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TranscribedText: 2. In the Bohr atom, the turquoise Hy line corresponds to the transition from n1 = 5 to 712 = 2. In terms of
TranscribedText: 2. In the Bohr atom, the turquoise Hy line corresponds to the transition from n1 = 5 to 712 = 2. In terms of the equation for the energy change from the Bohr model, this implies that a photon produced from this transition will have a wavelength that can be written as 1 C'(1 1) 35.2 71% nf This works because we know that the energy of the photon emitted in this process is proportional to the wavelength of the photon. a) If this spectral emission line has a wavelength of 434.0 nm, what is the value of the constant C" in this equation? HINT: Since the n values do not have units, the constant C' has units of I/Iength in this case. That turns out to be convenient for the rest of this problem. b] Using this relation and the constant you determined in part (a), calculate the wavelengths of the Ha [112 = 2 and 111 = 3) and H13 [n2 = 2 and 111 = 4), the two lines in the Balmer series that lie to the red of Hy. c] Calculate the wavelengths of the Lyman a: line [112 = 1 and 111 = 2] and the Humphreys a: line [112 = 6 and n1 = 7). Specify in what part of the Electromagnetic spectrum each of these lines would be observed [see Figure 5.6 of the text). HINT: The same constant you found in part (a) still applies
= 2. In the Bohr atom, the turquoise Hy line corresponds to the transition from n = 5 to n 2. In terms of the equation for the energy change from the Bohr model, this implies that a photon produced from this transition will have a wavelength that can be written as 1 1 1 = 252 n This works because we know that the energy of the photon emitted in this process is proportional to the wavelength of the photon. a) If this spectral emission line has a wavelength of 434.0 nm, what is the value of the constant C' in this equation? HINT: Since the n values do not have units, the constant C' has units of 1/length in this case. That turns out to be convenient for the rest of this problem. b) Using this relation and the constant you determined in part (a), calculate the wavelengths of the Ha (n2 = 2 and n = 3) and H (n = that lie to the red of Hy. 2 and n = 4), the two lines in the Balmer series = c) Calculate the wavelengths of the Lyman a line (n 1 and n = 2) and the Humphreys a line (n2 = 6 and n = 7). Specify in what part of the Electromagnetic spectrum each of these lines would be observed (see Figure 5.6 of the text). HINT: The same constant you found in part (a) still applies.
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