Question

For $1{}^{\circ }\text{C}$ rise in temperature, the velocity of sound in air falls by about $0.6{\text{m s}}^{-1}$.

• A. True
• B. False
• C. Depends on the pressure
• D. Cannot say

Answer 1

The correct option is B False

The velocity of sound in a gas is directly proportional to the square root of its temperature. The velocity of sound in a gas increases with the increase in temperature. Velocity at temperature $\text{t}{}^{\circ }\text{C}$ is given by the following equation: $\text{v}={\text{v}}_0+0.61\text{t}$, where ${\text{v}}_0$ is the velocity of sound in air at $0{}^{\circ }\text{C}$.

So, for every $1{}^{\circ }\text{C}$ rise in temperature, the velocity of sound in air rises by about $0.6{\text{m s}}^{-1}$.