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1. List similarities and differences between phonons and photons.

2. At low densities and high temperatures the Bose gas behaves like a classical ideal gas. Make this result plausible physically.

3. In writing about experiments on the scattering of a particles in helium Rutherford said, "On account of the impossibility of distinguishing between the scattered alpha particles and the projected He nuclei, the results are subject to a certain ambiguity." Explain how an awareness of quantum statistics could have removed the ambiguity. What determines whether a gas obeys Bose or Fermi distributions?

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