Learning Materials
Features
Discover
Chapter 38: Q. 34 (page 1115)
Find the radius of the electron鈥檚 orbit, the electron鈥檚 speed, and the energy of the atom for the first three stationary states of
The atom's energy for the first three stationary state n=1,
Using, n = 2, localid="1650735518002"
Using, n = 3
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
The muon is a subatomic particle with the same charge as an electron but with a mass that is times greater: Physicists think of muons as "heavy electrons," However, the muon is not a stable particle; it decays with a half-life of into an electron plus two neutrinos. Muons from cosmic rays are sometimes "captured" by the nuclei of the atoms in a solid. A captured muon orbits this nucleus, like an electron, until it decays. Because the muon is often captured into an excited orbit , its presence can be detected by observing the photons emitted in transitions such as and .
Consider a muon captured by a carbon nucleus . Because of its long mass, the muon orbits well inside the electron cloud and is not affected by the electrons. Thus, the muon "sees" the full nuclear charge and acts like the electron in a hydrogen like ion.
a. What is the orbital radius and speed of a muon in the ground state? Note that the mass of a muon differs from the mass of an electron.
b. What is the wavelength of the muon transition?
c. Is the photon emitted in the transition infrared, visible, ultraviolet, or ray?
d. How many orbits will the muon complete during s? Is this a sufficiently large number that the Bohr model "makes sense, " even though the muon is not stable?
a. Explain why the graphs of Figure 38.3 are mostly horizontal for 鈭哣 > 0.
b. Explain why photoelectrons are ejected from the cathode with a range of kinetic energies, rather than all electrons having the same kinetic energy.
c. Explain the reasoning by which we claim that the stopping potential Vstop indicates the maximum kinetic energy of the electrons
What is the energy, in keV, of 75 keV x-ray photons that are backscattered (i.e., scattered directly back toward the source) by the electrons in a target?
An experiment was performed in which neutrons were shot through two slits spaced 0.10 mm apart and detected 3.5 m behind the slits. Figure P38.49 shows the detector output. Notice the scale on the figure. To one significant figure, what was the speed of the neutrons?
Draw an energy-level diagram, similar to Figure 38.21, for the ion. On your diagram:
a. Show the first five energy levels. Label each with the values of n and
b. Show the ionization limit.
c. Show all possible emission transitions from the n = 4 energy level.
d. Calculate the wavelengths (in nm) for each of the transitions in part c and show them alongside the appropriate arrow.
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