Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 42, Problem 1P
(a)
To determine
The wavelength of the first three lines.
(b)
To determine
Which region of the
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The wavelengths of the Lyman series for hydrogen are given by = RH(1-2), = 2, 3, 4, ...
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(a) Calculate the wavelengths of the first three lines in this series.
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(b) Identify the region of the electromagnetic spectrum in which these lines appear.
O ultraviolet region
O infrared region
O x-ray region
O visible light region
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A hydrogen atom in an n=2, I=1, m1 = -1 state emits a photon when it decays to an n=1 I=0, mI=0 ground state. If the atom is in a magnetic field in the + z direction and with a magnitude of 2.50 T, what is the shift in the wavelength of the photon from zero-field value?
The wavelengths of the Lyman series for hydrogen are given by
(a) Calculate the wavelengths of the first three lines in this series. (b) Identify the region of the electromagnetic spectrum in which these lines appear
Chapter 42 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 42.3 - Prob. 42.1QQCh. 42.3 - Prob. 42.2QQCh. 42.4 - Prob. 42.3QQCh. 42.4 - Prob. 42.4QQCh. 42.8 - Prob. 42.5QQCh. 42 - Prob. 1OQCh. 42 - Prob. 2OQCh. 42 - Prob. 3OQCh. 42 - Prob. 4OQCh. 42 - Prob. 5OQ
Ch. 42 - Prob. 6OQCh. 42 - Prob. 7OQCh. 42 - Prob. 8OQCh. 42 - Prob. 9OQCh. 42 - Prob. 10OQCh. 42 - Prob. 11OQCh. 42 - Prob. 12OQCh. 42 - Prob. 13OQCh. 42 - Prob. 14OQCh. 42 - Prob. 15OQCh. 42 - Prob. 1CQCh. 42 - Prob. 2CQCh. 42 - Prob. 3CQCh. 42 - Prob. 4CQCh. 42 - Prob. 5CQCh. 42 - Prob. 6CQCh. 42 - Prob. 7CQCh. 42 - Prob. 8CQCh. 42 - Prob. 9CQCh. 42 - Prob. 10CQCh. 42 - Prob. 11CQCh. 42 - Prob. 12CQCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - Prob. 3PCh. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - Prob. 19PCh. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 23PCh. 42 - Prob. 24PCh. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - Prob. 30PCh. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Prob. 34PCh. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - Prob. 38PCh. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65APCh. 42 - Prob. 66APCh. 42 - Prob. 67APCh. 42 - Prob. 68APCh. 42 - Prob. 69APCh. 42 - Prob. 70APCh. 42 - Prob. 71APCh. 42 - Prob. 72APCh. 42 - Prob. 73APCh. 42 - Prob. 74APCh. 42 - Prob. 75APCh. 42 - Prob. 76APCh. 42 - Prob. 77APCh. 42 - Prob. 78APCh. 42 - Prob. 79APCh. 42 - Prob. 80APCh. 42 - Prob. 81APCh. 42 - Prob. 82APCh. 42 - Prob. 83APCh. 42 - Prob. 84APCh. 42 - Prob. 85APCh. 42 - Prob. 86APCh. 42 - Prob. 87APCh. 42 - Prob. 88APCh. 42 - Prob. 89CPCh. 42 - Prob. 90CPCh. 42 - Prob. 91CP
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- When the absorption spectrum of hydrogen at room temperature is analyzed, absorption lines for the Lyman series are found, but none are found for the Balmer series. What does this tell us about the energy state of most hydrogen atoms at room temperature?arrow_forwardDerive an expression for the ratio of X-ray photon frequency for two elements with atomic numbers Z1 and Z2.arrow_forwardX-rays of wavelength 1.520×10^−2 nm are scattered from a carbon atom. The wavelength shift is measured to be 3.26×10^−4 nm. a) What is the scattering angle? b) How much energy, in , does each photon impart to each electron?arrow_forward
