Comment Edit Page Protect Tools 1. The photoelectric threshold wavelength of a tungsten surface is 270 nm. Calculate the maximum kinetic energy (in eV) of the electrons ejected from this tungsten surface by ultraviolet radiation of frequency 1.45 x 10'5 Hz. Whot ble light (390 750 nm)

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Chapter6: Photons And Matter Waves
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Problem 137AP: A laser with a power output of 2.00 mW at a 400-nm wavelength is used to project a beam of light...
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1. The photoelectric threshold wavelength of a tungsten surface is 270 nm. Calculate the
maximum kinetic energy (in eV) of the electrons ejected from this tungsten surface by
ultraviolet radiation of frequency 1.45 x 1015 Hz.
K
2. What would the min. work function for a metal have to be for visible light (380–750 nm)
to eject photoelectrons?
B
3. The cathode-ray tubes that generated the picture in early color televisions were sources of
X-rays. If the acceleration voltage in a television tube is 15 kV, what are the shortest-
wavelength x-rays produced by the television?
4. (a) What is the minimum potential difference between the filament and the target of an x-
ray tube if the tube is to produce x-rays with a wavelength of 0.16 nm? (b) What is the
shortest wavelength produced in an x-ray tube operated at 30 kV?
3E
5. A laser produces light of wavelength 620 nm in an ultrashort pulse. What is the minimum
duration of the pulse if the minimum uncertainty in the energy of the photons is 1%?
6. An x-ray with a wavelength of 0.1 nm collides with an electron that is initially at rest. The
x-ray's final wavelength is 0.119 nm. What is the final kinetic energy of the electron?
7. An ultrashort pulse has a duration of 7.2 fs and produces light at a wavelength of 522 nm.
What are the momentum and momentum uncertainty of a single photon in the pulse?
8. (a) An electron moves with a speed of 4.5 x 106 m/s. What is its de Broglie wavelength?
(b) A proton moves with the same speed. Determine its de Broglie wavelength.
9. An electron has a de Broglie wavelength of 2.79 Å. Determine (a) the magnitude of its
momentum and (b) its kinetic energy (in joules and in electron volts).
1/2
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Transcribed Image Text:WPS Office ASSIGNMENT 2.pdf + Sign in O Go Premium = Menu v Home Insert Comment Edit Page Protect Tools 1. The photoelectric threshold wavelength of a tungsten surface is 270 nm. Calculate the maximum kinetic energy (in eV) of the electrons ejected from this tungsten surface by ultraviolet radiation of frequency 1.45 x 1015 Hz. K 2. What would the min. work function for a metal have to be for visible light (380–750 nm) to eject photoelectrons? B 3. The cathode-ray tubes that generated the picture in early color televisions were sources of X-rays. If the acceleration voltage in a television tube is 15 kV, what are the shortest- wavelength x-rays produced by the television? 4. (a) What is the minimum potential difference between the filament and the target of an x- ray tube if the tube is to produce x-rays with a wavelength of 0.16 nm? (b) What is the shortest wavelength produced in an x-ray tube operated at 30 kV? 3E 5. A laser produces light of wavelength 620 nm in an ultrashort pulse. What is the minimum duration of the pulse if the minimum uncertainty in the energy of the photons is 1%? 6. An x-ray with a wavelength of 0.1 nm collides with an electron that is initially at rest. The x-ray's final wavelength is 0.119 nm. What is the final kinetic energy of the electron? 7. An ultrashort pulse has a duration of 7.2 fs and produces light at a wavelength of 522 nm. What are the momentum and momentum uncertainty of a single photon in the pulse? 8. (a) An electron moves with a speed of 4.5 x 106 m/s. What is its de Broglie wavelength? (b) A proton moves with the same speed. Determine its de Broglie wavelength. 9. An electron has a de Broglie wavelength of 2.79 Å. Determine (a) the magnitude of its momentum and (b) its kinetic energy (in joules and in electron volts). 1/2 > >I BD 00 1- O O 98% - 4:53 PM
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K
9. An electron has a de Broglie wavelength of 2.79 Å. Determine (a) the magnitude of its
momentum and (b) its kinetic energy (in joules and in electron volts).
10. (a) A nonrelativistic free particle with mass m has kinetic energy K. Derive an expression
for the de Broglie wavelength of the particle in terms of m and K. (b) What is the de Broglie
wavelength of an 800-eV electron?
B
11. What is the de Broglie wavelength for an electron with speed (a) v = 0.469c and (b) v =
0.958c? (Hint: Use the correct relativistic expression for linear momentum if necessary.)
1.
3E
12. Through what potential difference must electrons be accelerated if they are to have (a) the
same wavelength as an x ray of wavelength 0.22 nm and (b) the same energy as the x ray
in part (a)?
13. For crystal diffraction experiments, wavelengths on the order of 0.23 nm are often
appropriate. Find the energy in electron volts for a particle with this wavelength if the
particle is (a) a photon; (b) an electron; (c) an alpha particle (m =6.64 × 10-27 kg).
1/2
> >I
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Transcribed Image Text:WPS Office ASSIGNMENT 2.pdf + Sign in O Go Premium = Menu v Home Insert Comment Edit Page Protect Tools K 9. An electron has a de Broglie wavelength of 2.79 Å. Determine (a) the magnitude of its momentum and (b) its kinetic energy (in joules and in electron volts). 10. (a) A nonrelativistic free particle with mass m has kinetic energy K. Derive an expression for the de Broglie wavelength of the particle in terms of m and K. (b) What is the de Broglie wavelength of an 800-eV electron? B 11. What is the de Broglie wavelength for an electron with speed (a) v = 0.469c and (b) v = 0.958c? (Hint: Use the correct relativistic expression for linear momentum if necessary.) 1. 3E 12. Through what potential difference must electrons be accelerated if they are to have (a) the same wavelength as an x ray of wavelength 0.22 nm and (b) the same energy as the x ray in part (a)? 13. For crystal diffraction experiments, wavelengths on the order of 0.23 nm are often appropriate. Find the energy in electron volts for a particle with this wavelength if the particle is (a) a photon; (b) an electron; (c) an alpha particle (m =6.64 × 10-27 kg). 1/2 > >I BO 00 98% - 4:53 PM
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