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Question

A transverse wave on a string has a tension of 90 N and a linear mass density of 0.01 kg/m. What is the
frequency if the wavelength is 1.5 m?

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Explanation

**Transverse wave velocity** depends on medium not frequency alone. For string under tension, v ∝ √(T/μ), calculation requires μ from mass and length, then square root evaluation, giving v in m/s, then f = v/λ for given wavelength. Speed: v = √((T/μ)) = √((90/0.01)) = √(9000) ≈ 94.87 m/s . Frequency: v = (v/λ) = (94.87/1.5) ≈ 63.25 Hz . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 63 Hz, illustrating frequency-length-speed interdependence and quantization by boundaries.

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