1.

If three molecules have velocities `0.5kms^(-1),1kms^(-1)and 2kms^(-1),` the ratio of the rms speed and average speed isA. `2.15`B. `1.13`C. `0.53`D. `3.96`

Answer» Correct Answer - B
rms speed, `v_(rms)=sqrt((v_(1)^(2)+v_(2)^(2)+v_(3)^(2))/(3))`
`=sqrt(((0.5)^(2)+(1)^(2)+(2)^(2))/(3))=2.32kms^(-1).`
Average speed, `v_(av)=(v_(1)+v_(2)+v_(3))/(3)=(0.5+1+2)/(3)=1.17kms^(-1)`
`=(v_(rms))/(v_(av))=(1.32)/(1.17)~~1.13`


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