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Question

A transverse wave on a string has a tension of 200 N and a linear mass density of 0.04 kg/m. What is
the wavelength if the frequency is 25 Hz?

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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)) = √((200/0.04)) = √(5000) ≈ 70.71 m/s . Wavelength: λ = (v/v) = (70.71/25) ≈ 2.83 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 2.83 m, illustrating frequency-length-speed interdependence and quantization by boundaries.

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