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Question

The bulk modulus of water is 2.2 × 10⁹ Pa and its density is 1000 kg/m³. What is the speed of sound in
water?

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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 = √((B/rho)) = √((2.2 × 10⁹/1000)) = √(2.2 × 10⁶) ≈ 1483 m/s . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 1480 m/s, illustrating frequency-length-speed interdependence and quantization by boundaries.

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