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Chapter 38: Q8Q (page 1180)
Compton scattering. Figure 38-22 gives the Compton shift versus scattering angle for three different stationary target particles. Rank the particles according to their mass, greatest first.
The rank of the particles according to their mass is 3, 2, 1.
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Just after detonation, the fireball in a nuclear blast is approximately an ideal blackbody radiator with a surface temperature of about .
(a) Find the wavelength at which the thermal radiation is maximum and (b) identify the type of electromagnetic wave corresponding to that wavelength. This radiation is almost immediately absorbed by the surrounding air molecules, which produces another ideal blackbody radiator with a surface temperature of about .
(c) Find the wavelength at which the thermal radiation is maximum and (d) identify the type of electromagnetic wave corresponding to that wavelength.
Question:(a) Let be a complex number, where aand barereal (positive or negative) numbers. Show that the product is always a positive real number. (b) Let localid="1663080869595" be another complexnumber. Show that .
Question: In Eq. keep both terms, putting . The
equation then describes the superposition of two matter waves of
equal amplitude, traveling in opposite directions. (Recall that this
is the condition for a standing wave.) (a) Show that is
then given by
(b) Plot this function, and demonstrate that it describes the square
of the amplitude of a standing matter wave. (c) Show that thenodes of this standing wave are located at where
and is the de Broglie wavelength of the particle. (d) Write a similar
expression for the most probable locations of the particle.
An orbiting satellite can charge by the photoelectric effect when sunlight ejects electrons from its outer surface. Satellites must be designed to minimize such charging because it can ruin the sensitive microelectronics. Suppose a satellite is coated with platinum, a metal with a very large function . Find the longest wavelength of incident sunlight that can eject an electron from the platinum.
An electron and a photon each have a wavelength of . What is the momentum (in ) of the (a) electron and (b) photon? What is the energy (in ) of the (c) electron and (d) photon?
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