How does the wavelength of a standing wave in a vibrating string vary with the tension force in the string and/or the linear mass density of the string?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
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How does the wavelength of a standing wave in a vibrating string vary with the tension
force in the string and/or the linear mass density of the string?
Transcribed Image Text:How does the wavelength of a standing wave in a vibrating string vary with the tension force in the string and/or the linear mass density of the string?
Expert Solution
Step 1

We know that,

V= √(T/μ)

Where T is the tension in the string

μ is the linear mass density of the string

And,

λ = v/f.

Where λ is the wavelength

V is the velocity of wave

And f is the frequency

So, λ = √(T/μ)/f 

 

 

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