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The ratio among most probable velocity, mean velocity and root

Question

The ratio among most probable velocity, mean velocity and root mean velocity is given by

1 : 2 : 3

1 : 2 : 3

2 : 3 : \frac{8}{π}

2 : \frac{8}{π} : 3

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Text solutionVerified

Most probable velocity,

U_{m p} = \frac{2 R T}{M}

Mean velocity, U_{a v} = \frac{8 R T}{π M}

Root mean square velocity, U_{r m s} = \frac{3 R T}{M}

so,

U_{m p} : U_{a v} : U_{r m s} = \frac{2 R T}{M} : \frac{8 R T}{π M} : \frac{3 R T}{M}

= 2 : \frac{8}{π} : 3

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Question Text	The ratio among most probable velocity, mean velocity and root mean velocity is given by
Answer Type	Text solution:1
Upvotes	150