If the tension in a length of string is doubled, the wavelength of standing waves in the string changes by what factor?Select one:a.1/√2b.1/2c.1d.2e.√2
Question
Solution 1
The speed of a wave on a string under tension is given by v = sqrt(T/μ), where T is the tension and μ is the linear mass density (mass/length).
If the tension is doubled, the speed of the wave becomes v' = sqrt(2T/μ) = sqrt(2) * sqrt(T/μ) = sqrt(2) * v.
The speed of a wave is also given by v = λ Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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