Question

The velocity of sound in a solid medium varies with the elastic modulus ($\text{E}$) of the medium as:

• A. ${\text{E}}^{-0.5}$
• B. ${\text{E}}^2$
• C. ${\text{E}}^{0.5}$
• D. ${\text{E}}^{-1}$

Answer 1

The correct option is C ${\text{E}}^{0.5}$

In the case of solids, their elastic property affects the velocity of sound passing through them. The elastic property of solids is characterized by their elastic moduli. The velocity of sound is directly proportional to the square root of the elastic modulus, i.e. $\text{v}\propto \sqrt{\text{E}}$ or $\text{v}\propto {\text{E}}^{0.5}$