---
title: "A wave source moves at a constant speed to the right through a uniform, stationary medium while continuously emitting waves of frequency \\(f_0\\) and wavelength \\(\\lambda_0\\). Two stationary detectors, Detector \\(X\\) and Detector \\(Y\\), are located along the line of motion to the right and left of the source, respectively, as shown in the diagram. Which of the following correctly compares the frequency \\(f_X\\) detected at Detector \\(X\\) to \\(f_0\\), and the wavelength \\(\\lambda_X\\) near Detector \\(X\\) to the wavelength \\(\\lambda_Y\\) near Detector \\(Y\\)?"
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url: "https://nerd-notes.com/ubq/117334/"
date_modified: "2026-08-04T06:51:51+00:00"
---

# A wave source moves at a constant speed to the right through a uniform, stationary medium while continuously emitting waves of frequency \(f_0\) and wavelength \(\lambda_0\). Two stationary detectors, Detector \(X\) and Detector \(Y\), are located along the line of motion to the right and left of the source, respectively, as shown in the diagram. Which of the following correctly compares the frequency \(f_X\) detected at Detector \(X\) to \(f_0\), and the wavelength \(\lambda_X\) near Detector \(X\) to the wavelength \(\lambda_Y\) near Detector \(Y\)?

A wave source moves at a constant speed to the right through a uniform, stationary medium while continuously emitting waves of frequency \(f_0\) and wavelength \(\lambda_0\). Two stationary detectors, Detector \(X\) and Detector \(Y\), are located along the line of motion to the right and left of the source, respectively, as shown in the diagram. Which of the following correctly compares the frequency \(f_X\) detected at Detector \(X\) to \(f_0\), and the wavelength \(\lambda_X\) near Detector \(X\) to the wavelength \(\lambda_Y\) near Detector \(Y\)?

![A diagram depicting circular wavefronts emitted by a wave source S moving to the right through a medium. The source S is a solid dot located to the right of the center of several non-concentric circular wavefronts. The circular lines are bunched closely together on the right side of S and widely spaced on the left side of S. A horizontal arrow labeled v_s points to the right from S. Detector X is shown as a small square labeled X to the right of the outermost circle. Detector Y is shown as a small square labeled Y to the left of the outermost circle. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785826311-Ucapi3.jpg)

- **A.** \(f_X < f_0\) and \(\lambda_X > \lambda_Y\)
- **B.** \(f_X > f_0\) and \(\lambda_X < \lambda_Y\)
- **C.** \(f_X > f_0\) and \(\lambda_X > \lambda_Y\)
- **D.** \(f_X < f_0\) and \(\lambda_X < \lambda_Y\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117334/*