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Question

A transverse wave travels on a string with a tension of 200 N and linear mass density of 0.025 kg/m.
What is the wavelength if the frequency is 40 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)) = √((200/0.025)) = √(8000) ≈ 89.4 m/s . Wavelength: λ = (v/v) = (89.4/40) ≈ 2.24 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 2.24 m, illustrating frequency-length-speed interdependence and quantization by boundaries.

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