The relation between the speed of sound {v) and the absolute temperature {T) of a gas is given by:

Correct Answer: B — v ∝ √T
Explanation
The speed of sound in a gas depends on the elastic properties of the gas and its density. For an ideal gas, the speed of sound is given by the formula:
v = √(γRT / M)
where:
· v = speed of sound in the gas
· γ = ratio of specific heats (constant for a given gas)
· R = universal gas constant
· T = absolute temperature of the gas (in Kelvin)
· M = molar mass of the gas
For a given gas:
· γ, R, and M are constants
Therefore, the relation reduces to:
v ∝ √T
This shows that the speed of sound in a gas is directly proportional to the square root of its absolute temperature.