Speed of sound and temperature – Rankers Physics

Sound Wave and its Characteristics: Practice Problem & Solution

If speed of sound in air at 27°C is v then at what temperature speed of sound becomes 2v?
1200°C
927 K
52°C
927°C

Solution Explained:

To solve this problem, we apply the core principles of Sound Wave and its Characteristics. Understanding the underlying formula is key to arriving at the correct answer below:

Since speed \(v \propto \sqrt{T}\), to double the speed, the temperature in Kelvin must quadruple: \(T_2 = 4 \times (27 + 273) = 1200\text{ K}\) or \(927^\circ\text{C}\).

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