A) \[80\text{ }m/s\]
B) 100 5 m/s
C) \[80\sqrt{5}m/s\]
D) \[100\text{ }m/s\]
Correct Answer: B
Solution :
\[{{V}_{rms}}=\sqrt{\frac{3RT}{{{M}_{\text{w}}}}}\Rightarrow {{\text{v}}_{rms}}\propto \sqrt{T}\] Now,\[\frac{\text{v}}{200}=\sqrt{\frac{500}{400}}\Rightarrow \frac{\text{v}}{200}=\frac{\sqrt{5}}{2}\] \[\Rightarrow \text{v}=100\sqrt{5}m/s\] Option
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