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If u(1), u(2), u(3) "…..." represent the...

If `u_(1), u_(2), u_(3) "…..."` represent the speed of `n_(1), n_(2) , n_(3) ,"…..."` molecules , then the root mean square speed is `"____________"`.

A

`( ( u_(1)^(2) + u_(2)^(2) + u_(3)^(2)+"......")/(n_(1)+n_(2)+n_(3)+"......."))^(1//2)`

B

`( ( u_(1)^(2) + u_(2)^(2) + u_(3)^(2)+"......")^(1//2))/(n_(1)+n_(2)+n_(3)+".......")`

C

`((u_(1)^(2))^(1//2))/(n_(1)) + ((u_(2)^(2))^(1//2))/(n_(2)) + (( u_(3)^(2))^(1//2))/( n_(3))+"......."`

D

`(( ( u_(1) + u_(2) + u_(3)+"......")^(1//2))/((n_(1)+n_(2)+n_(3)+".......")))^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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