Q 11-14-012NEETJEE MainMedium
The speed of sound in a gas at $27°$C is $330$ m/s. At what temperature will it be $660$ m/s?
Answer: (D) $927°$C
Concept. In a gas $v \propto \sqrt{T}$ with $T$ in kelvin.
Step 1. Doubling the speed. Needs $4$ times the temperature: $4 \times 300 = 1200$ K.
Step 2. Convert. $1200 - 273 = 927°$C.
Answer. $927°$C (Option D).
Solution by Sreeraj P, M.Sc Physics