Question

Speed of sound wave in any medium is given by $v=\sqrt{\frac{a}{b}}$ then

• A. a = inertial property; b = elastic property
• B. a = elastic property; b = thermal property
• C. a = elastic property; b = inertial property
• D. a = thermal property; b = elastic property

Answer 1

The correct option is C a = elastic property; b = inertial property

Velocity of sound wave is given by:
$v=\sqrt{\frac{\beta }{\rho }}$ or $v=\sqrt{\frac{Y}{\rho }}$
Where,
$\beta =$ Bulk modulus
$Y=$Youn'g modulus
$\rho =$ Density

Comparing above equations with given equation, we can arrive at the conclusion:
$a\to$ elastic
$b\to$ inertial