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Chapter 6: Q 6DQ (page 1519)
Under what conditions does the magnitude of the average velocity equal the average speed?
The magnitude of average velocity is equal to average speed when the distance traveled by the object is equal to the displacement in the same direction.
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You are standing on a train platform watching a high-speed train pass by. A light inside one of the train cars is turned on and then a little later it is turned off. (a) Who can measure the proper time interval for the duration of the light: you or a passenger on the train? (b) Who can measure the proper length of the train car: you or a passenger on the train? (c) Who can measure the proper length of a sign attached to a post on the train platform: you or a passenger on the train? In each case explain your answer.
During the photoelectric effect, light knocks electrons outof metals. So why don鈥檛 the metals in your home lose their electrons when you turn on the lights?
(a) The x-coordinate of an electron is measured with an uncertainty of 0.30 mm. What is the x-component of the electron鈥檚 velocity,
if the minimum percent uncertainty in a simultaneous measurement of
is 1.0% ?(b) Repeat part (a) for a proton.
In an experiment involving the photoelectric effect, if the intensity of the incident light (having frequency higher than the threshold frequency) is reduced by a factor of 10 without changing anything else, which (if any) of the following statements about this process will be true? (a) The number of photoelectrons will most likely be reduced by a factor of 10. (b) The maximum kinetic energy of the ejected photoelectrons will most likely be reduced by a factor of 10. (c) The maximum speed of the ejected photoelectrons will most likely be reduced by a factor of 10. (d) The maximum speed of the ejected photoelectrons will most likely be reduced by a factor of 110. (e) The time for the first photoelectron to be ejected will be increased by a factor of 10.
A particle is in the ground level of a box that extends from x= 0 to x= L. (a) What is the probability of finding the particle in the region between 0 and L/4? Calculate this by integrating , where c is normalized, from x= 0 to x= L/4. (b) What is the probability of finding the particle in the region x= L/4 to x= L/2 ? (c) How do the results of parts (a) and (b) compare? Explain. (d) Add the probabilities calculated in parts (a) and (b). (e) Are your results in parts (a), (b), and (d) consistent with Fig. 40.12b? Explain.
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