant R = me4/8ε.² h³c
b) Use this result to confirm the wavelength of light emitted in the H transition.
c) Develop similar equations for the Lyman, Paschen, Brackett and Pfund spectral series
where where the final states are n= 1, 3, 4 and 5 respectively.
d) What is the wavelength of light emitted from hydrogen in a transition from the n = 3
energy level to n = 1? In which region of the electromagnetic spectrum is this light found?
In which spectral series? What colour of light is observed?
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