Answered: What is the wavelength of this wave?…

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

A wave on a string has the wavefunction y(x,t)=0.075sin(16.3x−1.78t) where x and y are in meters and t is in seconds. What is the wavelength of this wave? What is the frequency of this wave in Hertz? What is the speed of this wave?

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Expert Solution

Step 1

The general form of the wave function of a wave can be represented as,

Here, y₀, k, ω, and t represent the wave’s amplitude, the wavenumber, the wave’s angular frequency, and the time, respectively.

The given wave function is,

Comparing both the equation,

The wave’s wavelength can be determined as,

Substitute the relevant values.

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