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An electron falls through a potential difference of 100 V. The energy it gains is

  • A.100 J
  • B.\( 1.6 \times 10^{-19} \) J
  • C.\( 1.6 \times 10^{-21} \) J
  • D.100 eV, that is \( 1.6 \times 10^{-17} \) J

Answer: D

Correct answer: 100 eV, that is \( 1.6 \times 10^{-17} \) J

A charge falling through a potential difference gains \( qV \) of energy, and for an electron through one volt that defines the electronvolt. Through 100 volts it gains 100 eV, which is \( 100 \times 1.6\times10^{-19} = 1.6\times10^{-17} \) joules - the two are the same quantity in different units.

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