A) \[\frac{100\sqrt{2}}{3}\]
B) \[100\sqrt{2}\]
C) \[\frac{400}{\sqrt{3}}\]
D) None of the above
Correct Answer: C
Solution :
| [c] r.m.s. velocity doesn't upon pressure, it depends upon temperature only i.e. \[{{v}_{rms}}\propto \sqrt{T}\] |
| Þ\[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\]Þ\[\frac{200}{{{v}_{2}}}=\sqrt{\frac{(273+27)}{(273+127)}}=\sqrt{\frac{300}{400}}\] |
| Þ\[{{v}_{2}}=\frac{400}{\sqrt{3}}\,m/\sec \] |
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