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Assume that a molecule is moving with the root mean square speed at temperature \( 300 \mathrm{~K} \). The
\( \mathrm{P} \) de Broglie wavelength of nitrogen molecule is (Atomic mass of nitrogen \( =14.0076 \mathrm{u} \), \( h=6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}, k_{B}=1.38 \times 10^{-23} \mathrm{~J} \mathrm{~K}^{-1} \),
\( \left.1 \mathrm{u}=1.66 \times 10^{-27} \mathrm{~kg}\right) \)
(a) \( 2.75 \times 10^{-11} \mathrm{~m} \)
(b) \( 2.75 \times 10^{-12} \mathrm{~m} \)
(c) \( 3.24 \times 10^{-11} \mathrm{~m} \)
(d) \( 3.24 \times 10^{-12} \mathrm{~m} \)
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