Material 1 has Young's modulus Y1 and density ρ1,material 2 has Young's modulus Y₂ and density ρ₂,and material 3 has Young's modulus Y3and density ρ₃.If Y1 Y₂ Y3and if ρ1

Question

Material 1 has Young's modulus Y1 and density ρ1,material 2 has Young's modulus Y₂ and density ρ₂,and material 3 has Young's modulus Y3and density ρ₃.If Y1> Y₂ > Y3and if ρ1< ρ2< ρ3,which material has the highest speed of sound? A)material 1 B)material 2 C)material 3 D)They could all have equal speeds of sound.

Quizplus · Accepted Answer

The speed of sound in a material is given by the formula $v = \sqrt{\frac{Y}{\rho}}$, where $Y$ is the Young's modulus and $\rho$ is the density of the material. Material 1 has the highest Young's modulus and the lowest density, which according to the formula, would result in the highest speed of sound.

Material 1 Has Young's Modulus Y1 and Density ρ1,material 2