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In later experiments, Compton observed that electrons were ejected from the graphite block during the experiment He suggested that the X-ray photons collided with electrons in the graphite target and transferred energy and momentum to them Compton thought that these photonelectron collisions were similar to the elastic collisions experienced by billiard balls, as shown in Figure 27-8 He tested this idea by measuring the energy of the ejected electrons Compton found that the energy and momentum gained by the electrons equaled the energy and momentum lost by the photons Thus, photons obey the laws of conservation of momentum and energy when they are involved in collisions with other particles
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271 Section Review
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10 Photoelectric Effect Why is high-intensity, lowfrequency light unable to eject electrons from a metal, whereas low-intensity, high-frequency light can Explain 11 Frequency and Energy of Hot-Body Radiation As the temperature of a body is increased, how does the frequency of peak intensity change How does the total amount of radiated energy change 12 Photoelectric and Compton Effects An experimenter sends an X ray into a target An electron, but no other radiation, emerges from the target Explain whether this event is a result of the photoelectric effect or the Compton effect 13 Photoelectric and Compton Effects Distinguish the photoelectric effect from the Compton effect 14 Photoelectric Effect Green light ( 532 nm) strikes an unknown metal, causing electrons to be ejected The ejected electrons can be stopped by a potential of 144 V What is the work function, in eV, of the metal
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15 Energy of a Photon What is the energy, in eV, of the photons produced by a laser pointer having a 650-nm wavelength 16 Photoelectric Effect An X ray is absorbed in a bone and releases an electron If the X ray has a wavelength of approximately 002 nm, estimate the energy, in eV, of the electron 17 Compton Effect An X ray strikes a bone, collides with an electron, and is scattered How does the wavelength of the scattered X ray compare to the wavelength of the incoming X ray 18 Critical Thinking Imagine that the collision of two billiard balls models the interaction of a photon and an electron during the Compton effect Suppose the electron is replaced by a much more massive proton Would this proton gain as much energy from the collision as the electron does Would the photon lose as much energy as it does when it collides with the electron
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he photoelectric effect and Compton scattering showed that a massless electromagnetic wave has momentum and energy, like a particle If an electromagnetic wave has particlelike properties, could a particle exhibit interference and diffraction, as a wave does In other words, does a particle have wavelike properties In 1923, French physicist Louis de Broglie proposed just this, that material particles have wave properties This proposal was so extraordinary that it was ignored by other scientists until Einstein read de Broglie s papers and supported his ideas
Objectives
Describe evidence of the wave nature of matter Solve problems involving the de Broglie wavelength of particles Describe the dual nature of waves and particles, and the importance of the Heisenberg uncertainty principle
De Broglie Waves
Recall that the momentum of an object is equal to its mass times its velocity, p mv By analogy with the momentum of a photon, p h/ , de Broglie proposed that the momentum of a particle is represented by the following equation: h p mv The wavelength in the above relationship represents that of the moving particle and is known as the de Broglie wavelength The following equation solves directly for the de Broglie wavelength De Broglie Wavelength
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