---
title: "A wave driver oscillating at a constant frequency driver frequency operates on a stretched string of fixed linear mass density, generating a transverse periodic wave. A snapshot of the wave is taken as shown in the diagram. If the tension in the string is quadrupled while maintaining the same driver frequency, what is the ratio \\(\\dfrac{\\lambda_{\\text{new}}}{\\lambda_{\\text{old}}}\\) of the new wavelength to the original wavelength?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/117372/"
date_modified: "2026-08-04T06:52:00+00:00"
---

# A wave driver oscillating at a constant frequency driver frequency operates on a stretched string of fixed linear mass density, generating a transverse periodic wave. A snapshot of the wave is taken as shown in the diagram. If the tension in the string is quadrupled while maintaining the same driver frequency, what is the ratio \(\dfrac{\lambda_{\text{new}}}{\lambda_{\text{old}}}\) of the new wavelength to the original wavelength?

A wave driver oscillating at a constant frequency driver frequency operates on a stretched string of fixed linear mass density, generating a transverse periodic wave. A snapshot of the wave is taken as shown in the diagram. If the tension in the string is quadrupled while maintaining the same driver frequency, what is the ratio \(\dfrac{\lambda_{\text{new}}}{\lambda_{\text{old}}}\) of the new wavelength to the original wavelength?

![A snapshot graph displaying a single wavelength of a transverse sinusoidal wave on a string. The horizontal axis represents position x, and the vertical axis represents displacement y. The wave begins at the origin (0,0), reaches a positive peak, crosses the horizontal axis, reaches a negative trough, and completes one full cycle at x = L. A horizontal double-headed arrow spanning from x = 0 to x = L above the wave is labeled with the wavelength symbol \(\lambda_{\text{old}}\). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785826319-PQWawf.jpg)

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

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117372/*