A) \[\tilde{\ }{{10}^{11}}\]
B) \[\tilde{\ }{{10}^{13}}\]
C) \[\tilde{\ }{{10}^{10}}\]
D) \[\tilde{\ }{{10}^{12}}\]
Correct Answer: D
Solution :
\[\text{v}=\frac{{{V}_{a\text{v}}}}{\lambda }\] \[\lambda =\frac{RT}{\sqrt{2}\pi {{\sigma }^{2}}{{N}_{A}}P}\] \[P=\frac{RT}{V}\] \[\Rightarrow \lambda =\frac{V}{\sqrt{2}\pi {{\sigma }^{2}}{{N}_{A}}}\] \[{{V}_{a\text{v}}}=\sqrt{\frac{8}{3\pi }}\times {{V}_{rms}}\] \[\therefore \text{v}=\frac{200\times \sqrt{2}\pi \times {{\sigma }^{2}}{{N}_{A}}}{25\times {{10}^{-3}}}\times \sqrt{\frac{8}{3\pi }}\] \[=17.68\times {{10}^{8}}/\sec .\] \[=.1768\times {{10}^{10}}/\sec \tilde{\ }{{10}^{10}}\] This answer does not match with JEE-Answer key
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