The de-Broglie wavelength of a molecule in a gas at rocen lemperature ( 300 K ) is $i_0$ If the temp

Question

The de-Broglie wavelength of a molecule in a gas at rocen lemperature ( 300 K ) is $i_0$ If the temperature of the gax is increased to 600 K , then the de Bouglie wavelength of the same gas molecule becomes

Professor PC Thomas Classes · Answer

$\lambda \propto 1/\sqrt{T}$. If $T$ doubles, $\lambda \rightarrow \lambda_0 / \sqrt{2}$.