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If C(1), C(2), C(3) ….. represent the sp...

If `C_(1), C_(2), C_(3) …..` represent the speeds on `n_(1), n_(2) , n_(3)…..` molecules, then the root mean square speed is

A

`((n_(1)C_(1)^(2)+n_(2)C_(2)^(2)+n_(3)C_(3)^(2)+……….)/(n_(1)+n_(2)+n_(3)+.....))^(1//2)`

B

`((n_(1)C_(1)^(2)+n_(2)C_(2)^(2)+n_(3)C_(3)^(2)+…...)^(1//2))/(n_(1)+n_(2)+n_(3)+....)`

C

`(n_(1)C_(1)^(2))^(1//2)/(n_(1))+(n_(2)C_(2)^(2))^(1//2)/(n_(2))+((n_(3)C_(3)^(2))^(1//2))/(n_(3))`

D

`[((n_(1)C_(1)+n_(2)C_(2)+n_(3)C_(3)+.....)^(2))/((n_(1)+n_(2)+n_(3).....))]^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Root mean sqaure speed
`[(n_(1)C_(1)^(2)+n_(2)C_(2)^(2)+n_(3)C_(3)^(2)+)/(n_(1)+n_(2)+n_(3)+.....)]^(1//2)`
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