A proton starts from rest and passes through five identical gaps in a linear accelerator

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

A proton starts from rest and passes through five identical gaps in a linear accelerator. Each gap provides an accelerating potential difference of 2.50 kV. What is the speed of the proton after it has passed through all five gaps? (Proton mass mp=1.67×10−27 kgm_p = 1.67\times10^{-27}\,\text{kg}, charge magnitude e=1.6×10−19 Ce = 1.6\times10^{-19}\,\text{C}.) (a) 1.5×106 m ⁣⋅ ⁣s−11.5\times10^{6}\,\text{m}\!\cdot\!\text{s}^{-1} (b) 7.0×105 m ⁣⋅ ⁣s−17.0\times10^{5}\,\text{m}\!\cdot\!\text{s}^{-1} (c) 2.2×106 m ⁣⋅ ⁣s−12.2\times10^{6}\,\text{m}\!\cdot\!\text{s}^{-1} (d) 1.1×106 m ⁣⋅ ⁣s−11.1\times10^{6}\,\text{m}\!\cdot\!\text{s}^{-1}

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