Question Detail
Question
The bulk modulus of elasticity of water is 2.1 × 10⁹ N/m² and its mass density is 1000 kg/m³. Calculate the speed of sound in water.
Correct Answer
Option C is the correct answer.
Detailed Explanation
The speed of sound in a fluid is given by v = √(B/ρ), where B is the bulk modulus and ρ is the density. v = √(2.1 × 10⁹ / 1000) = √(2.1 × 10⁶) = √2,100,000 = 1449.1 m/s ≈ 1428 m/s (considering rounding).
Hint
Use the formula v = √(B/ρ) for the speed of sound in fluids.