Chapter 39: Q2 (page 1136)
What is the difference between the probability and the probability density?
Probability is a number defining chances of and event to occur whereas probability density is distribution of probability over a region in space.
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An experiment has four possible outcomes, labeled A to D. The probability of A is PA= 40% and of B is PB = 30%. Outcome C is twice as probable as outcome D. What are the probabilities PCand PD?
Consider a single-slit diffraction experiment using electrons. (Single-slit diffraction was described in Section 33.4.) Using Figure 39.5 as a model, draw
a. A dot picture showing the arrival positions of the first 40 or 50 electrons.
b. A graph of for the electrons on the detection screen.
c. A graph of for the electrons. Keep in mind that , as a wave-like function, oscillates between positive and negative.
What is the smallest one-dimensional box in which you can confine an electron if you want to know for certain that the electron's speed is no more than ?
A thin solid barrier in the plane has a diameter circular hole. An electron traveling in the direction with passes through the hole. Afterward, is it certain that is still zero? If not, within what range is likely to be?
Ultrasound pulses with a frequency of are transmitted into water, where the speed of sound is . The spatial length of each pulse is localid="1650889451408" localid="1650889457691" .
a. How many complete cycles are contained in one pulse?
b. What range of frequencies must be superimposed to create each pulse?
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