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The ratio of root mean square velocity of average velocity of a gas molecule at a particular temperture isA. `1 : 1.086`B. `2 : 1.86`C. `1.086 : 1`D. `2.086 : 1`

Answer» Correct Answer - C
Root mean square velocity `(V_(rms))=sqrt(3RT)/(M)`
Average velocity `(V_(av))=sqrt(8RT)/(piM)`
For a gas at temperature T, M is constant.
`:.V_(rms)/V_(av)=sqrt(3Rt)/(M)xxsqrt(piM)/(8RT)`
`(sqrt(3)xxsqrt(pi))/(sqrt(8))=(sqrt(3)xxsqrt(3.14))/(sqrt(8))=1.086/1`


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