---
title: "Particle \\(X\\) has mass \\(m\\), and particle \\(Y\\) has mass \\(4m\\). Both particles move such that they have the exact same magnitude of linear momentum \\(p_0\\). What is the ratio \\(\\dfrac{\\lambda_X}{\\lambda_Y}\\) of the de Broglie wavelength of particle \\(X\\) to the de Broglie wavelength of particle \\(Y\\)?"
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url: "https://nerd-notes.com/ubq/116473/"
date_modified: "2026-08-04T05:02:07+00:00"
---

# Particle \(X\) has mass \(m\), and particle \(Y\) has mass \(4m\). Both particles move such that they have the exact same magnitude of linear momentum \(p_0\). What is the ratio \(\dfrac{\lambda_X}{\lambda_Y}\) of the de Broglie wavelength of particle \(X\) to the de Broglie wavelength of particle \(Y\)?

Particle \(X\) has mass \(m\), and particle \(Y\) has mass \(4m\). Both particles move such that they have the exact same magnitude of linear momentum \(p_0\). What is the ratio \(\dfrac{\lambda_X}{\lambda_Y}\) of the de Broglie wavelength of particle \(X\) to the de Broglie wavelength of particle \(Y\)?

- **A.** \(1\)
- **B.** \(2\)
- **C.** \(4\)
- **D.** \(16\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116473/*