The bulk modulus of mercury is 2.85 × 1010 N/m2. If the density of mercury is 1.36 × 104 kg/m3, then what is the speed of sound in mercury?
Question
The bulk modulus of mercury is 2.85 × 10^10 N/m². If the density of mercury is 1.36 × 10^4 kg/m³, then what is the speed of sound in mercury?
Solution
The speed of sound in a medium is given by 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 = 2.85 × 10^10 N/m^2 (bulk modulus of mercury) ρ = 1.36 × 10^4 kg/m^3 (density of mercury)
Substituting these values into the formula, we get:
v = sqrt((2.85 × 10^10 N/m^2) / (1.36 × 10^4 kg/m^3))
Solving this will give us the speed of sound in mercury.
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