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What is the de-Broglie wavelength of a nitrogen molecule in air at $300\;K$ Assume that the molecule that the molecule is moving with the root- means - square speed of molecules at this temperature ? (Atomic mass of nitrogen = $14.0076\;u$) given : $h= 6.63 \times 10^{-34}\;Js,m_n= 1.675 \times 10^{-27}\;kg; k= 1.8 \times 10^{-23}JK^{-1}$

$\begin{array}{1 1} 2.75 \times 10^{-10}\;m \\ 2.75 \times 10^{10}\;m \\ 0.275 \times 10^{-10}\;m \\ 0.275 \times 10^{10}\;m \end{array} $

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