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Home Q & A Board Science-Related Homework Help Physics
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mich625 mich625
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11 years ago
The kinetic energy of a particle is equal to the energy of a photon. The particle moves at 4.3% of the speed of light. Find the ratio of the photon wavelength to the de Broglie wavelength of the particle. Take the speed to be non-relativistic.
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fisajedifisajedi
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11 years ago
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11 years ago
The energy of a photon is given by:  

  E = hf = h c / ?, =>? = h c / E = h c / (½ mv²)

 The De Broglie wavelength is given by:

  ?' = h / p = h / (mv),  

  The required ratio is:

  ? / ?' = [h c / (½ mv²)] / [h / mv] = c / 0.5v

 and with v = 0.043 c;

  ? / ?' = c / (0.5*0.043c) = 2/0.043 = 46.51
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