Please Note: It may not always be possible to include the necessary special characters, superscripts, subscripts, etc. in e-mail responses to this group of exercises. We suggest that you discuss this matter with your professor/class and decide upon a system for indicating such characters. You may cut/paste some characters and/or Greek letters from Microsoft Word, using the Insert menu. Alternatively, we suggest that you agree upon abbreviations for or spell out symbols, Greek letters, or characters and indicate superscripts and subscripts by using "sup", "sub", or up/down carats.

Determine the de Broglie wavelength of the following:

1			A 2.00 × 103-kg vehicle moving at 10 m/s Need a Hint?
2			A 5.00-keV proton Need a Hint?
3			A 5.00-keV photon Need a Hint?
4			An electron accelerated through a 1.00 × 104 V potential difference Need a Hint?
5			A proton moving 0.800 c Need a Hint?

Electrons that have been accelerated from rest through a 80.0-V potential difference are incident normal to a crystalline surface. First-order constructive interference of the reflected matter waves occurs at an angle of 70.0° with respect to the incident beam.

6			Final kinetic energy of the electrons in joules Need a Hint?
7			Final momentum of the electrons Need a Hint?
8			Wavelength of the associated matter waves Need a Hint?
9			Angle between the incident beam and the reflecting Bragg planes Need a Hint?
10			Spacing between the reflecting Bragg planes Need a Hint?
11			Kinetic energy of a proton with the same wavelength Need a Hint?
12			Kinetic energy of a neutron with the same wavelength Need a Hint?
13			Voltage through which you would have to accelerate a proton in order for it to have the same wavelength Need a Hint?

The position of a photon is known to within 1.00 × 10^-10 m.

14			Minimum uncertainty in its momentum Need a Hint?
15			Minimum uncertainty in its energy Need a Hint?
16			The minimum amount of time that must be taken to make the position measurement Need a Hint?

The wave function for a Hydrogen atom is in general written as <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0070524076/58011/ch28_image1.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>
Consider an excited hydrogen atom that is represented by <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0070524076/58011/ch28_image2.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>

17			The principal quantum number Need a Hint?
18			The energy in eV Need a Hint?
19			The orbital angular momentum quantum number Need a Hint?
20			The orbital angular momentum Need a Hint?
21			The maximum value of the projection of the orbital angular momentum onto the z axis Need a Hint?
22			The spin angular momentum Need a Hint?
23			The projection of the spin angular momentum onto the z axis Need a Hint?
24			The angle between the direction of L and the +z-axis Need a Hint?
25			The angle between the direction of S and the +z-axis Need a Hint?