A) \[<{{C}_{H}}>=\sqrt{2}<{{C}_{He}}>\]
B) \[<{{C}_{H}}>=<{{C}_{He}}>\]
C) \[<{{C}_{H}}>=2<{{C}_{He}}>\]
D) \[<{{C}_{H}}>=\frac{<{{C}_{He}}>}{2}\]
Correct Answer: B
Solution :
Average velocity of gas molecules \[C=\sqrt{\frac{8PCV}{\pi m}}\] \[<{{\overline{C}}_{H}}>=\sqrt{\frac{8\times 1\times V}{\pi \times 2}}\] \[<{{\overline{C}}_{He}}>=\sqrt{\frac{8\times 2\times V}{\pi \times 4}}\] \[\therefore \] \[<{{\overline{C}}_{H}}>=<{{\overline{C}}_{He}}>\]
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