Physics - Sound Wave Question with Solution | TestHub

Speed of sound depends on $T$ temperature, $M$ molar mass and $\gamma$ gas exponent: $\begin{array}{rl}& v=\sqrt{\frac{\gamma RT}{M}}\\ & \Rightarrow \frac{v^{\prime }}{v}=\sqrt{\frac{T^{\prime }}{T}}=1.5\\ & \Rightarrow \sqrt{T^{\prime }}=1.5\sqrt{(273)}\\ & T^{\prime }=2.25\times 273\mathrm{K}=614\mathrm{K}\end{array}$ On writing in degree Celsius: $T^{\prime }=341^{\circ }\mathrm{C}$