---
title: "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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url: "https://nerd-notes.com/ubq/117462/"
date_modified: "2026-08-04T06:52:14+00:00"
---

# 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?

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?

![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.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785826333-oeAA6z.jpg)

- **A.** \(\dfrac{1}{2}\)
- **B.** \(1\)
- **C.** \(2\)
- **D.** \(4\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117462/*