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An electron and a proton are accelerated through the same potential difference. They acquire

  • A.different kinetic energies and the same momentum
  • B.the same kinetic energy but different speeds
  • C.the same speed but different kinetic energies
  • D.the same kinetic energy and the same speed

Answer: B

The energy gained is the charge times the potential difference, and the two particles carry equal charge magnitudes, so the energies are equal. The proton being about eighteen hundred times the more massive, its speed is smaller by the square root of that factor, some forty-three times slower than the electron.

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