Match Column - $A$ with Column - $B$.

Column - $A$	Column - $B$
$(a)$ Speed of longitudinal waves in gas and liquid.	$(i)$ $v = \sqrt{\frac{B}{\rho}}$
$(b)$ Speed of longitudinal waves in solid rod.	$(ii)$ $v = \sqrt{\frac{Y}{\rho}}$
$(c)$ Speed of sound in air according to Newton.	$(iii)$ $v = \sqrt{\frac{P}{\rho}}$
$(d)$ Speed of sound in air according to Laplace.	$(iv)$ $v = \sqrt{\frac{\gamma P}{\rho}}$

(A) The speed of longitudinal waves in a medium is given by $v = \sqrt{\frac{B}{\rho}}$,where $B$ is the bulk modulus and $\rho$ is the density. Thus,$(a) - (i)$.
For a solid rod,the speed of longitudinal waves is $v = \sqrt{\frac{Y}{\rho}}$,where $Y$ is Young's modulus. Thus,$(b) - (ii)$.
According to Newton,sound propagation in air is an isothermal process,giving $v = \sqrt{\frac{P}{\rho}}$. Thus,$(c) - (iii)$.
According to Laplace,sound propagation in air is an adiabatic process,giving $v = \sqrt{\frac{\gamma P}{\rho}}$. Thus,$(d) - (iv)$.
The correct matching is $(a-i, b-ii, c-iii, d-iv)$.