An alpha particle (charge

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

An alpha particle (charge +2e+2e, mass 6.64×10−27 kg6.64\times10^{-27}\,\text{kg}) is initially at rest at the entrance to a linear accelerator in which each gap provides an accelerating potential difference of 1.80 kV. What is the minimum number of gaps the alpha particle must traverse to reach a speed of at least 3.0×106 m ⁣⋅ ⁣s−13.0\times10^{6}\,\text{m}\!\cdot\!\text{s}^{-1}? (a) 3636 (b) 5252 (c) 104104 (d) 2626

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