Material 1 has Young's modulus Y₁ and density ρ₁,and material 2 has Young's modulus Y₂and density ρ₂.If Y₁ is 30% more than Y₂ and ρ₁ is 30% less than ρ₂,which material has the higher speed of sound and how much higher is it? A)Material 1 has a speed of sound more than 35% higher than material 2. B)Material 1 has a speed of sound 30% higher than material 2. C)Material 2 has a speed of sound more than 80% higher than material 1. D)Material 2 has a speed of sound 30% higher than material 1.

Question

Quizplus · Accepted Answer

The speed of sound in a material is given by $v = \sqrt{\frac{Y}{\rho}}$, where $Y$ is Young's modulus and $\rho$ is the density. Material 1 has a 30% higher Young's modulus and a 30% lower density compared to Material 2, which significantly increases the speed of sound in Material 1 compared to Material 2, making it more than 35% higher.

Material 1 Has Young's Modulus Y1 and Density ρ​1,and Material

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