A) \[\frac{1}{2}\]
B) \[\sqrt{\frac{3}{8}}\]
C) \[\sqrt{\frac{8}{3}}\]
D) \[1\]
Correct Answer: C
Solution :
[c] de Broglie wavelength of gas molecules \[\lambda =\frac{h}{\sqrt{2mE}}=\frac{h}{\sqrt{3mkT}}\] \[\Rightarrow \,\,\,\frac{{{\lambda }_{H}}}{{{\lambda }_{He}}}=\sqrt{\frac{{{m}_{He}}{{T}_{He}}}{{{m}_{H}}{{T}_{H}}}}=\sqrt{\frac{4(273+127)}{2(273+27)}}=\sqrt{\frac{8}{3}}\]
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