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Chapter 3: Q22E (page 93)
To expose photographic films. photons of light dissociate silver bromide molecules which requires an energy of . What limit does this impose on the wavelengths that may be recorded by photographic film?
The wavelengths that may be recorded by photographic film is
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A radio station broadcasts of power. How many photons emanate from the transmitting antenna every second?
Compton used X-rays of 0.071nm wavelength. Some of the carbon鈥檚 electrons are too tightly bound to be stripped away by these X-rays, which accordingly interact essentially with the atom as a whole. In effect mein equation (3-8) is replaced by carbon鈥檚 atomic mass. Show that this explains why some X-rays of the incident wavelength were scattered at all angles.
Light of 300 nm wavelength strikes a metal plate, and photoelectrons are produced moving as fast as 0.002 c.(a) What is the work function of the metal? (b) What is the threshold wavelength for this metal?
In the Compton effect, we choose the electron to be at the origin and the initial photon's direction of motion to be in the+x-direction.
(a) We may also choose the xy-plane so that it contains the velocities of the outgoing electron and photon. Why? (b) The incoming photon's wavelength位is assumed to be known. The unknowns after the collision are the outgoing photon's wavelength and direction,位鈥�, and 胃,and the speed and direction of theelectron,ue,and蠒.With only three equationstwocomponents of momentum conservation and one of energy, we can't find all four. Equation(3鈭�8)gives位鈥瞚n terms of胃.Our lack of knowledge of 胃胃 after the collision (without an experiment) is directly related to a lack of knowledge of something before the collision. What is it? (imagine the two objects are hard spheres.) (c) Is it reasonable to suppose that we could know this? Explain.
From equations (3-4) to (3-6) obtain equations (3.8). It is easiest to start by eliminating 蠁 between equations (3-4) and (3-5) using cos2蠁+蝉颈苍2蠁 = 1 The electron speed u may then be eliminated between the remaining equations.
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