The ratio of most probable velocity to the average velocity is :

π / 2

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2 / π

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\sqrt{π} / 2

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2 / \sqrt{π}

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Solution

The correct option is C $\sqrt{π} / 2$
We know average velocity $v = \sqrt{\frac{8 R T}{π M}}$

and most probable velocity $α = \sqrt{\frac{2 R T}{M}}$

So, their ratio $= α : v = \sqrt{\frac{2 R T}{M}} : \sqrt{\frac{8 R T}{π M}}$ $= \frac{\sqrt{π}}{2}$

Hence the correct option is C.

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