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Assume electrons are accelerated through a potential difference of 22,000 V inside a TV picture tube. What is the minimum wavelength that could be produced.

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Presentation on theme: "Assume electrons are accelerated through a potential difference of 22,000 V inside a TV picture tube. What is the minimum wavelength that could be produced."— Presentation transcript:

1 Assume electrons are accelerated through a potential difference of 22,000 V inside a TV picture tube. What is the minimum wavelength that could be produced when the electrons strike the phosphor? {image} 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2 An electron has been accelerated by a potential difference of {image}
An electron has been accelerated by a potential difference of {image} . If its position is known to have an uncertainty of {image} , what is the percent uncertainty {image} of the electron? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3 What is the wavelength of a 44-kg teenager moving at 4 m/s ?
1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4 Suppose the position of an electron {image} could be measured to within {image} . What is the minimum uncertainty in the magnitude of its speed? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5 Assume the Heisenberg uncertainty principle can take the form {image}
Assume the Heisenberg uncertainty principle can take the form {image} . How accurate can the position of an electron be made if its speed is {image} and if the uncertainty in its energy is {image} ? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

6 Assume we can determine the position of a particle within an uncertainty of {image} . What will be the resulting uncertainty in the particle's momentum (in {image} )? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

7 Bohr's Principle of Complementarity states that the wave and particle aspects of either matter or radiation complement each other. What does this mean? The wavelength of the wave and the position of the particle or photon can always be measured simultaneously for free particles and radiation. Either the wavelength of the wave or the position of the particle or photon can be measured in a single experiment. The wavelength of the wave and the position of the particles or radiation can be measured simultaneously for systems confined to atomic dimensions. Either the wavelength of the wave or the position of the particle or photon can be measured in experiments, but only one of the two and not the other can ever be measured for particular particles or radiation. The wavelength of the wave and the position of the particle or photon can be measured simultaneously. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

8 Film behind a double slit is exposed to light in the following way: First one slit is opened and light is allowed to go through that slit for time {image} . Then it is closed and the other slit is opened and light is allowed to go through that slit for the same time {image} . Then the film is developed. What is the pattern? Two superimposed single slit patterns, their centers displaced from each other by the distance between the two slits. Random darkening of the film. (no pattern at all) Two double slit patterns, their centers displaced from each other by the distance between the two slits. One double slit pattern. One single slit pattern. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

9 Because the factor {image} on the right side of the Heisenberg uncertainty principle has units of Joule-seconds, it suggests that the energy of a system also has uncertainty. The uncertainty in energy depends on the length of the time interval during which a system exists. {image} . Suppose an unstable mass is produced during a high-energy collision such that the uncertainty in its mass is {image} . {image} How long (in s) will this particle exist? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

10 Find the uncertainty in the momentum (in {image} ) of an electron if the uncertainty in its position is equal to {image} . 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

11 Microscopes are inherently limited by the wavelength of the light used
Microscopes are inherently limited by the wavelength of the light used. How much smaller (in order of magnitude) can we ''see'' using an electron microscope whose electrons have been accelerated through a potential difference of 50,000 V than using red light (500 nm)? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

12 An electron is accelerated through a potential difference of 22,000 V
An electron is accelerated through a potential difference of 22,000 V . What is the de Broglie wavelength of the electron (in m)? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

13 How much energy is in a 84.9 MHz photon of FM-radiation?
1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

14 How much energy is in a 78 kHz photon of AM-radiation?
1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

15 When a photon collides with a free electron at rest, the direction of motion of the photon changes. Which statement is true? The momentum of the electron does not change. Both the magnitude of the momentum and the total energy of the photon decrease. The kinetic energy of the electron does not change. The total energy of the photon does not change. The magnitude of the momentum of the photon does not change. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

