AP Free Response Question
2008 Form B - B7
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Following a nuclear reaction, a nucleus of aluminum is at rest in an excited state represented by
as shown above left. The excited nucleus returns to the ground state
by emitting a gamma ray photon of energy 1.02 MeV, as shown above right. The aluminum nucleus in the ground state has a mass of 4.48 x 10
^{-26}
kg . Assume nonrelativistic equations apply to the motion of the nucleus.
(a) Calculate the wavelength of the emitted photon in meters.
(b) Calculate the momentum of the emitted photon in kg m/sec.
(c) Calculate the speed of the recoiling nucleus in m/sec.
(d) Calculate the kinetic energy of the recoiling nucleus in joules.
Topic Formulas
Description
Published Formula
elastic potential energy
impulse
kinetic energy
linear momentum
mass-energy equivalence
photoelectric equation
photon energy
photon momentum
potential energy
power
power
work
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