- A hydrogen atom in an n = 2, l = 1, ml = -1 state emits a photon when it decays to an n = 1, l = 0, ml = 0 ground state. In the absence of an external magnetic field, what is the wavelength of this photon?arrow_forwardThe Lyman series of photons each have an energy capable of exciting the electron of a hydrogen atom from the ground state (energy level 1) to energy levels 2, 3, 4, etc. The wavelengths of the first five photons in this series are 121.6 nm, 102.6 nm, 97.3 nm, 95.0 nm, and 93.8 nm. The ground state energy of hydrogen is −13.6 eV. Based on the wavelengths of the Lyman series, calculate the energies of the first five excited states above ground level for a hydrogen atom to the nearest 0.1 eV.arrow_forwardWhen an electron of an excited hydrogen atom descends, from an initial energy level (ni) to a lower (nf), characteristic electromagnetic radiation is emitted. The Bohr model of the H-atom allows the calculation of ΔE for any pair of energy levels. ΔE is related to the wavelength (λ) of the radiation according to Einstein's equation ( ΔE = [(hc)/λ]). Distinct series of spectral lines have been classified according to nf: Lyman series:nf=1 (91<λ<123 nm; near-UV). Balmer series:nf=2 (365<λ<658 nm; visible). Paschen series:nf=3 (819<λ<1877 nm; near-IR). Brackett series:nf=4 (1.456<λ<4.054 μm; short-to-mid-λ-IR) One of the lines in the emission spectrum of the hydrogen atom has a wavelength of λ = 102.6 nm. Identify the value of ninitial. Identify the value of nfinal .arrow_forward
- When an electron of an excited hydrogen atom descends, from an initial energy level (ni) to a lower (nf), characteristic electromagnetic radiation is emitted. The Bohr model of the H-atom allows the calculation of ΔE for any pair of energy levels. ΔE is related to the wavelength (λ) of the radiation according to Einstein's equation ( ΔE = [(hc)/λ]). Distinct series of spectral lines have been classified according to nf: Lyman series:nf=1 (91<λ<123 nm; near-UV). Balmer series:nf=2 (365<λ<658 nm; visible). Paschen series:nf=3 (819<λ<1877 nm; near-IR). Brackett series:nf=4 (1.456<λ<4.054 μm; short-to-mid-λ-IR) One of the lines in the emission spectrum of the hydrogen atom has a wavelength of λ = 2167 nm. A) Identify the value of nfinal . B) Identify the value of ninitial. (Answer as a whole number)arrow_forwardWhen an electron of an excited hydrogen atom descends, from an initial energy level (ni) to a lower (nf), characteristic electromagnetic radiation is emitted. The Bohr model of the H-atom allows the calculation of ΔE for any pair of energy levels. ΔE is related to the wavelength (λ) of the radiation according to Einstein's equation ( ΔE = [(hc)/λ]). Distinct series of spectral lines have been classified according to nf: Lyman series:nf=1 (91<λ<123 nm; near-UV). Balmer series:nf=2 (365<λ<658 nm; visible). Paschen series:nf=3 (819<λ<1877 nm; near-IR). Brackett series:nf=4 (1.456<λ<4.054 μm; short-to-mid-λ-IR) One of the lines in the emission spectrum of the hydrogen atom has a wavelength of λ = 121.6 nm. Identify the value of ninitial.arrow_forwardWhen an electron of an excited hydrogen atom descends, from an initial energy level (ni) to a lower (nf), characteristic electromagnetic radiation is emitted. The Bohr model of the H-atom allows the calculation of ΔE for any pair of energy levels. ΔE is related to the wavelength (λ) of the radiation according to Einstein's equation ( ΔE = [(hc)/λ]). Distinct series of spectral lines have been classified according to nf: Lyman series:nf=1 (91<λ<123 nm; near-UV). Balmer series:nf=2 (365<λ<658 nm; visible). Paschen series:nf=3 (819<λ<1877 nm; near-IR). Brackett series:nf=4 (1.456<λ<4.054 μm; short-to-mid-λ-IR) One of the lines in the emission spectrum of the hydrogen atom has a wavelength of λ = 93.11 nm.: Identify the value of ninitial.: Identify the value of nfinal . hello, you submitted an answer to this question but It was still not clear to me how you got n intial from the bohr model equation. Can you please provide me with a more clear…arrow_forward
- Find the ratio between the wavelengths of the ‘most energetic’ spectral lines in the Balmer and Paschen series of the hydrogen spectrum.arrow_forwardThe wavelengths of the Lyman series for hydrogen are given by 1 λ = 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. infrared regionvisible light region x-ray regionultraviolet regiongamma ray regionarrow_forwardplease help as soon as possiblearrow_forward
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