16 In an experiment different wavelengths of light, all able to eject photoelectrons, shine on a freshly prepared (oxide-free) zinc surface. Which statement is true? The number of photoelectrons emitted per second is directly proportional to the frequency for all the different wavelengths. The number of photoelectrons emitted per second is independent of the intensity of the light for all the different wavelengths. The maximum kinetic energy of the photoelectrons is proportional to the intensity of the light and independent of the frequency. The maximum kinetic energy of the photoelectrons has a linear relationship with the frequency for each wavelength present. The maximum kinetic energy of the photoelectrons emitted is directly proportional to the frequency for each wavelength present. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

17 A photon collides with an electron
A photon collides with an electron. Which of the following statements about the wavelength of the scattered wave after the collision is right? The wavelength of the scattered wave is equal to the initial wavelength. The wavelength of the scattered wave is greater than the initial wavelength. The wavelength of the scattered wave is less than or equal to the initial wavelength. The wavelength of the scattered wave is less or greater depending on the scattering angle. The wavelength of the scattered wave is greater than or equal to the initial wavelength. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

18 A photon whose wavelength is {image} is scattered straight backward
A photon whose wavelength is {image} is scattered straight backward. What is the wavelength of the scattered wave? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

19 A neutron has a mass of {image}. The de Broglie wavelength is {image}
A neutron has a mass of {image} . The de Broglie wavelength is {image} . What is its kinetic energy (in eV)? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

20 A neutron has a mass of {image}. The de Broglie wavelength is {image}
A neutron has a mass of {image} . The de Broglie wavelength is {image} . How fast is the neutron going? (in m/s) 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

21 A helium-neon laser emits red light having a wavelength of {image} and a power of {image} . How many photons are emitted each second? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

22 A solid state pulsed laser has an energy of {image} per pulse
A solid state pulsed laser has an energy of {image} per pulse. If its wavelength is {image} , how many photons are in each pulse? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

23 A photon whose energy is {image} is scattered off an electron at a {image} angle. What is the wavelength of the scattered wave? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

24 The light intensity incident on a metallic surface with a work function of 4 eV produces photoelectrons with a maximum kinetic energy of 3 eV. The frequency of the light is doubled. Determine the maximum kinetic energy (in eV). 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

25 The light intensity incident on a metallic surface produces photoelectrons with a maximum kinetic energy of 5 eV. The light intensity is doubled. Determine the maximum kinetic energy of the photoelectrons (in eV). 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

26 What is the maximum kinetic energy (in eV) of a photoelectron when a surface, whose work function is 4.8 eV , is illuminated by photons whose wavelength is 410 nm? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

27 What is the maximum kinetic energy (in eV) of a photoelectron emitted from a surface whose work function is 5.5 eV when illuminated by a light whose wavelength is 170 nm? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

28 A stopping potential of 3
A stopping potential of 3.1 eV is needed for radiation whose wavelength is 250 nm. What is the work function (in eV) of the material? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

29 What is the maximum velocity (in km/s) of a photoelectron emitted from a surface whose work function is 4.8 eV when illuminated by a light whose wavelength is 190 nm? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

30 The threshold wavelength for photoelectric emission of a particular substance is 460 nm. What is the work function (in eV)? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

31 What is the number of photons per second passing a plane perpendicular to a collimated monochromatic (one frequency) beam of light transporting power {image} directly proportional to? The power of the beam. The frequency of the light and the power of the beam. The wavelength of the light and the power of the beam. The frequency of the light. The wavelength of the light, the frequency of the light and the power of the beam. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

32 A neutron has a mass of {image}. Its de Broglie wavelength is {image}
A neutron has a mass of {image} . Its de Broglie wavelength is {image} . What temperature (in {image} ) would it correspond to if we had a monatomic gas having the same average kinetic energy? 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

33 Which statement is true?
A quantum particle travels at the phase speed of the infinitely long wave having the highest frequency. A quantum particle can be localized in space. A quantum particle can be represented by an infinitely long wave having a single frequency. A quantum particle can be represented by a wave packet. A quantum particle has the highest probability of being present in those regions of space where its component waves interfere destructively. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

