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 13Q
To determine
The method how the hydrogen atom might absorb a photon of energy less than 13.6 eV and also explain a process by which a 9.8 eV photon might be absorbed and a 15.2 eV photon.
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A hydrogen atom initially in its ground state (n=1) absorbs a photon and ends up in the state for which n = 3.
(a) What is the energy of the absorbed photon?
(b) If the atom returns to the ground state, what photon energies could the atom emit?
If it takes 10.2 eV of energy excite hydrogen from the ground state into the first excited (n = 2) state, then what frequency photon is required to excite hydrogen out of the ground state into n = 2 state? What is the wavelength (λ) of that photon? What kind of radiation (region of the electromagnetic spectrum) is this photon?
A hydrogen atom initially in its ground state (n = 1) absorbs a photon and ends up in the state for which n = 3. (a) What is the energy of the absorbed photon? (b) If the atom eventually returns to the ground state, what photon energies could the atom emit?
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 are the energies and vacuum wavelengths of all the possible photons emitted when an electron moves from the n=3 to the n=1 orbit of the hydrogen atom?arrow_forward1. Calculate the temperature at which many hydrogen atoms will be in the first excited state (n=2). What series should be prominent in absorption at this temperature? 2. The electron in a hydrogen atom at rest makes a transition from the n=2 energy state to the n=1 ground state. (a) Find the wavelength, frequency, and energy (eV) of the emitted photon.arrow_forwardWhat is the final energy state of an H atom that transitions from the n=4 state and emits a photon with λ = 1.875 μm? n = 2 n = 1 n = 3arrow_forward
- Write a ~1-2 page summary in answer to the question, “What does the emission spectrum of the hydrogen atom reveal about its energy levels?” Be sure to compare and contrast the terms energy, energy level, transition, and spectroscopic line.arrow_forwardCalculate the energy of a photon (in eV) emitted from the transition of an electron from the n = 7 to n = 2 energy level. (Hint: 1 eV = 1.602 x 10-19 J)arrow_forwardSuppose that a hydrogen atom makes a transition from a high-n state to a low-n state, emitting a photon in the process. Calculate the energy and wavelength of the photon for each of the following transitions: 2 → 1, 3 → 2, 4 → 2, 5 → 2.arrow_forward
- Suppose a star with radius 8.51 108 m has a peak wavelength of 689 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. J/photon(b) What is the surface temperature of the star? K(c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). W(d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star. photons/sarrow_forwardWhich of the following represens the transition in a hydrogen atom showing absorption of the shortest wavelength photon? A. n = 4 to n = 5 B. n = 3 to n = 1 C. n = 1 to n = 2 D. n = 6 to n = 3arrow_forwardWhat are the two longest wavelengths in the absorption spectrum of sodium? What are the transitions?arrow_forward
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