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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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The wave function of a particle is
and zero elsewhere
When 5 X 1012 photons pass through an experimental apparatus, 2.0 X 109 land in a 0.10-mm-wide strip. What is the probability density at this point?
FIGURE P39.31 shows the wave function of a particle confined
between x = 0 nm and x = 1.0 nm. The wave function is zero
outside this region.
a. Determine the value of the constant c, as defined in the figure.
b. Draw a graph of the probability density
c. Draw a dot picture showing where the first 40 or 50 particles
might be found.
d. Calculate the probability of finding the particle in the interval
.
A -mm-diameter sphere bounces back and forth between two walls at and . The collisions are perfectly elastic, and the sphere repeats this motion over and over with no loss of speed. At a random instant of time, what is the probability that the center of the sphere is
a. At exactly ?
b. Between and ?
c. At ?
In one experiment, 6000 photons are detected in a O.10-mm- wide strip where the amplitude of the electromagnetic wave is 200 V/m. What is the wave amplitude at a nearby 0.20-mm-wide strip where 3000 photons are detected?
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