Answer
$2.12$
Work Step by Step
We know that
$v_{rms}=C\sqrt{T}$
Now $\frac{v_2}{v_1}=\frac{C\sqrt{T_2}}{C\sqrt{T_1}}$
$\implies \frac{v_2}{v_1}=\sqrt{\frac{T_2}{T_1}}$
We plug in the known values to obtain:
$\frac{v_2}{v_1}=\sqrt{\frac{1273}{283}}$
This simplifies to:
$\frac{v_2}{v_1}=2.12$
