A) \[\frac{100\sqrt{2}}{3}\]
B) \[100\sqrt{2}\]
C) \[\frac{400}{\sqrt{3}}\]
D) None of these
Correct Answer: C
Solution :
| [c] Change in pressure will not affect the \[rms\] velocity of molecules. So we will calculate only the effect of temperature. |
| As \[{{v}_{rms}}\propto \sqrt{T}\] |
| \[\therefore \] \[\frac{{{v}_{{{300}^{0}}}}}{{{v}_{{{400}^{0}}}}}=\sqrt{\frac{300}{400}}=\sqrt{\frac{3}{4}}\Rightarrow \,\frac{200}{{{v}_{{{400}^{0}}}}}=\sqrt{\frac{3}{4}}\] |
| \[\Rightarrow \] \[{{v}_{{{400}^{0}}}}=\frac{200\times 2}{\sqrt{3}}=\frac{400}{\sqrt{3}}\,m/s\] |
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