An electron is accelerated from rest by a total potential difference of 2.00 × 10⁸ V. Its mass at this energy is A) 9.1 × 10^-31 kg. B) 2.27 × 10^-33 kg. C) 1.67 × 10^-27 kg. D) 3.58 × 10^-28 kg. E) 1.12 × 10^-16 kg.

Question

Quizplus · Accepted Answer

The relativistic mass of an electron can be calculated using the energy-mass equivalence principle. The energy gained by the electron is E = eV = 2.00 × 10^8 eV = 3.2 × 10^-11 J. Using E = mc^2, the relativistic mass m = E/c^2 = 3.58 × 10^-28 kg.

An Electron Is Accelerated from Rest by a Total Potential