Velocity of a gas in sound is not proportional to (where, T = Absolute temperature of the gas. P = Absolute pressure of the gas. y = Ratio of specific heats (Cp/Cv) ρ = specific weight of the gas) ?

Question

Accepted Answer

1/√P. The speed of sound in a gas is proportional to $\sqrt{T/(ho(1+rac{	ext{gamma}-1}{	ext{gamma}})	ext{constant})}$. Since $P = ho R T$ (where $R$ is the specific gas constant), the velocity depends on pressure, making option B incorrect as it suggests an inverse square root relationship that is not generally true for proportionality.