AP Free Response Question
2006 Form B - B1
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An electron of mass
m
is initially moving with a constant speed
v
, where v << c . Express all algebraic answers in terms of the given quantities and fundamental constants.
(a) Determine the kinetic energy of the electron.
(b) Determine the de Broglie wavelength of the electron.
The electron encounters a particle with the same mass and opposite charge (a positron) moving with the same speed in the opposite direction. The two particles undergo a head-on collision, which results in the disappearance of both particles and the production of two photons of the same energy.
(c) Determine the energy of each photon.
(d) Determine the wavelength of each photon.
(e) Explain why there must be two photons produced instead of just one.
Topic Formulas
Description
Published Formula
mass-energy equivalence
photoelectric equation
photon energy
photon momentum
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