Question

Sound waves are propagating in a medium. The moduli of isothermal and adiabatic elasticity of the medium are $E_T$ and $E_S$ respectively. The velocity of sound wave is proportional to

• A. $\sqrt{E_T}$
• B. $\sqrt{E_S}$
• C. $E_T$
• D. $\frac{E_S}{E_T}$

Answer 1

The correct option is B $\sqrt{E_S}$

Velocity of sound $V_s$ is given by

${V_s}^2={\left[\frac{\delta p}{\delta \rho }\right]}_S=E_S$

$V_s\propto \sqrt{E_S}$

Option 'B' is correct.