Practice question
Question
A transverse wave on a string has a tension of 150 N and a linear mass density of 0.02 kg/m. What is
the frequency if the wavelength is 2.5 m?
Explanation
**Energy transport** in waves scales with amplitude squared A² and frequency squared ω². Wave speed determines propagation rate, and understanding T and μ allows quantitative prediction of v and associated frequencies. Speed: v = √((T/μ)) = √((150/0.02)) = √(7500) ≈ 86.6 m/s . Frequency: v = (v/λ) = (86.6/2.5) ≈ 34.64 Hz . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 34.6 Hz, illustrating frequency-length-speed interdependence and quantization by boundaries.
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