Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 30P
To determine
The highest state to which hydrogen can be excited.
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Light from a Nd: Yag laser with a wavelength of 397 nm is incident upon a hydrogen atom in the n= 2 state at rest. What is the highest state to which hydrogen can be excited?
A hydrogen atom in its n = 4 state is ionized by absorbing a 268 nm photon. If all the excess energy becomes
kinetic energy of the electron, what is the final kinetic energy of the electron? Please give your answer in
eV.
A hydrogen atom in its n = 8 state is ionized by absorbing a 294 nm photon. If all the excess energy becomes kinetic energy of the electron, what is the final kinetic energy of the electron? Please give your answer in eV.
Chapter 4 Solutions
Modern Physics for Scientists and Engineers
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - What fraction of 5-MeV α particles will be...Ch. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61P
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- What is the energy in eV and wavelength in μm of a photon that, when absorbed by a hydrogen atom, could cause a transition from the n = 5 to the n = 8 energy level? HINT (a) energy in eV eV (b) wavelength in um umarrow_forwardAn photon with wavelength 3.38 nm is emitted when an electron in a one-electron ion transitions from the first excited state to the ground state. Another emission line, for the same ion is observed at 11.401 nm. It is known that the final energy state in this transition is 2, what is the initial energy state?arrow_forwardA hydrogen atom has its electron in the n-3 state. How much energy would have to be absorbed by the atom for it to become ionized from this level? What is the frequency of the photon that could produce this result? An atom has 46 electrons. What is the smallest value of n needed so that all 46 electrons occupy the lowest possible quantum states consistent with the Pauli exclusion principle? O 1.51 eV 3.65 x 10^14 Hz, n = 5 O 1.51 eV 3.93 x 10^14 Hz. n=5 O 1.58 eV 3.93 x 10^14 Hz, n=5 1.51 eV 3.65 x 10^14 Hz. n-4 O 144 eV 3.65 x 10^14 Hz, n=6arrow_forward
- A hydrogen atom in the n = 2 state absorbs a photon with wavelength 397 nm. Find the change in the atom's total energy. Express your answer with the appropriate units.arrow_forwardAn electron at the n = 7 level of the hydrogen atom emits 397 nm light while returning to a lower energy level. What is the n value of the level where the electron falls?arrow_forwardWhat electron transition in a hydrogen atom, starting from the orbit 9, will produce light of wavelength 1820 nm? What will be the corresponding energy change for the transition?arrow_forward
- A hydrogen atom in its fourth excited state emits a photon with a wavelength of 1282 nm. What is the atom’s maximum possible orbital angular momentum after the emission? Give your answer as a multiple of h.arrow_forwardThe figure shows the energy levels for an electron in a finite potential energy well. If an electron in the n = 2 state absorbs a photon of wavelength 2.0 nm, what happens to the electron? Energy (eV) 450 Nonquantized -Top of well E = 398 eV E = 233 eV E = 106 eV E₁ = 27 eV O It makes a transition to the n = 3 state. O It makes a transition to the n = 4 state. O It escapes the well with a kinetic energy of 280 eV.arrow_forwardThe energy difference between the 1st excited state (n = 2) and the 2nd excited state (n = 3) in the hydrogen atom is 1.9 eV, what is the wavelength of the emission line resulting from the electron transitions between those two levels? Give your answer in units of nanometers (nm).arrow_forward
- An electron in the hydrogen atom makes a transition from an energy state of principal quantum number ni to the n = 2 state. If the photon emitted has a wavelength of 434 nm, what is the value of ni? Enter just the value of ni, and not the whole expression (e.g., do not enter n = 2).arrow_forwarda) An electron in a hydrogen atom has energy E= -3.40 eV, where the zero of energy is at the ionization threshold. In the Bohr model, what is the angular momentum of the electron? Express your result as a multiple of ħ. Ans. b) What is the deBroglie wavelength of the electron when it is in this state? Ans. c) When the electron is in this state, what is the ratio of the circumference of the orbit of the electron to the deBroglie wavelength of the electron? Ans. d) The electron makes a transition from the state with energy E= -3.40 eV to the ground state, that has energy -13.6 eV. What is the wavelength of the photon emitted during this transition? Ans.arrow_forwardAn electron is in an infinite square well of width 2.0 nm. What is the wavelength of the emitted photon in nanometers as the electron transitions from the n=8 to the n=4 state? (h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19J). Please give your answer with no decimal places.arrow_forward
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