14. Consider the case of a “collision" between a photon and a free proton, initially at rest. What is the characteristic change in the wavelength of the scattered photon in units of nanometers? How does this compare with the Compton wavelength, ^c?
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- Platinum has a prominent x-ray emission line at 66.8 keV. (a) What is the minimum speed (in m/s) of an incident electron that could produce this emission line? m/s (b) What is the wavelength (in m) of a 66.8 keV x-ray photon? mHw10 q6 An X-ray photon scatters from a free electron at rest at an angle of 125 ∘ relative to the incident direction. a.If the scattered photon has a wavelength of 0.340 nm, what is the wavelength of the incident photon? ( nm) b.Determine the energy of the incident photon and the scattered photon. ( keV) c.Find the kinetic energy of the recoil electron. (eV)1. If it moves at a speed of 900 m/s, what is the wavelength (a) electrons; (b) 25000 kg aircraft; (c) Which of the two acts as a matter wave? explain! 2. Green light has a wavelength of 550 nm, through what potential difference must the electrons be accelerated to have a wavelength like this?
- 3. Light of wavelength 500. nm is incident on a metallic surface. If the stopping potential for the photoelectric effect is 0.450 V, find (a) the maximum kinetic energy of the emitted electrons, (b) the work function, and (c) the cutoff wavelength. 119. Considering the photoelectric effect; a) If a material has a cutoff wavelength of 780 nm what is the work function of the material? b) What is the maximum speed of liberated electrons when light with a wavelength of 410 nm is used to illuminate the material? If a liberated electron has 3.2349 eV of kinetic energy and it was a photon emitted from a hydrogen atom transition that liberated it, what energy level transition occurred? State both the initial and final energy level.Light of wavelength > light. = 5.34 × 10¹¹m is incident on an electron and undergoes Compton scattering at an angle of 0 = 13.1° from the direction of the incident What is the magnitude of the momentum of the scattered photon? ×10-25 Js/m
- 9. Considering the photoelectric effect; a) If a material has a cutoff wavelength of 780 nm what is the work function of the material? b) What is the maximum speed of liberated electrons when light with a wavelength of 410 nm is used to illuminate the material? c) If a liberated electron has 3.2349 eV of kinetic energy and it was a photon emitted from a hydrogen atom transition that liberated it, what energy level transition occurred? State both the initial and final energy level.1. A magnesium surface has a work function of 3.10 eV. Electromagnetic waves with a wavelength of 190 nm strike the surface and eject electrons. Find the maximum kinetic energy of the ejected electrons. Express your answer in volts. f60 C £60* ssf60 sthetic oss 50 ssf60 s ssf60 ssf ectron3. What speed must an electron have if its momentum is to be the same as that of an X-ray photon with a wavelength of 0.30 nm? m/s of19 o oof
- Which has the larger de Broglie wavelength, a 0.50 kg ball moving with a speed of 25 m/s or an electron traveling at 2/3 the speed of light? The mass of an electron is 9.11 x 10-31 kg and the speed of light is 3 x 108 m/s. Select one: a. It could be either, depending on the circumstances. b. The ball c. The electron4. If the incident photon has energy E (or hv), what is the maximum possible kinetic energy imparted to the scattered electron? At what angle o does this electron scatter?