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

If `C_(1),C_(2),C_(3)…` represent the speeds of `n_(1),n_(2),n_(3) …` molecules respectively, then root mean sqare speed will be:

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
`r.m.s` velocity is square root of square of velocity possessed by different fraction of molecules.
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