University Physics with Modern Physics (14th Edition)
University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 38, Problem 38.2DQ
To determine

The effect of the probability that a single electron absorbing two identical photons have on the threshold frequency and other properties involved in photoelectric effect.

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13.a.  In a Compton scattering, a photon of wavelength (439) nm is collided with an electron and scattered through an angle (69)°. Calculate the energy transferred to the electron in this collision.   b. A rectangular block of copper having dimensions  (20.5) cm × (20.5) cm × (49) cm. If the resistivity (?) of copper is 17.2 n Ω?, determine its resistance.
One can now use integrated-circuit technology to manufacture a "box" that traps electrons in a region only a few nanometers wide. Imagine that we make an essentially one-dimensional box with a length of 3 nanometers. Suppose we put 10 electrons in such a box and allow them to settle into the lowest possible energy states consistent with the Pauli exclusion principle. a) What will be the value of the highest energy level occupied by at least one electron? b) What will be the electrons' total energy (ignoring their electrostatic repulsion)? c) How would your answers to the above be different if the electrons were bosons instead of fermions? d) What is the wavelength of the lowest energy photon that can be absorbed (the electrons in this box are fermions)?
Galaxies tend to be strong emitters of Lyman a photons (from the n = 2 to n = 1 transition in atomic hydrogen). But the intergalactic medium—the very thin gas between the galaxies—tends to absorb Lyman a photons. What can you infer from these observations about the temperature in these two environments? Explain.

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University Physics with Modern Physics (14th Edition)

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