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Chapter 38: Q 4 (page 1114)
Photoelectrons are observed when a metal is illuminated by light with a wavelength less than 388 nm. What is the metal鈥檚 work function?
Work function of the metal is 3.2 eV
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Calculate all the wavelengths of visible light in the emission spectrum of the hydrogen atom.
In a photoelectric-effect experiment, the wavelength of light shining on an aluminum cathode is decreased from 250 nm to 200 nm. What is the change in the stopping potential?
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?
The allowed energies of a simple atom are , , and 6.00 . An electron traveling with a speed of collides with the atom. Can the electron excite the atom to the stationary state? The stationary state? Explain.
Dinoflagellates are single-cell organisms that float in the world鈥檚 oceans. Many types are bioluminescent. When disturbed, a typical bioluminescent dinoflagellate emits 108 photons in a 0.10-s-long flash of wavelength 460 nm. What is the power of the flash?
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