Question

The isothermal elasticity of a medium is $E_i$ and the adiabatic elasticity is $E_a$. The velocity of the sound in the medium is proportional to :

• A. $\sqrt{E_i}$
• B. $E_a$
• C. $\sqrt{E_a}$
• D. $E_i$

Answer 1

Answer: (C)

$\sqrt{E_a}$

For longitudinal sound waves in gasses velocity of sound v,

$v=\sqrt{\frac{\gamma E_i}{d}}$,

$\gamma =C_P/C_V$,

$E_i$ isothermal elasticity of medium,

$d$ density of the medium.

$E_a=\gamma E_i$

Option "C" is correct.