Question

The velocity of sound in air at ${47}^{\circ }C$ is $360m{s}^{-1}$. Calculate the velocity of sound in air at ${17}^{\circ }C$

• A. 300 m/s
• B. 342.8 m/s
• C. 394.2 m/s
• D. 410 m/s

Answer 1

The correct option is B 342.8 m/s

$T_1={47}^{\circ }C=47+273=320K{T}_2={17}^{\circ }C=290K{v}_1=360m{s}^{-1}{v}_2=?\frac{v_1}{v_2}=\sqrt{\frac{T_1}{T_2}}\frac{360}{v_2}=\sqrt{\frac{320}{290}}\frac{360}{v_2}=1.05v_2=\frac{360}{1.05}=342.8m{s}^{-1}$

Ans: $=342.8m{s}^{-1}$