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The ratio of root mean square velocity t...

The ratio of root mean square velocity to average velocity of a molecule at a particular temperature is

A

`1 : 1.086`

B

`2 : 1.86`

C

`1086 : 1`

D

`2.086 : 1`

Text Solution

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(c ) For a gas at temperature T, M is constant.
`therefore` Ratio of `(v_(rms))/(v_(av))=sqrt((3RT)/(M))xxsqrt((piM)/(8RT))=(sqrt3xxsqrtpi)/(sqrt8)`
`(sqrt3xxsqrt3.14)/(sqrt8)=(1.086)/(1)`
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