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Question

A string of length 1.2 m and mass 0.024 kg has a wave speed of 50 m/s. What is the tension?

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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. μ = (0.024/1.2) = 0.02 kg/m . v = √((T/μ)) ⇒ 50 = √((T/0.02)) ⇒ 50² = (T/0.02) . T = 2500 × 0.02 = 50 N . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 50 N, illustrating frequency-length-speed interdependence and quantization by boundaries.

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