What lie the winding of the Irasuliens? , and in the hydronics ? In what spectral range do these lie?
The given hydric lie are
We can begin by expressing our energy levels as follows:
In the same approach, we can determine out and transitions:
These wavelengths are all in the UV range.
a. Calculate the de Broglie wavelength of the electron in the states of the hydrogen atom. Use the information in Table 38.2 .
b. Show numerically that the circumference of the orbit for each of these stationary states is exactly equal to n de Broglie wavelengths.
c. Sketch the de Broglie standing wave for the orbit
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. A negatively charged electroscope can be discharged by shining an ultraviolet light on it. How does this happen?
b. You might think that an ultraviolet light shining on an initially uncharged electroscope would cause the electroscope to become positively charged as photoelectrons are emitted. In fact, ultraviolet light has no noticeable effect on an uncharged electroscope. Why not?
FIGURE Q38.5 is the current-versus-potential-difference graph for a photoelectric-effect experiment with an unknown metal. If classical physics provided the correct description of the photoelectric effect, how would the graph look if:
a. The light was replaced by an equally intense light with a shorter wavelength? Draw it.
b. The metal was replaced by a different metal with a smaller work function? Draw it.
94% of StudySmarter users get better grades.Sign up for free