FIGURE Q39.4 shows the dot pattern of electrons landing on a screen. a. At what value or values of x is the electron probability density at maximum? Explain. b. Can you tell at what value or values of x the electron wave function c1x2 is most positive? If so, where? If not, why not?
a: x = -2, +2
b: x = -2, +2
Wave function of electron gives the value of its probability density in a certain region.
At x = -2, +2
Because as it can be seen in the given image, most number of electrons hit the screen at these locations so these are the regions where electron probability density will be maximum.
The wave function will also be most positive at x = -2, +2 because wave function tells about distribution of probability density of electron.
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
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?
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