The density of a certain metal solid is 6.5 × 10³ kg/m³,and its Young's modulus is 10.0 × 10¹⁰ N/m².What is the speed of sound in this metal? A)8.1E+1 m/s B)1.2E+3 m/s C)3.9E+3 m/s D)1.2E+5 m/s. E)8.1E+1 m/s.

Question

Quizplus · Accepted Answer

The speed of sound in a solid is given by:
v = √(Y/ρ)
where Y is the Young's modulus and ρ is the density of the material.

Substituting the given values:
v = √(10.0 × 10^10 N/m^2 / 6.5 × 10^3 kg/m^3)
v = √(1.538 × 10^7 m^2/s^2)
v = 3.92 × 10^3 m/s

Therefore, the speed of sound in this metal is 3.9E+3 m/s, which is choice C.

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