Chapter 39: Q 3 Exercise (page 1136)
You are dealt 1 card each from 1000 decks of cards. What is the expected number of picture cards (jacks, queens, and kings)?
Short Answer
Hence the expected number of picture cards is 231.
Chapter 39: Q 3 Exercise (page 1136)
You are dealt 1 card each from 1000 decks of cards. What is the expected number of picture cards (jacks, queens, and kings)?
Hence the expected number of picture cards is 231.
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Get started for freeThe probability density for finding a particle at position is
and zero elsewhere
|You learned in Chapter 37 that, except for hydrogen, the mass of a nucleus with atomic number Z is larger than the mass of the Z protons. The additional mass was ultimately discovered to be due to neutrons, but prior to the discovery of the neutron it was suggested that a nucleus with mass number A might contain A protons and (A-Z) electrons. Such a nucleus would have the mase of A protone, but ite net charge would be only Z o.
a. We know that the diameter of a nuclens is approximately 10 fmm. Model the nucleus as a one-dimensional box and find the minimum range of speeds that an electron would have in such a box.
b. What does your answer imply about the possibility that the nucleus contains electrons? Explain.
In an interference experiment with electrons, you find the most intense fringe is at x = 7.0 cm. There are slightly weaker fringes at x= 6.0 and 8.0 cm, still weaker fringes at x = 4.0 and 10.0 cm, and two very weak fringes at x= 1.0 and 13.0 cm. No electrons are detected at x <0 cm or x> 14 cm.
a. Sketch a graph of is for these electrons.
b. Sketch a possible graph of .
c. Are there other possible graph for? If so draw one
The wave function of a particle is
where b is a positive constant. Find the probability that the particle is located in the interval -bx b
FIGURE P39.32 shows for the electrons in an experiment.
a. Is the electron wave function normalized? Explain.
b. Draw a graph of over this same interval. Provide a numerical scale on both axes. (There may be more than one acceptable answer.)
c. What is the probability that an electron will be detected in a -wide region at? At ? At
d. If electrons are detected, how many are expected to land in the interval ?
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