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The bulk modulus of water is 0.210 × 1010 N/m2 and the density is 1000 kg/m3. The speed of sound in water is

Question

The bulk modulus of water is 0.210 × 10^10 N/m² and the density is 1000 kg/m³. The speed of sound in water is

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Solution

The speed of sound in a medium can be calculated using the formula:

v = sqrt(B/ρ)

where: v is the speed of sound, B is the bulk modulus, and ρ is the density of the medium.

Given: B = 0.210 × 10^10 N/m^2 ρ = 1000 kg/m^3

Substituting these values into the formula, we get:

v = sqrt((0.210 × 10^10 N/m^2) / (1000 kg/m^3))

Solving this equation will give us the speed of sound in water.

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