Learning Materials
Features
Discover
Chapter 38: Q82P (page 1185)
Derive Eq. 38-11, the equation for the Compton shift, from Eqs. 38-8, 38-9, and 38-10 by eliminating v and .
The equation 38-11 is derived as follows:
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
A helium鈥搉eon laser emits red light at wavelength in a beam of diameter 3.5 mm and at an energy-emission rate of 5.0 mW. A detector in the beam鈥檚 path totally absorbs the beam. At what rate per unit area does the detector absorb photons?
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.
You wish to pick an element for a photocell that will operate via the photoelectric effect with visible light. Which of the following are suitable (work functions are in parentheses): tantalum (4.2 eV), tungsten (4.5 eV), aluminium (4.2 eV), barium (2.5 eV), lithium (2.3 eV) ?
Calculate the de Broglie wavelength of (a) a electron, (b) a photon, and (c) aneutron.
Question: Figure 38-13 shows a case in which the momentum component
of a particle is fixed so that ; then, from Heisenberg鈥檚 uncertainty principle (Eq. 38-28), the position x of the particle is completely unknown. From the same principle it follows that the opposite is also true; that is, if the position of a particle is exactly known , the uncertainty in its momentum is infinite.Consider an intermediate case, in which the position of aparticle is measured, not to infinite precision, but to within a distanceof , where is the particle鈥檚 de Broglie wavelength.Show that the uncertainty in the (simultaneously measured) momentumcomponent is then equal to the component itself; that is,. Under these circumstances, would a measured momentumof zero surprise you? What about a measured momentum of ? Of ? Of ?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine