Correct Answer - Option 2 :
\(c~=~\sqrt{\gamma RT}\)
Concept:
Velocity of sound:
Velocity of sound according to Newton's formula after Laplace correction is given by:
\(v = \sqrt {\frac{{\gamma P}}{ρ }} \)
where P is pressure and ρ is the density of the medium.
As we know
P = ρRT
∴ Velocity of sound will become:
\(v = \sqrt {\frac{{\gamma P}}{\rho }} = \sqrt {\frac{{\gamma RT}}{M}}\)
for unit mass:
\(v=\sqrt {{{\gamma RT}}{}}\)
