Macmillan Learning A string has a mass of 12.7 g. The string is stretched with a force of 8.71 N, giving it a length of 1.95 m. Then, the string vibrates transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. What is the wavelength of the standing wave created in the string? wavelength: What is the frequency of the standing wave? frequency: m Hz

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question 11 of 12**

A string has a mass of 12.7 g. The string is stretched with a force of 8.71 N, giving it a length of 1.95 m. Then, the string vibrates transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. What is the wavelength of the standing wave created in the string?

- **Wavelength:** [_______] m

What is the frequency of the standing wave?

- **Frequency:** [_______] Hz

*(© Macmillan Learning)*

**Explanation:**

This question involves determining the wavelength and frequency for a string that vibrates in its fourth harmonic. When a string vibrates in harmonics, its length is divided into distinct segments, affecting the characteristics of the waves that form.
Transcribed Image Text:**Question 11 of 12** A string has a mass of 12.7 g. The string is stretched with a force of 8.71 N, giving it a length of 1.95 m. Then, the string vibrates transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. What is the wavelength of the standing wave created in the string? - **Wavelength:** [_______] m What is the frequency of the standing wave? - **Frequency:** [_______] Hz *(© Macmillan Learning)* **Explanation:** This question involves determining the wavelength and frequency for a string that vibrates in its fourth harmonic. When a string vibrates in harmonics, its length is divided into distinct segments, affecting the characteristics of the waves that form.
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