In a region of space the electric field points along the -axis and has the following…

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

Problem

In a region of space the electric field E\mathbf{E} points along the +x+x-axis and has the following constant values: • E=+3.0 N/CE=+3.0\,\text{N/C} for 0≤x≤2.0 m0\le x\le2.0\,\text{m} • E=−1.0 N/CE=-1.0\,\text{N/C} for 2.0 m<x≤4.0 m2.0\,\text{m}<x\le4.0\,\text{m} The electric potential at x=0x=0 is defined to be 0 V0\,\text{V}. A proton starts from rest at x=0x=0 and moves only under the influence of this field. Which of the following most nearly equals the proton’s change in kinetic energy after it has reached x=4.0 mx=4.0\,\text{m}? (a) +9.6×10−19 J+9.6\times10^{-19}\,\text{J} (b) −6.4×10−19 J-6.4\times10^{-19}\,\text{J} (c) +1.28×10−18 J+1.28\times10^{-18}\,\text{J} (d) +6.4×10−19 J+6.4\times10^{-19}\,\text{J}

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