Physical Universe
16th Edition
ISBN: 9780077862619
Author: KRAUSKOPF, Konrad B. (konrad Bates), Beiser, Arthur
Publisher: Mcgraw-hill Education,
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Question
Chapter 9, Problem 44E
(a)
To determine
In which transition did the photon emits highest frequency.
(b)
To determine
In which transition did the photon emits lowest frequency.
(c)
To determine
In which transition did the photon absorbs highest frequency.
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Consider the electron of a Li2+ ion that undergoes a transition from a higher energy state n to its adjacent lower energy state n – 1 (e.g. n = 2→1, 3→2, 4→3, etc) and emits a photon. Suppose the emitted photon is used to strike the surface of potassium, which has a threshold frequency of 5.464 × 10^14 s–1.a) Whatisthemaximuminitialquantumnumber,n, that is required in order to emit a photon with high enough energy to generate a photocurrent from the metal surface?b) Usingthenvaluesolvedinpart(a), calculate the maximum speed of the photoelectron from potassium. If you couldn’t solve for n in part (a), use n = 3.
Consider photons incident on a hydrogen atom.
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When a hydrogen atom undergoes a transition from the n = 2 to the n = 1 level, a photon with l = 122 nm is emitted. If the atom is modeled as an electron in a one-dimensional box, what is the width of the box in order for the n = 2 to n = 1 transition to correspond to emission of a photon of this energy?
Chapter 9 Solutions
Physical Universe
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- When a hydrogen atom is in its ground state, what are the shortest and longest wavelengths of the photons it can absorb without being ionized?arrow_forwardWhat are the (a) energy, (b) magnitude of the momentum, and (c) wavelength of the photon emitted when a hydrogen atom undergoes a transition from a state with n = 4 to a state with n = 2? (a) Number 2.55 Units eV (b) Number 1.3617 Units kg-m/s or N-s (c) Number 4.865976353 Units This answer has no unitsarrow_forwardA free hydrogen atom after absorbing a photon of wavelength λa gets excited from state n = 1 to n = 4. Immediately after electron jumps to n = m state by emitting a photon of wavelength λe. Let change in momentum of atom due to the absorption and the emission are ΔPa and Δpe respectively. If λa/ λe = 1/5. Which of the following is correct a) m = 2 b) ΔPa/Pe = 1/2 c) λe = 418 nm d) Ratio of K.E. of electron in the state n = m to n = 1 is ¼.arrow_forward
- The 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_forwardA 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.If the atom is in a magnetic field in the +z direction and with a magnitude of 2.20 T, what is the shift in the wavelength of the photon from the zero-field value? Does the magnetic field increase or decrease the wavelength? Disregard the effect of electron spin.arrow_forwardWhen a hydrogen atom undergoes a transition from the n = 2 to the n = 1 level, a photon with l = 122 nm is emitted. If the atom is modeled as an electron in a one-dimensional box, what is the ground-state energy in order for the n = 2 to n = 1 transition to correspond to emission of a photon of this energy?arrow_forward
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