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AP Physics 2
10.7 Conservation of Electric Energy
10.5 Electric Potential
10.3 Electric Fields
AdvancedMCQMathematicalProportional AnalysisConceptual13.5k
A horizontal schematic diagram showing two sequential regions from left to right. On the left, an accelerating region consists of two vertical dashed lines labeled with potential difference \(\Delta V\); a small dark circle labeled with charge \(+q\) and velocity vector \(\vec{v}_x\) pointing to the right moves across this region. To the right, a deflecting region consists of two horizontal parallel conducting plates of length \(L\). Vertical downward electric field vectors labeled \(\vec{E}\) are drawn between the plates. A curved dashed path shows a parabolic trajectory bending downward toward the lower plate, ending at a vertical displacement labeled \(y\) at the right exit edge of the plates. No other labels, lines, text, or axes appear.
Accelerating and deflecting regions for a charged particle.
Particle 1 with mass \(m\) and positive charge \(+q\), and Particle 2 with mass \(4m\) and positive charge \(+2q\), are each accelerated from rest through the same electric potential difference \(\Delta V\). Upon exiting the accelerating region, each particle horizontally enters a region between two parallel plates of length \(L\) that maintain a uniform vertical electric field \(E\). Which of the following is the ratio \(y_2/y_1\) of the vertical deflection of Particle 2 to that of Particle 1 as they exit the region between the plates?

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