34 Your temperature is {image}
Your temperature is {image} . Assuming your skin is a perfect radiator {image} , determine the wavelength corresponding to the largest intensity (in {image} ). 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

35 The figure below shows two stars in the constellation Orion
The figure below shows two stars in the constellation Orion. Betelgeuse appears to glow red, while Rigel looks blue in color. {image} Which star has a higher surface temperature? Betelgeuse. Rigel. They both have the same surface temperature. Impossible to determine. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

36 While standing outdoors one evening, you are exposed to the following four types of electromagnetic radiation: (a) yellow light from a sodium street lamp, (b) radio waves from an AM radio station, (c) radio waves from an FM radio station, (d) microwaves from an antenna of a communications system. Rank these types of waves in terms of increasing photon energy, lowest first. 1. (b), (c), (d), (a) (c), (b), (d), (a) (b), (c), (a), (d) (c), (b), (a), (d) (a), (b), (c), (d) 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

37 Consider one of the curves in the figure below
Consider one of the curves in the figure below. Suppose the intensity of the incident light is held fixed but its frequency is increased. {image} The stopping potential _____. remains fixed moves to the right moves to the left 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

38 Note that for any given scattering angle {image} the equation {image} gives the same value for the Compton shift for any wavelength. Keeping this in mind, for which of the following types of radiation is the fractional shift in wavelength at a given scattering angle the largest? Radio waves. Microwaves. Visible light. x-rays. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

39 Speed. Kinetic energy. Momentum. Frequency.
An electron and a proton both moving at nonrelativistic speeds have the same de Broglie wavelength. Which of the following are also the same for the two particles? Speed. Kinetic energy. Momentum. Frequency. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

40 The Compton wavelength. The de Broglie wavelength. Both wavelengths.
We have discussed two wavelengths associated with the electron-the Compton wavelength and the de Broglie wavelength. Which is an actual physical wavelength associated with the electron? The Compton wavelength. The de Broglie wavelength. Both wavelengths. Neither wavelength. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

41 the group speed is the same as the phase speed
As an analogy to wave packets, consider an "automobile packet" that occurs near the scene of an accident on a freeway. The phase speed is analogous to the speed of individual automobiles as they move through the backup caused by the accident. The group speed can be identified as the speed of the leading edge of the packet of cars. For the automobile packet, _____. the group speed is the same as the phase speed the group speed is less than the phase speed the group speed is greater than the phase speed 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

42 As another analogy to wave packets, consider a "runner packet" that occurs at the start of a footrace of length {image} As the runners begin the race, the packet of runners spreads in size as the faster runners outpace the slower runners. The phase speed is the speed of a single runner, while we can identify the group speed {image} as the speed with which the average position of the entire packet of runners moves. The time interval for the winning runner to run the race is _____. 1. greater than {image} equal to {image} less than {image} 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

43 The location of a particle is measured and specified as being exactly at {image} with zero uncertainty in the {image} direction. How does this affect the uncertainty of its velocity component in the {image} direction? It does not affect it. It makes it infinite. It makes it zero. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

44 the bright area on the screen is unchanged
A quantum argument for the phenomenon of diffraction of light claims that photons passing through a narrow slit have been localized to the width of the slit. Because we have gained information about their position, they must have a larger uncertainty in momentum along the plane of the screen in which the slit is cut. Thus, the photons gain momentum perpendicular to their original direction of propagation and spread out, forming on a screen a bright area that is wider than the slit. Suppose we are observing diffraction of light and suddenly Planck's constant drops to half its previous value. This quantum argument for diffraction would claim that _____. the bright area on the screen is unchanged the bright area on the screen becomes wider the bright area on the screen becomes narrower 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

45 A photon with wavelength {image} moves toward a free electron that is moving with speed {image} in the same direction as the photon (see the figure below (a)). The photon scatters at an angle {image} (see the figure below (b)). What is the wavelength of the scattered photon? {applet} {image} 1. 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50


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