Topic: Fluid Mechanics
The velocity of sound in a gaseous medium at a temperature of 400K is 400 ms^-1. If the temperature of the medium is increased to 600 K, the velocity of sound will be nearly
- A. 400 ms^-1
- B. 490 ms^-1
- C. 600 ms^-1
- D. None of there
Answer: B. 490 ms^-1
Explanation: Velocity of sound in a gaseous medium C = $\sqrt{gamma * R * T}$. Thus, C is proportional to $\sqrt{T}$. C2 = C1 * $\sqrt{T2/T1}$ = 400 * $\sqrt{600/400}$ = 489.89, which is approximately 490 m/s.