A) \[\sqrt{2}\]
B) 2
C) \[2\sqrt{2}\]
D) 1
Correct Answer: A
Solution :
[a] \[{{v}_{rms}}\propto \sqrt{T}\]Þ\[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\]\[=\sqrt{\frac{(273+27)}{(273+327)}}=\sqrt{\frac{300}{600}}=\frac{1}{\sqrt{2}}\] \[\Rightarrow \,\,{{v}_{2}}=\sqrt{2}{{v}_{1}}\]
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