Through what potential difference would an electron initially at rest need to be accelerated to have its total energy be triple its rest energy? (m_e = 9.11 *10^-31 kg, c = 3.00 *10⁸ m/s, and q_e = 1.6 *10 ^- ¹⁹ C) A) 5.1* 10⁵ V B) 1.6 *10^-19 V C) 1.0 *10⁶ V D) 2.6 *10⁵ V

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Quizplus · Accepted Answer

The total energy of an electron is given by E = γm_ec^2, where γ is the Lorentz factor. To triple the rest energy (m_ec^2), γ must be 3. Solving for the potential difference, V = (γ - 1)m_ec^2/q_e, gives approximately 1.0 x 10^6 V.

Through What Potential Difference Would an Electron Initially at Rest