The temperature at which the speed of sound in air becomes double of its value at $0^{0}C$ is

Speed of sound $\mathrm{v}=\sqrt{\frac{\mathrm{\gamma RT}}{\mathrm{M}}}$
${\mathrm{T}}_1=(\mathrm{t}+273)\mathrm{k}=(0+273)\mathrm{k} {\mathrm{T}}_2=? {\mathrm{V}}_2=2{\mathrm{V}}_1$

$\Rightarrow {\mathrm{T}}_1=(\mathrm{t}+273)\mathrm{k}=(0+273)\mathrm{k}$

Here, $\Rightarrow \frac{{\mathrm{T}}_2}{{\mathrm{T}}_1}=\frac{{{\mathrm{V}}_2}^2}{{{\mathrm{V}}_1}^2}=4$

$\Rightarrow {\mathrm{T}}_2=4{\mathrm{T}}_1=4 \mathrm{x} 273=1092\mathrm{k}$