The Speed $V$ Of Sound Waves in a Gas Like Air Might Plausibly

Multiple Choice

The speed $V$ of sound waves in a gas like air might plausibly depend on the gas's pressure $P$ (which has units of $\mathrm{N} / \mathrm{m}^{2}$ ) , the gas's density $\rho$ (which has units of $\mathrm{kg} / \mathrm{m}^{3}$ ) and its temperature $T$ (which has units of $\mathrm{K}$ ) , and some unitless constant $C$ . Assuming that no other quantities are relevant, which of the following formulas might possibly correctly give the speed of sound in a gas?

A) $v=\mathrm{CP} \rho \mathrm{T}$
B) $v=\mathrm{CTP} / \rho$
C) $V=\mathrm{CP} / \rho$
D) $v=C \sqrt{P / \rho}$
E) $V=C \sqrt{\rho / P}$
F) $v=\mathrm{C}(\mathrm{P} / \rho) ^{2}$
G) None of these can be correct.