Chapter 39: Q 10 Exercise (page 1136)
What are the units of ? Explain.
Short Answer
Hence, the unit is m-1/2
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Chapter 39: Q 10 Exercise (page 1136)
What are the units of ? Explain.
Hence, the unit is m-1/2
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The probability density for finding a particle at position is
and zero elsewhere
A proton is confined within an atomic nucleus of diameter. Use a one-dimensional model to estimate the smallest range of speeds you might find for a proton in the nucleus.
|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.
Suppose you toss three coins into the air and let them fall on the floor. Each coin shows either a head or a tail.
a. Make a table in which you list all the possible outcomes of this experiment. Call the coins A, B, and C.
b. What is the probability of getting two heads and one tail?
c. What is the probability of getting at least two heads?
A small speck of dust with mass has fallen into the hole shown in FIGURE P39.46 and appears to be at rest. According to the uncertainty principle, could this particle have enough energy to get out of the hole? If not, what is the deepest hole of this width from which it would have a good chance to escape?
FIGURE P39.46
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